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MAYAN TREASURE:

Space and Time Unified at Teotihuacan RESEARCH SUMMARY NO.5: 1971--2006

by Hugh Harleston, Jr. Edited: August, 2006

SECTION I: 2002 SECTION II: 2003 SECTION III: 2004 SECTION IV: 2004 SECTION V: 2005

[see: www.harleston13.com ]

© - Hugh Harleston, Jr. - 2006

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[Also see original posting in 2002 under http://geocities.com/harleston13]

Teotihuacan figurine of a Halach. Two double circles (1,512) multiplied by 9, the necklace beads, equals 13,608: the number of Jupiter/ Saturn conjunctions in a Numerical Ark of height 57 Mayan units (cf. Fig.3.) 13,608 x 100 are 1,360,800 days=Mayan Long Count 9.9.0.0.0, marking 400 Saturns and 378 Jupiter synodic orbits, plus 378 addi-tional days (see text and Fig.5.) Teotihuacan’s base is 378 units and its mathematical architecture correlates submultiples of factorial 9! Hugh Harleston, Jr., P.O.Box 43-1192, SAN DIEGO, CA. 92143-1192

[e-mail: harleston13(at)yahoo.com] pp.ii

MAYAN TREASURE: Space and Time Unified at Teotihuacan COMBINED RESEARCH SUMMARY 1971-2006

SECTION I: 2002 (1) Mayan archaeology; (2) Mayan astronomy: Solar system time counts; (3 ) Archae- ological Geodesy; (4) 400 Saturn synodic orbits & Long Counts; (5) Mayan Codices. SECTION II: 2003 (1) Mayan architecture; (2) Astronomy: synodic planetary orbits; (3) Mayan mathematics; (4) Ancient Sacred Numbers; (5) A model in STU of earth area and volume; (6) Universals; (7) Intentionally Inexact Pi; (8) Numerical “Arks;” (9) Universal Spheres; (10) Tulum’s solar events; (11) Suggestions for future research. SECTION III: 2004 (1) Mayan bar-and-dot system; (2) Factorials given by architecture; (3) Natural log- arithm “e”; (4) A Multidimensional Matrix; (5) Hebrew Kabbala / Greek Gematria; (6) Pythagorean Diatonic Units at Parthenon are same basic numbers as at Teotihua- can; (7) Suggestions: future research; (8) Conclusions, Supplemental Bibliography. SECTION IV: 2004 24-dimensional Touching-Number, 1974, (renamed “Kissing” Number, 2005) has 55 factors of its 151 divisors shown by STU dimensions at Teotihuacan. SECTION V: 2005 (1) Basic Teotihuacan design uses 9! = 362,880; (2) Geodesic research sources; (3) Factorial limits and prime numbers; (4) Did Mayans know decimals? (5) Triangular and overlapping numbers; (6) Vertical dimensional correlations; (7) Conclusions and predictions; (8) Future research suggestions; (9) Beyond the Speed of Light.

[posted www.harleston13.com – 2006] pp.iii DISK: MAYTRESU-05T2ED (reedited April 12, 2006 & August 09, 2006)

for my wife Ana Lucia, who made this possible

ACKNOWLEDGEMENT

is gratefully made to Hector M. Calderón: Civil Engineer, Mayologist Par Excellence,

Friend and Mentor;

Appreciation is expressed to archaeologists

Matthew Wallrath, Ph.D. Ana Maria Jarquin, Ph.D. Enrique Martinez, M.S.;

to mathematician

H.Daniel Brunk, Ph.D.;

and to engineer

Alfred E. Schlemmer, M.S.

for critical review of this Research Summary

Thanks to Leon Martin N. and Juan Manuel Martin N. for tech- technical assistance and computer enhanced illustrations; and to

Gabriela Gutierrez S. for the special design of my website homepage

pp.iv

MAYAN TREASURE Section I INDEX

ABSTRACT vii RESEARCH SUMMARY 1 CHILAM BALAM DE CHUMAYEL 2 FIGURE 1: DOUBLE CIRCLES & CROSS 2A A MAYAN TIME-MAP 3 FIGURE 2: "CEREMONIAL ZONE" MAP 3A A THREE-DIMENSIONAL “BOX” 4 FIGURE 3: A “NUMERICAL ARK” 4A THE FALCON PATIO (“Quetzalpapalotl”) 5 FIGURE 4: TRIPLE-ECLIPSE MURAL 5A MAYAN DATING 6 INTERLOCKED MULTIDIMENSIONALS 9 THE LONG COUNT AT TEOTIHUACAN 10 OPEN QUESTIONS 11 JUPITER LAG TIMES = KATUNS 13 JUPITER/SATURN CONJUNCTIONS 14 THE GOLDEN MEAN AT TEOTIHUACAN 15 FIGURE 5. TABULATION: 400 SATURNS & NOTES 16 APPENDIX 1: CONCLUSIONS 19 APPENDIX 2: BIBLIOGRAPHY 22 APPENDIX 3: STU CONVERSIONS 27 (there is no p.28) APPENDIX 5: FIG. 6 -- THE “CITADEL” 29 FIG. 7 – MAYAN ZODIAC (CODEX) 30 FIG. 8 – NORTH ZONE IN STU 31 FIG. 9 -- CONTOUR MAP, 1962 32 FIG.10 – FALCON COLUMN 33 FIG. 11 – UNIVERSAL CIRCLE 34 FIG. 12 – JUPITER/MARS ORBITS 35

pp.v

MAYAN TREASURE: Space and Time Unified at Teotihuacan COMBINED RESEARCH SUMMARY: 1971 – 2006

INTRODUCTION

Dimensional messages at a known site provide information beyond ex- pectations as new data required a revision of assumptions. These included believing that the speed of light is limited, that ancient world sites are not independent, and that the Mayan design was haphazard and not a long term mathematical plan. Identical numbers are found in Europe and America: in Greece and Mexico, two systems of thought alien to each other, whose architecture was laid out with completely different units of measure. Both incorporate the same six key abstract numbers. This led to modification of beliefs with respect to theoretical capabilities of ancient architects. Mayan counts permit construction of a multi-dimensional matrix that today’s units cannot duplicate: a 360-degree Egyptian circle, metric measurements, and Newtonian time seconds per day are limited. Future science can redefine these so as to unify space and time measurements with whole numbers.

Perhaps the only group to have linked Jupiter/Saturn sky-counts to mathematical architecture were the Mayans in Mexico. That they achieved this is abundantly documented by their records. Two dozen suggestions herein invite researchers to evaluate this hypothesis.

For findings to date please refer to the Abstract and 22 conclusions un-der Section I; to the Abstract, Summary and 6 conclusions under Sec- tion II; and to the Abstract and 5 conclusions under Section III. Cor- relation of 24-dimensional Touching Numbers appears in Section IV, and a suggested mathematical design base---factorial 9!--- in Section V, as well as twelve additional conclusions. Hugh Harleston, Jr. August 9, 2006 pp.vi

MAYAN TREASURE-SECTION I ABSTRACT HARLESTON Section I Summary presents findings that indicate that the designers of Teotihuacan were Mayan. Identification was made possible by isolating the unit of measure used by the constructors. This permitted comparison of redundant dimensions in the architecture, which led to deduction of the mathematical capabilities of the designers. Astronomical counts form a chronological model of the solar system. 1.) A unit of linear measure was found: the Standard Teotihuacan Unit

(STU) of 1.0594(6) meters (41.7111 English inches.) More than 7,000 conversions were made of dimensions in the “Ceremonial” Zone: 1,924,582 square meters (1,714,608 square STU = 756 X 2,268 STU.) Rounding of dimensions of stone structures were held to less than the official photogrammetric aerial map restoration (accuracy, scale of 1:2000, is +/- 50 centimeters (see Appendix 3.) Many repeating dimensions are factored by prime numbers 2, 3, 5 and 7.

2.) Dimensions of Teotihuacan appear in the Mayan Dresden Codex,

pp. 71 to 73, in the form of 13 counts, corrections every 21,600 days (three Katuns) to obtain 59-year Jupiter/Saturn conjunction counts as multiples of 21,546 days, a Mayan approximation. To achieve precision Mayans used integral numbers, later corrected by adding or subtracting integral days after long-term lapses.

3.) The design triangle of Teotihuacan is formed by the two largest

pyramids and the Great Avenue. This triangle defines two 378-day Saturn orbits as 756 STU, the number of 399-day Jupiter orbits for the planet to circle one-third of the Zodiac as 720 STU; and the base leg 231 STU, the number of Katuns to reach the eleventh elapsed count of 400 Saturns of 151,200 days between zero reference in 3,114 B.C. and the 4,400th Saturn in 1,441 A.D. The twelfth and last date was in May of 1,855 A.D. for 4,800 Saturn orbits (uncorrected.)

4.) The “Ceremonial” Zone presents (north/south) the 13-Katun count

93,600 days, encoded twice as “936 STU.” Also shown is a Mayan

vii

ABSTRACT - SECTION I (Contd.)

Oxlahkatun of 1,872,000 days encoded as “1,872 STU.” Distan- ces for Mercury, Venus and Mars orbital counts are given in STU. 5.) In three dimensions the Zone registers volumes in cubic STU that

I have named “Numerical Arks.” The volume of this integral numerical box “contains” Saturn synodic orbits, Jupiter synodic orbits and Jupiter/Saturn conjunctions of 7,182 days (one Katun minus 18 days.) “Ark” volume of height 57 STU can be factored to give the reduced scaled area of an earth sphere, the synodic orbital time of the moon and the number of visible Jupiter/Saturn conjunction counts (every third conjunction.)

6.) Painted murals exhibit Mayan solar eclipse day-counts (Dresden

Codex.) On factoring the total count by the Jupiter number 720 and the synodic orbit of Mercury of 117 days (Dresden Codex) the mural renders the same precision lunar orbit given by the Dresden Codex and by stone glyphs carved at Palenque’s Palace: 29.5308642 days.

7.) Mayan Long Counts that give anniversary dates for twelve sets of

400 Saturns (multiples of 151,200 days = 1.1.0.0.0) are the overall Teotihuacan design basis, that also rests on 378 STU, one side of the “Citadel,” that we believe was a “Great Quadrangle of Saturn.”

8.) Dating at Teotihuacan is proposed, based on registers of 400-Saturn

anniversaries at Copán and Palenque (631 A.D.) and at Edzna recorded in 1,027 A.D. (see Fig.5, pp.16, Section I.)

9.) This Summary proposes significant new Mayan dates (Fig.5,)

importance of the number “9” (Fig.12) and illustrations of the corrected Mayan Zodiac, pp. 23-24, Paris Codex (see Figs. 7 & 10.)

10) For additional data, please consult references listed in the partial Bibliography, Appendix 2, Section I. pp.viii

ORIGINAL FILE REF: 01-12/TEO DISK: MAYTRESU-05T2ED // reedited 09-VIII-06

MAYAN TREASURE Space and Time Unified at Teotihuacan

Research Summary No.5: 1971 - 2006

Teotihuacan is a monumental pyramidal zone forty-five ki-lometers from downtown Mexico City, less than an hour by car. Data showing the 192-city-block area to be Mayan was gathered between 1971 and 1984. More indications were found in 1996 and 1998. Additional confirmations appeared in 2001, 2002, 2003, 2004 and 2005 (see Bibliography, pp.22-26, below and supplemental Bibliography, Section III, p.29.) Ongoing research was compared by studying Mayan astronomical and calendrical data. Field research included 352 visits to the Teotihuacan Valley (1947 to 2003) and over two hundred field excursions between 1971 and 2003. Dimensions were laid out using a unit of one meter, six centimeters: 1.0594(6) m., named a Standard Teotihuacan Unit (STU.) The largest single structure is a quadrangle whose side in STU equals the number of days (earth revolutions) for Saturn to reappear overhead: 378 = 6 times 7 times 9. It was recognized that a great rectangle forms the “Ceremonial Zone,” measuring not only two by six orbits of Saturn but also twelve Great Quadrangles whose four sides total a whole number: four times 378; i.e., 1,512. This number defines time periods, spherical areas, geometrical codes and counts of events. The builders laid out a series of 36 three-dimensional rectan-gular boxes that I have named "Numerical Arks."

pp.1

MAYAN TREASURE An “Ark” can "contain" a series of numbers covering more than 250,000 years of solar system planetary relationships. Mayans used the same number for differing time and space measurements. Enclosed in an “Ark” 57 STU high is a factor for calculating the moon’s orbit. This number is "137," a con-stant used by modern physics. Belief in “scientific" knowledge can be a fatal supposition: to deny that any past civilization could possibly know as much as we. Every day more previously tabú “possibilities” are converted into probabilities by modern researchers. By no means does this imply that Mayans knew the hydrogen fines constant. In basic research results are unknown, therefore cannot be predicted until after ingenious experiments have shown why, or why not, previously assumed exceptions occur. The factor "137" in the magna design is a factor in calculating a precision value for the moon's orbital time. Mayan mathematicians may have arrived at this knowledge intuitively or by tradition. A major find indicated that Mayans designed Teotihuacan: a Mayan text translated by Mediz Bolio, 1941, written in the 16th century by elders. A figure found frequently at Teotihuacan appears (Fig.1.) It represents 93,600 days, or one hundred times "936." The Mayan text states "13 Katuns (of 7,200 days) are the count of the sky in the great dark church of learning. To ascend "9" is needed.” Seven years were dedicated to combing hills and mountains

pp.2

MAYAN TREASURE searching for these figures, made from holes pecked in stone to form a double circle and a cruciform cross, often with twenty holes per arm plus a center dot: eighty-one = 9 times 9 (Gaitan, et al, 1974, see Bibliography)

A Univac geodesic-arc computer program was applied, with a polar diameter of 12 million STU's (12,713,557 meters) corrected for the Clark spheroid. Great circles guided us to 37 precalculated marked points, at distances up to 2,750 kilometers from the Great Pyramids of Mexico.

In 1997 a floor was excavated near the "Sun" Pyramid by Linda Manzanilla. At least 18 figures were pecked or scratched into the floor. Before I saw them, I told two witnesses that there should be double, triple, quadruple or more circles. If two circles mean 13 Katuns, then four circles could be 21 Katuns, a count of 151,200 days. Photographs confirmed that these designs are on the previously buried floor.

In 1974, a map (Fig.2) of the “Ceremonial Zone” was drawn in Mayan units. The map shows the number “936” twice. The sum is “1,872.” After a Katun of 7,200 days Mayans used Niktekatun (or “Baktun”) to name a period of 144,000 days. Thirteen Niktekatuns are one Oxlah-katun: 1,872,000 days, a thousand times the marked “1,872,” or 400 cycles of 13 Tuns of 360 days = 5,200 Tuns. Fig.2 was redrawn in 1998. In the 1990’s excavations revealed a precolumbian concrete floor surrounding the Great Pyramid. Its level was 57 STU’s below the original summit, that fortunately had been conserved. From the secret cave underneath it the Pyramid measures 63 STU's high (see Fig. 3.)

pp.3

MAYAN TREASURE From the base of the “Moon” pyramid down to the Citadel’s No. 3 pyramid (misnamed Quetzalcoatl in Aztec) is 30 vertical STU. For an averaged “Ark” the height could have been marked halfway between the “Moon’s” base and the No.3 pyramid’s base (Tompkins, ’76, pp.238-9, 243, 246, 251.) It was logical that it should mark the level "2,166 STU." It is marked by the concrete floor 57 units below the summit of the pyramid, currently referred to as the “Sun.” Mayan mathematics suggest it was a Pyramid of Jupiter, and also a scale model of earth’s surface area. Naming at Teotihuacan has been based on unproved assumptions, unfortunately using Aztec terms. “Aztecs” are believed to have come into the Valley of Mexico some 300 years later than the departure of the residents, now speculated to have been 6th to 8th centuries A.D. A three-dimensional map was made of the “Ceremonial" Zone (Fig.3.) This “numerical box” has a volume equal to its length (2,268) times its width (756) times its 57-STU height. The volume is a number greater than 97 million. In days, it is the equivalent of over a quarter million years. This Ark’s volume “encloses” a “cargo” of whole numbers, which include: (a) Jupiter orbits of 399 days; (b) Saturn orbits of 378 days; (c) sky meetings of Jupiter with Saturn every 7,182 days; (d) the exact Mayan lunar orbit within 99.999%; (e) 137, the divisor for obtaining the moon’s orbital time; and (f) precision area of earth on a reduced scale of 1:100,000. Mayans may have managed information systems recreated by geniuses with neuronal computers, called “brains.”

pp.4

MAYAN TREASURE I believe there were Mayan “Einsteins,” i.e., several super-brains operating at Teotihuacan during its design stages. In 2,001 another find. A great Plaza was named “of the Moon” because the pyramid was alleged to have that name in Nahuatl (Aztec.) The Aztecs, who showed up centuries later, said their forefathers probably called the mound Meztlicue, “moon pyramid.” Their “memory” was invention. The moon is not seen to the north. This pyramid, the first to be erected, was more likely to have been an observatory for never-setting stars that circle the north star. On the west side of the “Moon” Plaza are buildings excavated in the 1960’s, one of them assigned an Aztec name: “Palace of the Quetzal Butterfly” (Quetzalpapalotl.) The open patio is surrounded by columns, whose designs do not include a single quetzal bird (Fig.10.) Twenty-eight rectangular facings are carved with profiles of falcons, identified by two double circles that it carries on its beak, confirmed by ornithologists (Fig.4.) The profiled columns bear double-circles in carved stone. The four circles (see Fig.11) symbolize four times six times seven times nine: 4 x 378, the number 1,512.

1,512 STU's are a walk around the Great Quadrangle of Saturn, eighteen blocks south of the Falcon Patio. The other ten column faces show a combination of figures representing Mayan constellations that appear overhead on May 19th, after midday sun has crossed the zenith at Teotihuacan’s latitude (Calderon, ’84, ’89; cited in “El Universo de Teotihuacan,” 1991, pp. 189-192, re the Paris Codex.)

pp.5

MAYAN TREASURE Four panels frame the Falcon patio. In unique Teotihuacan red, murals display a set of figures, resembling an arabic “3,” a dark crescent in its center. Each figure can represent a triple eclipse count of eleven thousand nine hundred sixty days, tabulated in the Dresden Codex (also see "El Universo de Teotihuacan," ’87, pp.103, Bibliography) The three eclipse counts: 9,204 days, plus 1,424 plus 1,332 days = 11,960. Two counts are shown by dimensions in the Saturn Quadrangle (the "Citadel.") The third count appears on the Main Avenue (Street of the "Dead,") named by Spanish colonials who didn't know the double meaning of "Miccaotli" in Nahuatl, so associated it with tombs. But the term also means "South to North," the Avenue's orientation. Each panel presents 52 designs. Four panels can be 208 triple eclipses of 33 years each…almost 7,000 years. Why did Mayans register this number? The full impact of sacred art is felt when we divide 208 x 11,960 (= 2,487,680 days) by two highly significant Teotihuacan displays: Separation of the two largest pyramids is 720 STU, a count of Jupiter's 399-day orbits to cross one-third of the Zodiac. To cross the Zodiac requires three times 720: 2,160 orbits, ten times 216, a repeating module, the elevation above sea level of the secret cave under the Great Pyramid: 2,288.4 meters = 2,160 STU. Mercury's synodic orbit is given in the Dresden Codex, that registered three counts (Calderon, 1984.) In Teotihuacan it was almost exactly 117 days, 9 x 13, significant Mayan numbers. Dimensions in the "Citadel" (Fig. 6) and elsewhere, show one, two and three synodic orbits: 117, 234, 351 in STU (see The Keystone, '84, p.111, Bibliography.)

pp.6

MAYAN TREASURE If we divide the days counted on Falcon Patio murals by 720 times 117 what do we find? First, we learn that Mayans registered numbers of cosmic significance. The number "208" is 1,872 divided by 9, a factor of the Zone length (Fig. 2.) If we divide the total eclipse time in days by the Jupiter number 720, then by Mercury's synodic orbit time of 117 days, we obtain 29.5308642…, the precise lunar orbit to seven decimal places, duplicating that reported by Teeple at Palenque (carved in stone in the "Palace,") and in the Dresden Codex tables for eclipses from 755 to 2000 A.D. Codex accuracy equals the Naval Observatory data published in Washington, D.C. In 2001: a tabulation (Fig.5, p.16 below) was made of Mayan day-counts for the anniversaries of periods of 400 Saturn orbits, beginning with the theoretical date in the year 3,114 B.C., which Eric Thompson borrowed from two others (Martinez and Goodman) and renamed as his own count. The date for the beginning of the last long count of the Mayans was averaged by Thompson, changed two days to make it independent, and proclaimed as the “MGT Constant: August 13, 3,114 B.C., 584,283 days after the initial declared date of the Julian calendar beginning. But the “constant” MGT does not correlate positions of the sun in the Mayan Zodiac as corrected by Calderon (Mexico) in 1986, to replace Severin's erroneous speculative interpretations of 1981.

Calderon set corrected zero date at September 13, -3,114 B.C., 31 days after the MGT date, with a constant of 584,314 days. (Calderon, ’82. Also see Fig.5 and Notes, pp. 16-18.) He correlated precolonial Mayan stelae, positions of Venus, stations

pp.7

MAYAN TREASURE of Mars, lunar and post-conquest Mayan dating to show that the introductory glyph carved on stone monuments indicates the position of the sun with respect to star-groups called "constellations.” Mayans used thirteen, not twelve groups as assigned in the middle east by Arabians and Greeks . Studies to date seem to have not recognized that Mayan Halach kept the most important clues to themselves, memorized. A Halach is a person that sees outside and inside simultaneously, and cannot tell a lie. The term comes from Hal, “truth.” Doubly truthful is Hal-Hal, later abbreviated. Mistranslated by colonials, it was said to mean a “local boss, a commander,” instead of the Mayan designation of “a wise person.” To be conscious of external and internal conditions requires discipline, non-verbal silent awareness,… presence, the mark of a spiritual leader. An opening to wider awareness can be discovered, a multi-dimensional vision that can be grasped by anyone whose understanding surpasses memorized intellectual knowledge. Research can permit numerical values of geometrical figures encoded for cosmic counts to be seen. The first is a simple circle whose radius is sixty units. This becomes a dynamic system in movement: a rotating sphere, a scale model of planet earth, deformed by forces that make the pole-to-pole circle shorter than the equatorial circumference. The reality of our condition in space is captured objectively. It evolves into seeing an irrational mathematical constant become rational, an integral number value, perhaps at the speed of

pp.8

MAYAN TREASURE light. However, it seems that Mayans carried this further. A “simple" number, the product of 4, 6, 7 and 9, holds the key to a cosmic vision that follows real lifelines: those of our planet and its neighbors in an altered solar system. Mayan Einsteins produced a monumental stone computer to freeze relationships so that no earthquake could obliterate them. The magnitude and separation of its components were so spread out that each of its four basic parts would yield the messages when the information became essential to survival of that most complex of databank sources: the Halach, awakened and doubly-aware. Mayan number systems interlock. Long before moderns decided to use abbreviated logos Mayans had simplified. Their “corporate logo” was two double circles seen as “earpieces” on figurines, on pottery and murals, repetitively carved on the Falcon Patio columns to show the number “1,512” in code. This same number also appears as 20 times 756 (twenty double circles) on each of the ten west column faces (Fig.10.) 15,120 times ten are: 151,200 days. One circle is “378;” two are “756,” the center-to-center distance between the two largest pyramids, a linear dimension that is the hypotenuse of Teotihuacan’s design triangle. The sides are “720” and “231” (Figs.2,3,7,8.) The multidimensional interlocks with time: “720” is a count of Jupiter orbits as well as two Tun of 360 days.

Another impressive Mayan combination: 21 Katuns of 7,200 days are 151,200 days, one hundred double earpieces or one

pp.9

MAYAN TREASURE hundred walks around the Great Quadrangle of Saturn. Mayan notations registered one Niktekatun -- 144,000 days -- plus one Katun -- 7,200 days, plus zero Tuns (360 days), zero Uinals (20 days) and zero K’in (one day) as a basic day-count. This Long Count: 1.1.0.0.0 = 151,200 days, equal to 400 synodic orbits of Saturn, 400 circles, or in word code, "boys." The Maya-Quiché sacred book – the Popol-Vuh – speaks of 400 "boys.” Written in colonial times, this misinterpreted docu-ment shows astronomical counts and constellation names in Mayan, making sure that ignorant fanatic invaders could not destroy everything, although they are very close to achieving just that in Mexico and elsewhere, right down to our times. Tabulation of 400-Saturn intervals (Fig.5 and Notes) proposes a new set of parameters to students. Mayans constructed the side of their Great Quadrangle as the same number for: * The circumference in degrees of a rotating

universal sphere of radius “60”: 378 * The area of each of 120 triangles that form a sphere of circumference 378 STU: 378 * Saturn’s orbit in days: 378 * The number of orbits of Jupiter in 21 Katuns: 378 * The number of additional days to correct

Jupiter’s count over the 21 Katuns: 378 [and three other multidimensionals (see Notes, p.18)]

pp.10

MAYAN TREASURE Some questions for inquisitive minds: 1.) Why is the area of a universal sphere of radius sixty related to the time of the lunar orbit? It is obtained by dividing 120 x 378 = 45,360 (area) by 6x16x16 = 29.53125, within 13 millionths of the Mayan precolumbian count: 29.5308642. 2.) Why do the orbits of the two satellites of Neptune add to earth’s solar year: 365.242199120 days? This information was restricted by NASA since Voyager’s onboard computers reported Triton and Nereid in the 1980’s. Mayans (Calderon/ Paris Codex) knew 365.242…, but per Calderon they may have corrected to 365.2422, a difference of one second per year. 3.) Why is the lunar orbit a function of the number used for the hydrogen fines constant: 1 / 137? Why doesn’t modern physics consider multidimensionals in its equations, but as-sumes they disappeared in the first second of a questionable, still speculative “big bang” that may turn out to be a whimper? 4.) Why are eclipse cycles and sunspots a function of 23? 23x520 = 11,960 days for eclipses; 23 earth revolutions around the sun (two x 11-1/2 years) is the double sunspot cycle for maximum activity as a group. Eleven years is an individual sunspot cycle. Both were known to Mayans, using obsidian filters to watch the sun rotate in 27 days (three cubed.) 5.) Why are long-term droughts a function of 312 x 365 earth revolutions? Mayans knew that “good times” were short. They were some 156 years out of 1,248. The last bad drought cycle peaked in 776 A.D. The next Mayan probability is centered on 2024 A.D., to begin around 2,011 and last 26 years.

p.11

MAYAN TREASURE The number “312” is marked in the Great Quadrangle as a four-sided figure, a square whose area is 97,344 (Fig.6.) The third magna Mayan count is 97,344,000 Haab of 365 days, a period of 260 Eras, each 73 Oxlahkatuns of 1,872,000 days. The ending of the present Long Count (HMC Constant) will be January 22, 2013 (not December of 2,012 alleged by “MGT,” but changed by L. Schele using Sir Eric’s sly tactics.) 6.) Mayans show precession of the equinoxes as 101 Katuns

and 13 Zodiac sectors: 727,200 x 13 = 9,453,600 days. Dividing by 365.2422 gives a precession time (backward rotation of the north pole) of 25,883 solar years.

7.) The Nineveh Constant calculation: 2,268 x 1,000,000

divided by 240 = 9,450,000 days. Divided by 365.2422 = 25,873 solar years. Why is the Nineveh -- 2,268 -- equal to the N/S length of Teotihuacan, six Saturn orbits? Did the data come from a common source? Or tradition?

8.) Is the Platonic Great “Year” 25,920 Haab (vague years) = 9,460,800 days = 25,902 solar years? We believe it was earth revolutions, but Plato never said so, nor his confidants. Plato is one Katun more than the Mayan (9,460,800 less 9,453,600 = 7,200.) The difference between Plato and Nineveh is 10,800 days, possibly the original sidereal orbit of Saturn. Were there precision preflood measures on earth? Additional Mayan data (see Saturn tabulation, Fig.5, p.16): The lag time of Jupiter behind Saturn’s orbit is 21 days per synodic revolution (i.e., Saturn seen from earth.) pp.12

MAYAN TREASURE This means that each appearance of Saturn from behind the sun will be followed by Jupiter in increasing delays of 21 days. The first time Saturn reappears in 378 days; Jupiter in 399. The second time, after 378 more days, Jupiter appears in 420, or 42 days late. The third time Jupiter will be 63 days late. These are the heights of the three main pyramids, now called “Sun,” “Moon,” and “Quetzalcoatl” in the Aztec language (Nahuatl.) It is evident that no Aztec names should have been applied to Mayan designs. The sequence continues to add multiples of 21 days, until on the 19th revolution of Saturn the two planets are once more together behind the sun. 19 multiples of “21” are in STU dimensions in the Great Quadrangle of Saturn (the “Citadel.”) It is intriguing that twelve of these lag numbers mark the Katuns to define 400 Saturns. The Falcon Palace (Quetzalpapalotl) exhibits counts of 21. If we convert Katuns in days to "Long Counts" we see: The First Long Count 1.1.0.0.0 = 21 Katuns: 151,200 days. The Second Count is 2.2.0.0.0 = 42 Katuns: 302,400 days. The Third Count is 3.3.0.0.0 = 63 Katuns: 1,200 Saturns on day No. 453,600. The Katun sequence in sets of 7,200 days follows the same series as day counts in the Great Quadrangle. Saturn’s anniversaries were registered in Copan and Palen-que (9.9.0.0.0 = June 11th, 613 A.D.) The Kahlay Katunob count was renewed at Edzna (10.10.0.0.0 = June, 1027.) Official dates speculated as approximate beginnings at Teotihuacan are +/-200 B.C., with the “Moon” Plaza finished about 200 A.D. p.13

MAYAN TREASURE I propose dates were July 1st, 216 B.C. (7.7.0.0.0) and June 21st, 199 A.D. (8.8.0.0.0) – summer solstice (HMC chronological Constant,) when the Falcon Patio may have been dedicated. I propose Mayans celebrated great festivals on the 12th anniversary: May 11th, 1855 A.D. to mark solar zenital crossing at Latitude 17° North, that included Naranjo (Belice,) Piedras Negras (Guatemala,) Ocosingo (Chiapas,) Monte Alban (Oaxaca) and Juxtlahuaca (Guerrero.) Historians are invited to look for these (see Notes, Fig.5.) How can we not recognize Mayan genius, when we see that the logo number 1,512 multiplied by Hunab Ku’s number “9” is 13,608: the Jupiter/Saturn conjunctions encapsulated in the Numerical Ark with height 57 STU. 13,608 is also 216 x 63. The date for 3,600 Saturns: 1,360,800 days, is one hundred times the Jupiter/Saturn count, and the No.3 pyramid’s base design is 60 x 60 = 3,600 Square STU. Teotihuacan’s displays showed us that mathematical equations for the arc segments on an icosa-dodecahedrally marked sphere are functions of the square root of the number 2, of the arctangent of 2 and of phi, the golden mean (the square root of 5 plus 1, divided by 2.) A paper was prepared separately for this (Bibliography, Dynamics of the Golden Mean, 2000.)

Below are twenty-two conclusions (Appendix 1) that cover Mayan dimensions, archaeological geodesy and astronomy. It is clear that Mayans did not deify time. They arrived at brilliant correlations to interlock multi-dimensional concepts that mark with high precision long-term repeating celestial events while recognizing that the only objective values that can

pp.14

MAYAN TREASURE - SECTION I be preserved are mathematical relationships. Ignorant invaders from Europe were incapable of assimilating their expertise, so Mayans very carefully made sure their Halach were not identified by the fanatic robots who for three hundred years attempted to “show feathered natives how to live as we say you should” or be eliminated as “pagans.” At Teotihuacan they left no glyphs, no perishable language, no documents. They used “virgin speak” – Zuhuy Wak – nonverbal symbolic methodology, identified by Schwaller de Lubicz at Karnak, Egypt, where he found similar displays. Some moderns have described Mayans as “just one more Mesoamerican culture.” We must declare that they have earned the right to be acknowledged as a true civilization. Hugh Harleston, Jr. Tijuana, B.C., Mexico (reedited April/2006) pp.15

FIG.5: INTERVALS OF 400 SATURNS RELATED TO TEOTIHUACAN

LONG COUNT

DATE SUN IN: (ZODIAC)

DAYS ZERO

(KATUNES)

SATURN (ORBITS)

JÚPITER (ORBITS)

+ DAYS

[NOTE] 0.0.0.0.0 4 Ahau

8 Kumku

Sept. 13, -3,114 B.C.

(Zero)

Kutz

(Scorpio)

Zero Zero Zero

[N-10]

Zero

1.1.0.0.0 1 Ahau,

13 Dzootz

Sept. 2, - 2,700 B.C.

Moan

(Libra)

151,200

(21)

400 378 378

[N-1]

2.2.0.0.0 11 Ahau, 3 Chen

Aug. 23, -2,286 B.C.

Moan

(Libra)

302,400

(42)

800 756 756

[N-2]

3.3.0.0.0 8 Ahau, 13 Mac

Aug. 12, -1,872 B.C.

Keh

(Virgo)

453,600

(63)

1,200 1,134 1,134

4.4.0.0.0 5 Ahau,

3 Kumku

Aug. 2, -1,458 B.C.

Keh

(Virgo)

604,800

(84)

1,600 1,512 1,512

5.5.0.0.0 2 Ahau, 8 Dzootz

Jul. 22, -1,044 B.C.

Dzec

(Leo/Virgo)

756,000

(105)

2,000 1,890 1,890

[N-2*]

6.6.0.0.0 12 Ahau, 18 Mol

Jul. 12, - 630 B.C.

Dzootz

(Cáncer)

907,200

(126)

2,400 2,268 2,268

[N-3]

7.7.0.0.0 9 Ahau, 8 Mac

Jul. 1, - 216 A.c.

Dzootz

(Cáncer)

1,058,400

(147)

2,800 2,646 2,646

[N-4]

8.8.0.0.0 6 Ahau,

18 Kayab

Jun. 21, 199 A.D.

Aak

(Gémini)

1,209,600

(168)

3,200 3,024 3,024

[N-5]

9.9.0.0.0 3 Ahau, 3 Dzootz

Jun. 11, 613 A.D.

Aak

(Gémini)

1,360,800

(189)

3,600 3,402 3,402

[N-6]

10.10.0.0.0 13 Ahau, 13 Mol

Jun. 1, 1,027 A.D.

Tzub

(Taurus)

1,512,000

(210)

4,000 3,780 3,780

[N-7]

11.11.0.0.0 10 Ahau,

3 Mac

May 21, 1,441 A.D.

Kan

(Aries/Tauro)

1,663,200

(231)

4,400 4,158 4,158

12.12.0.0.0 7 Ahau,

13 Kayab

May 11, 1,855 A.D.

Kan

(Aries/Tauro)

1,814,400 (252) [N-9]

4,800 4,536 4,536

[N-8]

[N-_are Notes. See pp.17 & 18]

[Columns 1,2,3 per computer program Maya 2, © - HMCalderon – 1995, by permission.] DISK: MAYTRE-04T2A.DOC/HH/ 06-V-04 P.16 ©– Hugh Harleston Jr – 2002

INTERVALS OF 400 SATURNS [Observations and Notes to Fig. 5]

1.) The HMC Chronological Constant (Hector M. Calderon, Mexico) is: 584,314 days

after zero on the Julian calendar (Nov.24, - 4,712 B.C.) The “MGT Constant,” borrowed by Eric Thompson from Martinez & Goodman, is 584,283 days (see p. 18.)

2.) Ending of the present Oxlahkatun is Eight Katuns after the last of 400 Saturns: May 11, 1855. Special ceremonies may have been carried out on the day of zenital crossing near Latitude 17°-North. Theoretic locations include: Naranjo (Belice;) Lago Peten, Yachilan, and Piedras Negras, Guatemala; Ocosingo and Tonina, Chiapas; Mitla and Monte Alban, Oaxaca; and Juxtlahuaca, Guerrero. Mayans may have kept secret the real reason for their festivals, but not the magnitude of the event. Historians are invited to verify this theory.

3.) NOTES (numbered on Tabulation, Fig.5):

N-1: 1,512 = 4 x 378 = perimeter of the “Citadel,” = four orbits of Saturn = two double circles, earpieces of Halach (wise men that know truth.) Multiplied by one hundred equals 151,200 days, also equal to 21 Katuns. All counts of corresponding Jupiter orbits as well as extra days added to correct each count are functions of 378, the synodic orbit of Saturn, integral multiples of 6 x 7 x 9.

N-2: 756 = two orbits of Saturn, the distance in STU (Standard Teotihuacan Units of 1.0594(6) meters) from the Great Pyramid to the No.2 Pyramid (see Figs. 2, 3, 7 & 8.) On this date Mercury was at inferior conjunction, crossing the sun.

N-2*: New moon; Mars and Mercury at Superior Conjunction. N-3: 2,268 STU = north/south dimension of the “Ceremonial Zone” = 6 Saturn orbits = six “Citadels” = Nineveh Constant (Question: is Nineveh from the same source?) N-4: Jupiter at Superior Conjunction, behind the sun. N-5: Mercury at Inferior Conjunction, crossing the sun. N-6: Full moon. 13,608 = number of Jupiter/Saturn conjunctions of 7,182 days “contained” in the volume of the magna design, a “numerical ark”: 756 STU by 2268 long by 57 STU high. In addition, 13,608 = 63 X 216 , also 9 X 1,512, and further it is 3 x 4,536 (see N-8.) 3,600 = area of the base, Pyramid No.3 (“Citadel”), measuring 60 STU by 60 STU. Multiplied by one hundred, 13,608 = 1,360,800 days = 189 Katunes (half of 378) to reach 3,600 Saturns, or Long Count: 9. 9. 0. 0. 0, corresponding to June 11th, 613 A.D. (HMC Constant,) registered on stelae at Copan and Palenque. (reedited 16-April-2006) DISK: MAYTRE-04T2A/HH/06-V-04 P.17 © – Hugh Harleston Jr – 2006

INTERVALS OF 400 SATURNS [Observations and Notes, continued]

There may not have been ceremonies at Teotihuacan, due to lack of food during prolonged droughts peaking between 500 and 900 A.D. The abandonment of Teotihuacan is believed by some to be possibly 550 A.D. (Hoffman/2000.) Others theorize that there was no external invasion, only internal problems and that survivors continued on the outskirts of the Pyramidal Zone until late in the 8th century. N-7: Registered at Edzna (1,027 A.D.) when the alternate “short count” was renewed (the KahlayKatunob of 13 Katunes = 93,600 days. (93,600 x 20 =1,872,000 = one Oxlahkatun.) 936 STU is marked twice in the “Ceremonial Zone” = 1,872 STU. N-8: 4,536 is also the number of triple Jupiter/Saturn conjunctions (21,600 less 54 = 21,546 days,*) that “fit” in the magna volume 97,732,656. Furthermore, 4,536 times 10 = 45,360, area of planet Earth in square STU, scaled at 100,000 to one, also equal to 30 x 1,512, perimeter of the “Citadel” (or “Great Quadrangle of Saturn”.) N-9: The lag times, in days, of Jupiter “behind” Saturn are the same as the number of Katuns for multiples of 151,200 days. The series is: 21, 42, 63, …378. Jupiter’s orbit is 21 X 19 = 399. All Long Counts here are multiples of 1,512 (4 x 6 x 7 x 9.) One side of the “Citadel” is the same number used to count:

(a) Circumference of a universal circle with radius “60,” pi = 3.15: 378 (b) Area of each of 120 triangles forming a sphere of circumference: 378

(c) Circumference of the earth, to scale 100,000 to 1: 378 (d) Saturn’s orbit in days: 378 (e) Number of synodic orbits of Jupiter in 21 Katunes: 378 (f) Number of additional days to correct Jupiter over 21 Katunes: 378 (g) Number of triple trips [N-10] of Jupiter in ten magna Arks: 378

(h) Area of each of 20 triangles that form a spherical model of the earth, scaled at 100,000 : 1 = 2,268 = (6) x 378

these are Multidimensional Mayan Mathematical concepts

N-10: For Jupiter to pass through the circle of the Zodiac requires 2,160 orbits of 399 = 861,840 days = 2,280 X 378 = 57 X 10 X 1,512, factors of the magna “Ark.” Ten “Arks” enclose 1,134 circlings of the Zodiac by Jupiter: 3 X 378.

so that 977,326,560 divided by (3 x 861,840)] = 378 All Long Counts computer calculated with Program Maya 2, © – H.M.Calderon-1995. All counts match Mayan solar positions in the Zodiac. All dates given by the MGT “Constant” are in error by one Zodiac Constellation (28-day count) plus 3 days. [*Triple Jupiter/Saturn conjunction corrections identified by Harleston in 1989 on pp.71-73 of the Dresden Codex.]

(reedited August 09, 2006 under MAYTRESU-05T2ED) orig.DISK: MAYTRE-04T2A/HH/06-V-04 P.18 © – Hugh Harleston Jr - 2006

MAYAN TREASURE [APPENDIX 1] HARLESTON CONCLUSIONS MAYAN DIMENSIONS AND MEASURES AT TEOTIHUACAN 1,) Mayan chronological counts are directly obtained when metric dimensions are divided by 1.0594(6) m., the STU. 2.) The same counts are encoded as geometrical figures: circles, triangles, squares, rectangles, ellipses (see Fig.11.) 3.) Values are redundant. Significant counts and their factors repeat at widely separated areas (N/S = 2,403 m.; E/W = 801 m.) 4.) A universal message is a cube with sides of “6” whose volume and area are the same number: “216,” which repeats in dimensions. 5.) A second universal: a tetrahedron of height 12 whose volume and area are 216 times the square root of 3. 6.) A third message: a universal circle of radius 60 units with circumference of 378: 6 times 7 times 9. (Pi = 63/20.) 7.) Identical dimensional numbers appear in Egypt, China, India,

England and Bolivia if measured in STU’s. The “Life of Brahma” -- India = 144 x 2,160 = 311,040 = 360 x 864 (Mayan factors.)

ARCHAEOLOGICAL GEODESY 8.) Mayans calculated and marked kilometric distances great circle. 9.) A double circle and cross encodes: 13 Katuns = 93,600 days. 10) Four circles and cross encodes: 21 Katuns = 151,200 days. 11) Circles and cross marked points from which to observe and register Jupiter/Saturn conjunctions, and/or other marked points (Venus at maximum elongation-47°) up to 50 kilometers (47,000 STU.)

ASTRONOMICAL CORRELATIONS 12) Mayans made telescopes from parabolic and spherical mirrors in a darkroom (camara oscura.) They could have seen (a) moons of Ju- piter, (b) rings of Saturn and (c) three rings around the M31 galaxy. 13) Mayan constellation symbols appear in Teotihuacan as glyphs and pictographs from Paris Codex (see Figs.7 & 10, below.) 14) Synodic orbital times of Mercury, Venus, Mars, Jupiter, Saturn and the moon were registered accurately. (reedited under MAYTRESU-05T2ED, 09-August-2006) DISK: MAYTRE-04T2A/HH/06-V - 04 P.19

MAYAN TREASURE [APPENDIX 1 - contd] HARLESTON 15) 21 Katuns = 151,200 days, that mark 400 Saturns of 378 days and 378 Jupiters of 399 days, with a correction of 378 days (see Fig.5.) 16) The series of Katuns follows the same numbers as lag times of Jupiter behind Saturn in days: 21, 42, 63…, 189 (see Fig.5.)

GENERAL CONCLUSIONS 17) The anniversary date of 3,600 Saturns after the initial Long Count at 3,114 B.C. was 9.9.0.0.0 = 1,360,800 days, registered at Copan and Palenque.* It may have been celebrated at Teotihuacan. The anniversary of 4,000 Saturns -- 10.10.0.0.0,-- or 1,512,000 days, was registered at Edzna in 1,027 A.D. to reinstate the 13-Katun count of 93,600 days.) The 57-STU "Ark"volume “contains" 13,608 Jupiter/ Saturn conjunctions, Edzna's day-count divided by one hundred. Mayans knew multiples of ten (100, 1000, one million.) 18) Teotihuacan may be a Mayan chronological map of the solar system. The magna design Numerical Ark of height 57 is a volume that en- encloses: integral orbits of Jupiter, orbits of Saturn and Jupiter/Sa- turn conjunctions. It also “contains” the lunar orbit, plus triple Jupiter/Saturn conjunctions (every 21,546 days.) Corrections for the latter were identified on pp. 71-73 of the Dresden Codex in 1989. The pictographs of two stars “flying” with double “ribbons” can mean Jupiter/Saturn conjunctions, not “ring numbers.” A series of thirteen 54’s defines Teotihuacan dimensions (see p21) 19) An additional design correlation: an “ark” 756x2268x63, height of the Great Pyramid without a building on the summit, is a volume of 108,020,304 cubic STU, equal to two cubic Saturn Quadrangles. The two (or one cube seen in a mirror) form six-sided boxes whose perimeters are 9072 STU x 2 = 18,144: the 12th anniversary of the 400-Saturn day-count, divided by one hundred. [*Note: Many STU dimensions are found at Palenque, including the level of the entombed personage, which lies at 1.06 meters (one STU) above the floor, marking the distance to the Temple entrance floor a distance of 21 STU, the Jupiter lag-number. This was verified by architect Marcela Paula Cea in 2002. See bibliography.] (reedited under MAYTRESU-05T2ED –09-August-2006.) DISK:MAYTRE-04T2A.DOCHH/06-V-04 P.20

MAYAN TREASURE [APPENDIX 1] HARLESTON 20) Mayans inherited information from more ancient sources, but did not deform the data as in other cases. Official dating is 8,000 to 9,000 B.C. (Hammond, 1986.) Similar information can be found around the globe when differing measures are equalized by the Standard Teotihuacan Unit, 1.0594(6) m. 21) “T’ol-Ti-Wak-K’an” can mean “Here, Conscious, in the Place of Sixth-Dimensional Wisdom.” Teotihuacan is a Mayan bridge beyond time leading to better understanding of multidimensionals. It is the finest example in the Americas of sacred landscape. “Sa- cred” means “to consecrate religiously,” reconnect with our origin, become aware of objective reality, objective truth, objective consciousness: the mathematical relationships of the cosmos. 22) Multidimensional states of attention can free “time” from its Einsteinian chains. Epigraphers will still have a hard job when it is realized that Mayan glyphs also enclose a series of “numerical arks,” hidden cosmic counts encoded as circles, circular arcs, rectangles, squares, triangles and ellipses. Additional mathematical research may clarify multidimensional enigmas. [Note: publication of information under Conclusion (19) was presented in lectures, and registered in “Memoria” deposited at Universidad Mesoamericana, San Luis Potosi (May 19, 2000), at Oaxaca (May 21, 2001), & Universidad de Baja California, Tijuana (October 19, 2001.)] Hugh Harleston Jr, TIJUANA, B.C., MEXICO 22/December/2001 12.19.8.13.11 - 11 Chuen, 9 Keh (reedited under MAYTRESU-05T2ED – 09-August – 2006) P.21

MAYAN TREASURE [APPENDIX 2] HARLESTON

SELECTED BIBLIOGRAPHY [Special Note: Papers marked “[LC] were deposited at the time of issue in the Library of Congress, Washington, D.C. and the Fondren Library, Rice University, Houston, Texas. In each case 100 copies were printed and also distributed to professionals in the fields of Archaeology and Ethnology, plus to selected technically prepared individuals and some thirty libraries in U.S.A. and Mexico.]

BAKER III, George T.

1974 & Hugh Harleston Jr, Alfonso Rangel, Matthew Wallrath, Manuel Gaitan and Alfonso Morales. “The Subterranean System of the Sun Pyramid of Teotihuacan: A Physical Description and Hypothetical Reconstruction.”

XLI International Congress of Americanists and Uac-Kan (Private), 37 pp., 7 drawings, 2 tables, detailed map 1:100 of secret cave, Mexico, D.F. [LC] BARRERA Vazquez, Alfredo, y Silvia Rendon. 1972 El Libro de los Libros de Chilam-Balam, Fondo de Cultura Economica, Mexico, D.F. CALDERON, Hector M. [106 technical papers, partial list: Append.4]

1966 La Ciencia Matematica de los Mayas, Ed.Orion, Mexico, D.F. 1982 (584,314)-Correlacion de la Rueda de Katunes, La Cuenta Larga y las Fechas Cristianas, Grupo Dzibil, Mexico, D.F. 1984 “Possibility that the Maya May Have Recorded a Progressive Acceleration of Mercury.” (Symposium) Archaeoastronomy and Ethnoastronomy in Mesoamerica, UNAM, Mexico D.F.

& Hugh Harleston, Jr. Clarifying the Mayan Zodiac. (A Research Summary) MSS prepared for the American

Philosophical Society of Philadelphia, Mexico, D.F. 1989 (Sequences of the Mayan Zodiac, data for reconstruction of the drawing by Harleston in “El Zodiaco Maya.” (see Harleston.)

CEA, Marcela Paula Gnzl, personal comm, recent (2001) INAH measurements of Palenque's tomb evidence STU dimensions (cf.p.20.) CODEX DRESDEN

1880 (Spanish Edition, Fondo de Cultura Economica, Mexico, 1988.)

CODEX PERESIANUS (PARIS CODEX found by Peres) 1887 (Paris, Leon de Rosny.) 1968 Also SAUER, Francisco, Joseph Stummvoll & Rodolfo Fiedler,

Bibliotheque Nationale Paris, Einleitung und Summary (in English) F.Anders, Akademische Druck-u Verlagsanstalt, Graz, Austria. CORDAN, Wolfgang – Glifos Mayas, Sistema Mérida: cf. insert p.25 DISK:MAYTRE-04T2A/HH/06-V-04 P.22

MAYAN TREASURE [APPENDIX 2] HARLESTON ESCALONA Ramos, Alberto

1940 Cronologia y Astronomia Maya-Mexica. Editora de Revistas, S.A., Editorial Fides, Mexico, D.F. (Mayan sky counts)

GAITAN Meza, Manuel, & Alfonso Morales, Hugh Harleston, Jr. & 1974 G.T.Baker, III., “La Triple Cruz Astronomica de Teotihuacan.”

XLI Congreso Int’l. de Americanistas; also Uac-Kan (private) at Mexico, D.F., 37 pp., 16 dwgs., maps & tables. [LC]

GATES, William 1978 An Outline Dictionary of Maya Glyphs, Dover Publ., Inc., N.Y.

HALL, Robert L. Some Implications of the Astronomical Associations of the La Mojarra

Stela 1 and Tuxtla Statuette Long Count Dates. (MSS for 3rd Int’l. Con- ference on Archaeoastronomy, Univ. of St.Andrews, Scotland, publ. in

Spanish language Revista de la Univ.Veracruzana, La Palabra y el Hom- bre, Oct.-Dic., Xalapa, Mexico, 1991, pp.9-18 & Personal Communication. HARLESTON, Jr., Hugh

1974 “A Mathematical Analysis of Teotihuacan.” XLI Intl. Congress of Americanists, & Uac-Kan (Private,) Mexico City, 36 pp. [LC] 1976 “The Teotihuacan Marker System: Solar Observations and Geodesic Measurement.” XLII Intl. Congress of Americanists, Paris, France & Uac-Kan (Private,) Mexico, D.F., 10 pp. [LC] 1976 & Manuel Gaitan, Alfonso Morales, Matthew Wallrath, Octavio

Flores and Eleazar Garcia. “A Probable Geodesic Grid System of Stone Markers in the Valley of Tepoztlan.” XLII Int’l. Con- gress of Americanists, Paris, France & Uac-Kan (Private) 10 pp. 17 dwgs., maps & tables, Mexico, D.F. [LC]

1981 Did Teotihuacan’s Designers, or their Predecessors, Have a Knowledge of Spherical Trigonometry? (A Research Summary:

1972-1981.) Uac-Kan (Private) Mexico, D.F., 35 pp., dwgs. [LC] 1984 “Prediction by Precalculation of Archaeological Sites and En- graved Stones Based on Teotihuacan Dimensional Modules Pro- jected on Great Circle Arcs”(A Research Summary: 1972-1984) National Photogrammetry Society / American Ass’n of Survey-

ing and Mapping, San Antonio, TX, and Proceedings of NPS/ AASM Convention, Maryland, 1985, 28 pp., dwgs., maps. [LC] 1984 The Keystone: A Search for Understanding. Character Composition, Bellaire, Tx, 136 pp., 38 dwgs., 6 tabulations. [LCCN 88-117575]

DISK:MAYTRE-04T2A/HH/06-V-04 P.23


1987 El Universo de Teotihuacan. Ed.Orion, Mexico, D.F. 1991 El Zodiaco Maya, Ed.Diana, Mexico, D.F.

1996 Thirteen “Heavens” or Mayan Time Counts? 12 pp. (MSS) 2000 Dynamics of the Golden Mean. (Private), Tijuana, Mexico [LC] 2001 Una Enciclopedia Maya (Espacio y Tiempo Unificados en Teoti-

huacan) 3 Conferencias: Universidad Mesoamericana (San Luis Potosi – May/2000 y Oacaca – May/2001;) Univ. de Baja California (Tijuana – Oct./2001,) Mexico. (See Note, Conclusions, p.21.)

LANGENBERG, D.N. & B.N.Taylor.

1971 Precision Measurements and Fundamental Constants. National Bureau of Standards, Washington, D.C.

MARTINEZ Paredez, Domingo 1964 Hunab Ku: Sintesis del Pensamiento Filosofico Maya. Ed.Orion, Mexico, D.F. and personal communications.

MEDINA Peralta, Manuel 1974 Elementos de Astronomia de Posicion. Ed.Limusa, Mexico.

MEDIZ Bolio, Antonio

1941 (reprint ’79) Libro de Chilam Balam de Chumayel. UNAM, Mexico, (pp.113)

MILLON, Rene, Bruce Drewitt & George L. Cowgill

1973 The Teotihuacan Map, Vol.1, Parts 1 & 2, Univ.of Texas Press. MORLEY, Sylvanus G.

1915 An Introduction to the Study of Maya Hieroglyphs, Bulletin 57, Smithsonian Inst. (reprint: 1975, Dover Publ. Inc, New York.)

OUSPENSKY, P.D.

1960 In Search of the Miraculous. Routledge & Kegan Paul, Ltd., London, England.

RECINOS, Adrian 1972 Popol Vuh – Las Antiguas Historias del Quiche. Fondo de Cultura Economica, Mexico, D.F.

SCHLEMMER, Alfred E.

1971 “Some Special Aspects of Technological Forecasting.” Primer Simposio de Pronosticos Tecnologicos, XI Convencion Nacio-

nal del Instituto de Ingenieros Quimicos, Mexico, D.F. DISK: MAYTRE-04T2A/HH/06-V-04 P.24


SCHWALLER de LUBICZ, R.A.

1949 Symbol and the Symbolic. Autumn Press, Brookline, Mass. USA SEVERIN, Gregory M. 1981 “’The Paris Codex’- Decoding an Astronomical Ephemeris.” Transac- tions of the American Philosophical Society, Vol.71, Part 5, Philadelphia. THOMPSON, J. Eric S. 1950 Maya Hieroglyphic Writing, Carnegie Institution, Washington, D.C. (reprint Univ.of Oklahoma Press, Norman, 3rd Ed., 1971.)

1988 “Un Comentario al Codice de Dresde”(310 pp.) Fondo de Cultu- ra Economica, Mexico, D.F. (1st publ. “A Maya Hieroglyphic Book,” American Philosophical Society, Philadelphia, 1972.)

TOMPKINS, Peter, & Hugh Harleston, Jr. 1976 Mysteries of the Mexican Pyramids. Harper & Row, New York and later publications (England & Mexico in Spanish,) with Analysis and 55 original drawings by Hugh Harleston Jr. THEON OF SMYRNA 200 Mathematics Useful for Understanding Plato. Wizards Book- A.D. shelf, San Diego, CA, 1979. VILLACORTA, J.Antonio et al.

1930 Codices Mayas (Codice Tro-Cortesiano/Madrid.) Sociedad de Geografia e Historia de Guatemala, Guatemala City.

ZUKAV, Gary

1980 The Dancing Wu Li Masters (An Overview of the New Physics,) Bantam Books, Inc., New York.

CORDAN, Wolfgang. Introducción a los Glifos Mayas (sistema Mérida) 1969 (Posthumus), edit. R.Kolb, El Manual Moderno, Mexico, D.F. [NOTE: The 75 references in Appendix 2 represent one-fifth of the archaeological bibliography used in the preparation of this Summary.] DISK: MAYTRE-04T2A/HH/06-V-04 P.25

MAYAN TREASURE [APPENDIX 2, CONT.] HARLESTON SUPPLEMENTAL BIBLIOGRAPHY

Partial List of Technical Papers by H.M.Calderon, Mexico, D.F.

1.) No.21. “La Formula Lunar de los Mayas,” 4 pp. 2.) No.26. “El Altar 1 de Naranjo,” 10 pp., 2 drawings. 3.) No.31. “Placa del Altar 1 de Naranjo,” 6 pp. 4.) No.32. “La Formula Lunar de Naranjo,” 3 pp. 5.) No.46. “Los Mayas No Inventaron el Cero,” 2 pp. 6.) No.53. “Por Una Luna,” 7 pp. 7.) No.54. “La Tabla de Mercurio,” 9 pp., 2 drawings. 8.) No.55. “El Calendario Venusino y Joviano del Pos-Clasico Maya,” 5 pp. 9.) No.59. “Tabla de Venus,” 6 pp., 6 drawings. 10) No.61. “Significado de T-1042 (de Thompson,) 4 pp. 11) No.63. “Nuestro Absurdo Calendario Cristiano,” 9 pp. 12) No.64. “Texto de la Lapida de Palenque,” 27 pp., bibliography. 13) No.65. “Fechas de la Cruz de Palenque,” 32 pp., 1 drawing (30/I/’84) 14) No.66. “Las Fechas ‘Cascabel,’” 17 pp., bibliography (19/II/´84) 15) No.69. “Mayas y Toltecas,” 10 pp. 16) No.72. “Jupiter y Saturno,” 8 pp. 17) No.74. “Glifo del Cacao,” 3 pp. 18) No.85. “Glifo y Nombre Maya de Mercurio,” 10 pp. (26/V/’89) 19) No.88. “Las Fechas de Cacaxtla,” 10 pp. 20) No.90. “Localizacion de las Constelaciones del Zodiaco Maya,” 3 pp. 21) No.92. “Estrellas en los Codices Mayas,” 6 pp. 22) No.103 “La Tabla Zodiacal del Codice Peresiano,” 6 pp. (3/II/’88) 23) No.106 “Fecha de la Probable Colisión de Mercurio con el Sol Según Códice de Dresde,” 5 pp. (14/X/’84) 24) ----- “Como Hacian los Mayas la Correccion a la Tabla de Eclipses,” 1 pagina, (12/XI/’91) 25) ----- “Como Predecian los Mayas los Eclipses,” 5 pp., (26/V/’84) 26) ----- “La Prediccion Maya de los Eclipses,” 40 pp. 27) ----- “Tabla de Ek Yum,” 14 pp. (22/II/’85) 28) ----- “Resumen del Calculo del Periodo Sideral de Ek Yum,” 2 pp. (’85) 29) ----- “Los Codices Revelan Que los Mayas Descubrieron Otra Luna, Negra e Invisible,” 2 pp. (20/I/’87) 30) ----- “La Tabla de Jupiter del Codice Dresde,” 7 pp. (01/IX/’90) Copies of the above papers are in the personal library of the author of this Research Summary. For copies or information regarding reproduction and postage contact: Hugh Harleston, Jr. c/o P.O.Box 43-1192, San Diego, CA 92143, USA DISK: MAYTRE-04T2A / HH / 06-V-04 P.26

A MAYAN TREASURE [APPENDIX 3] HARLESTON

CONVERSION OF MEASUREMENTS: ONE STU=1.0594(6) METERS (Roundings are less than official map accuracy of +/- 50 cms.)

Distance Citadel, C. to Cen. West platforms Citadel, C. to Cen. South platforms Citadel: N&S wall Citadel: West wall “Moon” Pyr. to SE Cit. Upper Patio N/S, face-to-face Cit. W.platform Stair to baseline Quetz. Pyramid Cit. Main Stair. Quetz. Pyramid Cit. Baseline of Quetz. Pyramid Cit. NW corner Q-Pyr. to c/L main Staircase

Meters (Source) 171+/-0.5 (2) 153 +/- 0.5 (2) 400 +/- 0.5 (1) 400.5 +/- 0.5 (2) 200 +/- 0.5 (1) 247.9 +/- 0.5 (2) 229. +/- 0.5 (2) 12.8 +/- 0.1 (4) 63.5 +/- 0.5 (3) 31.6 +/- 0.5 (3)

Equivalent STU 161.4 +/- 0.4 144.4 +/- 0.4 377.6 +/- 0.4 378.1 +/- 0.4 188.8 +/- 0.4 233.9 +/- 0.4

216.2 +/- 0.4 12.08 +/- 0.1

59.9 +/- 0.4 29.8 +/- 0.4

Rounded STU

162 = 3x6x9

144 = 3x6x8

378 = 6x7x9

378 = 6x7x9

189 = 3x7x9

234 = 2x9x13 216 = 6x6x6 12 = 2x2x3 60 = 3x4x5 30 = 2x3x5

SOURCE: (1) Drewitt, Bruce. “Data Bearing on Urban Planning at Teotihuacan.” American Anthropological Association Report, Toronto, Canada, 1972.

(2) Millon, Rene et al. The Teotihuacan Map, U.of Texas Press, Vol.1, Parts 1&2, Austin, TX, 1973, Map pp. 76 (Note: map reconstructed from aerial survey photographs, with errors of plus or minus 50 centimeters = 0.5 meters.) (3) Marquina, Ignacio. Arquitectura Prehispanica. Memorias INAH, Lamina 17: La Ciudadela, p.82, Mexico, D.F., 1951 (Topo Map P.Dosal, w/errors)

(4) Steel tape measurements, Harleston & A.Rangel, field notes, June/1980 DISK: MAYTRE-04T2A / HH / 10-V-04 (reedited MAYTRESU-05T2ED – 16/Apr./2006) 27

note: there is no page 28

FIG. 12 (Extract:)HARLESTON, Jr., Hugh, Thirteen “Heavens” or Mayan Time Counts? MSS (Abridged), Tijuana, B.C., Mexico, 21/March/1999 (Orig: 9/March/1996) “…the count of Heaven is 13 Katuns…to ascend use 9’s” ANALYSIS: JUPITER AND MARS COUNTS PER KATUN OF 7,200 DAYS

(19 SOLAR YEARS PLUS ONE TZOLKIN OF 260 DAYS) ____________________________________________________________________ KATUN TOTAL J U P I T E R M A R S NUMBER DAYS No. Orbits +(days) No. Orbits +(days) 13 93,600 234 = 9x26 234 117 = 13x9 9x260 12 86,400 216 = 9x24 216 108 = 12x9 9x240 11 79,200 198 = 9x22 198 99 = 11x9 9x220 10 72,000 180 = 9x20 180 90 = 10x9 9x200 9 64,800 162 = 9x18 162 81 = 9x9 9x180 8 57,600 144 = 9x16 144 72 = 8x9 9x160 7 50,400 126 = 9x14 126 63 = 7x9 9x140 6 43,200 108 = 9x12 108 54 = 6x9 9x120 5 36,000 90 = 9x10 90 45 = 5x9 9x100 4 28,800 72 = 9x8 72 36 = 4x9 9x 80 3 21,600 54 = 9x6 54 27 = 3x9 9x 60 2 14,400 36 = 9x4 36 18 = 2x9 9x 40 1 7,200 18 = 9x2 18 9 = 1x9 9x 20 ________________________________________________________________________ Note: Bold and underlined counts are principal dimensions of structures at Teotihuacan when measured in Standard Teotihuacan Units (STU) of 1.0594(6) meters. [See Conclusions]

OBSERVATIONS (1) Jupiter is the only planet with all orbital counts and all day-corrections being the same numbers. All counts are functions of the number NINE (Mayan: Bolon.) (1) Mars’ Mayan names were Chac-Ek (Red Star) and also Bolon-Tzacab = 9-Rattler.

.P.35 (c) – Hugh Harleston, Jr. - 2002 .DISK: MAYTRE-04T2A.DOC // HH // 09-VIII-06

Mayan Treasure 2003-Supplement – Section II - Abstract

This report adds part of new findings made in 2002 - 2003 to Mayan Treasure posted

April 12, 2002 on http://geocities.com/harleston13. Item 4 becomes"Section II: 30-page Supplement, following:

(1) Standard Teotihuacan Unit of 1.0594(6) meters defined as Space/Time Unifier. (2) Thirteen hypothetical planetary orbital distances suggested. (3) Planetary synodic orbital times defined by architectural dimensions. (4) Mayan symbol for 13 Katuns--93,600 days defined by double circle-and-cross. (5) First of 36 “Numerical Arks” encompasses Jupiter, Saturn and other counts.

(6) 400 Saturns of 378 days is the basis for chronology matching space / time.

(7) Area and volume of scale model of earth are functions of the multiplier “20.”

World Volume of 907,200 units explains over 30 ancient “sacred numbers.” (8) Universal circle, cube, tetrahedron and sphere defined. Counts for spheres

match STU time measures, space areas, volumes and orbital daycounts. (9) Multipliers of Pi = 3.15 follow sequence 1:20:400:8000 for time and space. 10) Corrections for Mayan Treasure (2002) are shown. 11) Suggestions for research: Xochicalco, Egypt, Palenque, Chichen-Itzá. 12) Synopsis of Mayan Observatory at Tulum; Map of twelve solar events. 13) Tabulations: (a) Five Other Orbital Counts, including comparison of Earth and

Uranus orbits; (b) Ancient Sacred Numbers; (c) 36 Numerical Arks and Universal Sphere Counts; (d) Ark Volumes, Universal Spheres and Pi Multipliers; (e) 27 World Volume Correlations.

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Mayan Treasure: Supplement 2003 -SECTION II [I] CONFIRMATIONS OF TEOTIHUACAN’S MAYAN DESIGN

1) 1974: Defined “Ceremonial Zone”= 756 by 2,268 STU. Published in technical paper “A Mathematical Analysis of Teotihuacan.” Defined Great Quadrangle 378 STU per side, Mayan orbital day-count of Sa- turn. Integral dimensions STU. [cf. Mayan Treasure= M.T.),Figs.2, 6.] 2) 1976: Assignment of “96”(dimension in “Citadel”) as the orbital distance of Earth from the sun allows planets to be defined at 36, 72, 144, 288,…Published: Mysteries of the Mexican Pyramids with Tompkins (Op.Cit, M.T., p.25) as a theoretical model that included three orbital shells between the sun and Mercury at 9, 18 and 28.8. The latter was found as a cloud of dust by NASA probe to Mercury. Other two may be rotating magnetic fields. Total shells defined included hypothetical planet at 7,500 A.U. (7,200 STU) and thirteen other distances, excluding our moon, a 15th orbit of radius 360,000 Kstu, diameter 720,000 Kstu. 3) 1984: Defined multiple orbits of Mercury, Venus, Mars and Saturn as well as the Kahlay Katunob of 13 Katuns, 93,600 days, that appears twice, encoded as “936.” This in turn is the Oxlahkatun of 1,872 times one thousand defined by dimensions north to south in the “Ceremonial" Zone. Published in “The Keystone: A Search for Understanding” (Op. Cit, M.T., p.23) which includes tabulation of Mayan geometrical number codes (Iconography: pp.125-130, Figs. 15,16,17,19,20.) The Pro- logue proposed multiple correlations to confirm Teotihuacan is Mayan. 4) 1996: The Chilam Balam de Chumayel (see M.T., Fig. 1,) defines 13 Katuns, symbolized by double circle-and-cross, as "heaven's measure of time (not space,) and states that to ascend we need “9.” Tabulations of orbits for each of 13 Katuns follow nine-counts and Teotihuacan dimensions that confirm planetary orbitals, including Uranus (369 d.) dimensioned in the “Citadel” (cf. M.T., Fig.6, 1984.) For today's 369.665 days, Mayans could add two days after every three orbits. After 600 solar years of 365.2422 days, they only needed to subtract one more day. This is based on work by H.M.Calderon with the synodic orbits of Saturn and Jupiter. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr.) 2

Mayan Treasure-Supplement 2003, Contd. For Jupiter, they subtracted one day each 8 orbits. This can explain multiples of 8 (8, 16, 24, 32 STU…) After 4,320 solar years, addition of one more day equals today's 398.877 days. For Saturn, one day is added each 11 orbits. The 11-petalled “flower” in the “Citadel” shows this count, that also measures sunspot cycles of 11 years, and factors the geodesic second of arc of 462 STU. After 2,880 solar years one more day reaches our modern 378.095 days. The above solar year times are Mayan design figures. Modern orbits by courtesy of physicist Daniel Flores, Master’s Thesis, Nat’l.Univ.of Mexico, 1992. Tabulation of orbits across 13 Katuns shows multipliers for Venus are 12’s; Mercury, 60’s; Mars, 9’s; for Jupiter 234 orbits are corrected by 234 days, a principal dimension of the Citadel’s patio in STU. The only planet whose day corrections equal the orbital counts in each of the 13 Katuns is Jupiter. [See M.T., p.35, Fig.12—Jupiter and Mars & this Supplement, Fig.13, “Other Orbital Counts per Katun” for Mercury, Venus, Saturn and Uranus & Fig.13A: Earth / Uranus.) Also see M.T. p.24, Harleston, 1996, Thirteen “Heavens” or Mayan Time Counts?] Conventional archaeology speculated that the Dresden Codex shows “priests with fans in their hands.” Calderón identified a Mayan star-finder plate with star-groups as holes on the end of an arm extension. He demonstrated that a 1,184 vague-year cycle of Venus sky positions forms an invisible celestial five-pointed star to mark a cycle of 216,000 days plus 80-days. The full cycle is 432,000 days plus 160 days, 4 times 40 or also twice 80. "40" repeats in Teotihuacan iconography. 5) 2001: A “Numerical Ark” was defined at 57 STU in height; its base is Zone design of 756 by 2,268 STU (Sect.I, Fig.3.) The rectangular box has a volume of 97,732,656 cubic STU, a number enclosing integral counts of Jupiter, Saturn, Jupiter-Saturn conjunctions, the area of an earth model with a radius of 60 STU (defined by the “Citadel,”) whose dynamic circumference in rotation will be “378 STU.” Other factors given by the “Ark” include the lunar orbit at 99.999% of value, three DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr.) and edited 09-August-2006 3

Mayan Treasure-Supplement 2003, Cont’d. prime numbers (7, 17, 29) and 137, the hydrogen fines constant of modern physics, that can be derived from integral values: 37 divided by 27 = 1.37037037037… The factor “37” repeats in many dimensions at Teotihuacan (111, 148, 222, 333; 1,184, 1332…) These data suggest that Mayans understood the concept of multidimensionals, and expressed many forms of measurement with the same number, particularly “378” [cf. Sect. I, pp. 11,18, Fig.3 & also Supplement Sect. III, Fig.22.] 6) 2001: Correlations were identified for 400 Saturns, a function of four sides of the “Citadel”): the number “1,512,” was recognized (1986) in a mural --“Plumed Shells”-- but was not connected with a day-count at that time. 151,200 days are 400 Saturns of 378 days [see Tabulation of 400 Saturns, Sect.I p.16, Fig.5 and drawing of the mural "Plumed Shells," Universo de Teotihuacan, 1987, p.200; also Sect.III, Fig.1, p5 .] 7) 2001: Six Saturn orbits, the north/south parameter of 2,268, multiplied by 20 becomes the area of a spherical earth model: 45,360 square STU. The volume of the world model is 907,200 cubic STU, twenty times the spherical area, which permits identification of more than thirty integral factors in twelve ancient sectors around the globe: “sacred numbers” are multipliers to calculate a Mayan world volume [see this Supplement, Tabulation 2, Fig. 14: Ancient Sacred Numbers.] 8.) 2002: Teotihuacan parameters (1974) defined a universal cube, sides of “6,” volume and area sharing “216,” (a repeating dimension), and a universal tetrahedron of height “12” whose area and volume are 216 times the square root of “3.” The sides of this tetrahedron are the square root of “216,” and its apothem is the square root of “162,” base of the so-called “Moon” pyramid. Both solids can contain an inscribed universal sphere of radius 3 and diameter 6, whose area and volume are 113.4 units, equal to 2,268 divided by 20 (cf. this Section II, Fig.15: Universal Cube, Tetrahedron and Sphere.) Identical numbers for 2,268 (as length in STU or orbital days,) world area of 45,360 and volume of 907,200 can be calculated in terms of the number of universal spheres (radius 6) to occupy volumes given by the heights of "Numerical Arks." DISK: MAYSUP-03T.DOC /HH/ 12-IV-03 (corrected) 4

Mayan Treasure-Section II, 2003, Cont’d. These examples illustrate the probable reason for Mayan “preference” for the number “20,” even though they could handle tens, hundreds, thousands and millions. They show us an integral number system that permits seeing cosmic relationships objectively [cf. this Supplement, Tabulation 3, Fig.16: Thirty-Six Numerical Arks; Tabulation 4, Fig.17: Ark Volumes, Universal Spheres and Pi Multipliers.] 9.) 2003: In February, a ninth correlation: the Mayan bar-and-dot system sequences 1:20:400:8000, applied to multiplications by Pi, when its value is an intentional inexactitude of 63 / 20 = 3.15, even though we feel they also knew the irrational value of 3.1416…, given by triangles in the “Citadel” whose hypotenuses become precision approximations when sides are 222 / 222 / 100xPi x 0.994 and 141 / 282 / 100 Pi x 1.0036. Note that: 141 is 100 x (square root of 2); 282 is twice 141. The distance of earth from the sun is 141 million KSTU. This may not be coincidental. Universal spheres, STU values and Pi multipliers are Mayan values: 36Pi x 20 = 720Pi, x 20 = 14,400Pi x 20 = 288,000 Pi. “720” is a Jupiter orbit multiplier, Grand Avenue separation of the two largest pyramids (= 2,160 / 3); “14,400” is the day-count of two Katuns; “288,000” is the day-count of two Niktekatuns (or Baktuns) of 144,000 days. [see this Section, Tabulation 5: Fig. 18, 27 Correlations of World Volume.] It is significant that two Katuns is one of the symbols of Hunab Ku: a square superscribed on a Universal Circle of radius 60 has an area of 120x120 = 14,400 = two Katuns of 7,200 days. Based on the overall data it is concluded that the pyramidal complex presently entitled “Teotihuacan” was a design incorporating Mayan values, when the architectural dimensions, the paintings and sculptures, combined with the geometrical symbolism for their Supreme Entity known as Hunab Ku, are given impartial consideration in multi-disciplinary analyses that recognize the interconnections as well as the reasons for conserving these values as highly valuable and secret knowledge to be held by specially trained students known as Halach. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corrected) and 09-VIII-2006 5

Mayan Treasure Section III, 2003, Cont’d. The Halach maintained low profiles throughout the decline of Mayan political domination in Mexico after the 13th century A.D., and continued to do so after violent conquest by Europeans during the 16th to 20th centuries. Historically, wise savants have neither been military nor political leaders, individuals that can lead a civilization to long-term success or to disaster. Savants are those who preserve science and multilevel information for future generations. Officially Mayans have been catalogued as a “mesoamerican culture.” Nevertheless, Toynbee listed 19 civilizations, that include the Occident, Far East, Middle East, Egyptian, Greek and Mayan. The essence of the Romans were their public works, roads and laws; of the Medievals their cathedrals, organized ecclesiastics and architecture. The essence of the Renaissance were the universities, books and pictorial art. Mayans offer us all these essences, with the added value of multidimensional concepts. Essences are connections for civilizations, inheritances through at least thirty generations that permit humans to feel loyalty to the remote past that flows in their blood. Mayans, a true civilization, realized that beyond space-time we can find understanding, unveil a spiritual unity that already exists. Hal Kitan Hunak! Truth is beyond forever.

Hugh Harleston, Jr. 21-March-2003

DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr. 09-VIII-06) 6

Mayan Treasure Section II, 2003, Cont’d.

[II] ADDITIONS FOR MAYAN TREASURE OF 21 MARCH 2002

1.) The STU of 1.0594(6)…meters may be coincidentally the twelfth root

of the number 2 or it may have been the polar diameter divided into 12,000,000 physical lengths if expressed in modern French meters. It could also be an inheritance from a previous high technology civilization that measured the precise polar diameter from space and defined it with 12,000,000 units. This can be applied to any rotating sphere in space. Information inherited via brain neurons has not yet been understood. 21st century speculations estimate an average brain at 999,000 million neurons at birth.

2.) The 1983 hypothesis that Teotihuacan is Mayan thus becomes more probable, based on data given in this Supplement.

[III] SUGGESTIONS FOR FUTURE RESEARCHES

1.) XOCHICALCO: the “cave” could have been one of several telescope rooms for skywatching. Declension of the 10-meter inclined tube from the surface down to the underground cave should be checked. “Inclined” means it was not for sunlight on zenital crossing.

PREDICT: Mirrors should be found, or have been hidden since the 1960’s. If used for solstice (June 21st–22nd) determine exact latitude angle at Xochicalco. Was sighting on M31 galaxy=Balam (Pisces), or Pleiades (Tzab / Tauro?) There are other tubes that were plugged by visitors. The guard at the ruins disclosed them to us in the 1960’s. Interested students are invited to gather data for comparisons. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 16-IV-06 & 09-VIII-06) 7

Mayan Treasure-Supplement 2003, Cont´d. 2) EGYPT: wall carvings dated 1,400-1,500 B.C. show number system, with data matching those found in Teotihuacan: 6, 7, 9, 21, 42 (21 sacred pylons, 42 commandments.) The symbol of Shu (wind of light) is similar to the design above and behind the so-called “Tlaloc” figures in the Citadel. In Egypt, Maat is self-remembering. In Mayan, it is Naat. We do not suggest any contacts of Egypt and Mexico, nor of China, India, etc. but that more ancient information was revived and retained by the Mayans for millenia. The translation offered by E.A. Wallis Budge in 1895 contains basic errors for the two most important words: Maat and Neter. The translation of Maat as "right and truth" could have been: “a non-verbal state of divided attention, i.e., silent presence.” The translation of Neter & Neteru as 1. god, gods, or 2.God in some cases, could have been “a multidimensional communication, non-verbal.” These two revisions make the Book of the Dead become a book of esoteric awakening to spiritual realities undreamed of by Budge. “Dead” individuals are those asleep yet alive, eyes open, trapped in the jaws of a crocodile: the time-thought cage. The subtitle of the Egyptian Book of the Dead is “the Great Awakening.” 3.) ACOUSTICS: In 1986, at Teotihuacan Norma Aleandro visited a Plaza named the “Moon.” She showed me the acoustic effect of hand-clapping while crossing the Plaza from West to East. As she passed the 48-step staircase the echoes changed to the distinct chirp of a bird. The claps were sounded from 20 to 25 meters south of the pyramid’s 48-step third “adosado” (add-on.)

13 years later, a report in Science News (Vol.155,No.3,Jan.1999,p.44-5) described recordings made by D.Lubman at Chichen-Itza to confirm the chirp from the 91-step staircase was a sound emitted by the quetzal bird. He proposed there could be other pyramids that show the same acoustic wave, and if so the design was deliberately laid out by Mayans. This was soundly denounced by “authorities,” who alleged that “the stair had to be a copy…accidentally made that way.” It was only a hap-penstance, and they sarcastically scorned Lubman´s theories. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 16-IV-06) 8

Mayan Treasure-Supplement 2003, Cont’d. By comparing staircases on the “Moon” pyramid (Teotihuacan,) the Temple of the Inscriptions (Palenque) and the “Castle”/Kukulkan (Chichen-Itzá) it was found that the angles are almost identical. The number of steps at each location differs, but this only changes the pitch of the bird chirp. Both Teotihuacan and Chichen-Itzá have 45-degree staircases. Teotihuacan measures 16 STU in height, with 48 steps, each being one-third STU. Chichen’s stair measures 22-3/4 STU high, with 91 steps, each step height one-quarter STU. The four sides sum 364 steps, the Mayan stellar year shown by the Paris Codex. The stair at Palenque is 18 STU in sixty steps, each 0.3 STU (31.78 cms.) high, at an angle of 41 degrees. At the proper distance from the stair we should hear the quetzal chirp. French ornithologist Gilonne confirmed that the call of the Quetzal is “(Ah)-Coz”: “Great Falcon.” The Falcon on descending from the sky calls, “Uak-Kaan”: Six-Sky, or Sky Speaks. The Falcon was the Mayan symbol of intellectual speed. The quetzal is considered to be a “messenger of the heavens.” It could be useful to record anew Palenque and Teotihuacan to compare data with Chichen-Itzá. We agree with Lubman, on the basis of Mayan science at Teotihuacan, that the designs were deliberately configured for these acoustic characteristics. 3.) TULUM: The material that follows was adapted from the Spanish version by the author [Harleston, Jr., Hugh, New Mayan Zodiac, MSS, p.10-15, registered ©-USA, 16/XI/1992, Mexico City, six pages with map of twelve solar events at Tulum: (2) winter sunrises and sunsets; (2) summer sunrises and sunsets; (4) zenital sunrises and sunsets; (4) equinoctial sunrises and sunsets (see map, Figure 19, following.)

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Mayan Treasure, Section II, cont’d.

MAYAN OBSERVATORY AT TULUM Tulum is the only Mayan pyramid overlooking the ocean. Information from local guides has become obsolete unless Mayan stellar constellations and solar positions are taken into account. By day we follow the sun’s position on the horizon as it appears and disappears. By night, we can follow the same lines, because the earth, moon and planets are aligned along a rotating wheel called the zodiacal circle. Points of light were given Greek names. An imaginary circle in the sky was divided by Chaldeans into “signs that repeat.” But they left many vacant holes. Names were inherited by Greeks, who then assigned their own, later adopted by Arabians, who sent the system back to Europe when they taught the Spaniards Arabian “new” science. Twelve repeating “modern” signs do not fit the stars as well, nor allow the precision given to them by Mayans, who used thirteen. If some winter evening you should observe the sky you may see a star group that Greeks named “Orion, the Hunter.” In its mid-section a red blur marks a great nebula, catalogued “M42” by modern astronomy. Mayans selected a more realistic name. They called the group Am, the black-widow spider, that carries a red-spot on its belly: “M42.” The red nebula does not form part of the thirteen signs of the Mayan Zodiac because it lies outside our earth’s orbital path. At Tulum guides may tell you that “archaeologists gave them a set of conclusions,” meaning speculative theories, with respect to the small “city.” But was it really a “city?” One conclusion states that buildings look as if they had been planned and erected for miniature beings. The scale is remarkable after one sees towering pyramids and palaces at Ux- mal and Chichen-Itzá. Those cubbyhole rooms appeared to have no plausible reason for being. But such conclusions do not take into account using a small darkroom MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 16-IV-2006) 10

Mayan Treasure Section II, Cont’d. with a ceiling tube that allowed light to enter a “camara-oscura” and focus the stars on the floor for an observer to study. This is exactly what was done at Tetitla near the Great Pyramid of Teotihuacan, where archaeologist Jorge Angulo proved it was used for seeing the Pleiades on the floor, on which precolumbian astronomers traced the moving pattern with red paint to mark consecutive positions. Tour guides at Tulum do not mention that when archaeologists “re-stored” the ruins, they found strange tubular holes at angles in the roofs of some of the small rooms. They proceeded to plug them, commenting that these were “sloppy drain systems” and “poorly designed and engineered edifices,” not up to the usual standards expected of Mayan architects. Roofs were made with beams and mortar instead of corbelled stone, and were said to have been built, at best, with extremely careless workmanship. With no knowledge of Mayan thinkers, names were assigned to “The Castle,” “The Oratories,” “The Great Palace,” “The Temple of the Frescos,” or the “Temple of a Descending ‘God’.” The concept “gods” was unknown to precolumbians, who were forced to accept European terminology or suffer the consequences. 16th century Spanish invaders were dedicated to pillage, and to the establishment of their reign of terror known as the “Holy Inquisition.” Any contradiction by the now conquered slaves was corrected by burning them at the stake. There is no record of a Spanish astronomer sitting down with a Mayan counterpart to calculate a solar eclipse or a planetary orbital count. Aztecs remembered how to do this, confirmed by sculpted stones at Mexico City bearing Mayan constellation symbols. Very little importance was given by archaeologists to precision measurements until after the 1970’s. Many texts of that period make erroneous statements and deductions, as well as distorted images about precolumbian “feathered idiots” with rudimentary mathematical capabilities. Fig.19 shows coor- denates for Latitude and Longitude of Tulum, added because archaeological maps did not usually include them, nor consider them necessary. DISK: MAYTSUP-03T.DOC / HH / 12-IV-03 (reedited 09-VIII-2006) 11

Mayan Treasure Section II, Cont’d. Changes began to be made in the 1980’s, but archaeologists continued to write about “diving gods.” Mayan names for Mercury and Venus are still confused. Xux-Ek (Wasp Star) is Mercury. Noh-Ek (Great Star,) Zak-Ek (White Star) and X’nuk-Ek (Receiving Star) are all applied to Venus. Both planets were documented by Mayans in the folding book called the Dresden Codex, Descriptions tell us that there were fortifications around Tulum, and walls that originally had murals were “protections” added later (8th to 10th centuries A.D.) There is evidence that Tulum dates to at least the 2nd to 3rd centuries B.C., and could even be older. We are not told that the narrow passageway that welcomes every visitor from its west side is the spot where the last ray of light on the equinox beams across a tower of “Frescos” to arrive at a pyramid now called “The Castle.” In 1989 new information allowed us to recognize Tulum through alignments and probable purposes of the “dwarf” rooms, “palaces,” and towers, with which Mayan astronomers registered important solar and stellar events on the horizon: two solstices (June and December,) two zenital crossings (May and July,) and two equinoxes (March and September) during which after dark they observed stars rising out of the Caribbean on astronomical East (see Fig.19.) “Taurus” and “Aries” occupy part of the Mayan constellation of Kan, the rattlesnake, whose rattler Tzab is our Greek Pleiades. Tzab was used by Mayans to clock orbital times of the planets around the sun, the modern “sidereal.” The time for a planet to reach the same sky spot is called its “synodic” orbit. On closer inspection, figures called “diving ‘gods’ “ can be recognized as Mercury, Venus and Mars descending. A “diver” can still be seen in the “Palace” (Structure 25.) A pair of entwined serpents ending in two rattles can indicate two crossings that probably identified Mercury. Its orbit in 200 B.C. was 117 days. By the tenth century it had accelerated to 116 days, registered by Mayans who established three different counts in the Dresden Codex. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 16-IV-06) 12

Mayan Treasure Section II, Cont’d. Wasp-Star Xux-Ek would eventually crash into the sun. Today’s count is 115.8 days. Mayan data allows astronomers to better estimate the destiny of this second sky traveler, also called Falcon-Star (Coz-Ek.) The “Palace” at Tulum (Structures 21 & 25) has a patio platform that receives the last ray of sunlight on the days of Zenital Crossing, before it salutes the “Castle.” Atop the “Temple of Frescos” a tower catches the morning star on both equinoxes as Venus rises behind a pyramid that Mayans named Naa-K’in, House of the Day. Northern Structure 25 welcomes sunrise on days of zenital crossing (May, July) seen across a tower on the edge of an oceanside promontory, 110 meters (about a block) northeast of the “Castle” centerline. The flash still arrives today, after crossing Cozumel (Kusaam-Lum’il, the Swallows’ Homeland) while flying over spots occupied by ancient observatories, now in ruins on the small island. In boats between Cozumel and Tulum, Mayans could see both. Visibility at sea in clear weather is fourteen kilometers (9 miles), so that if they stood up, they could use mirrors to reflect sunlight and extend their communications up to fifty kilometers (30 miles.) We believe the positions and uses of Tulum’s structures had Mayan names. One of them could have been Mix-Ba’al-Holeistak, meaning “zero-reference-point”, a very sophisticated concept. “Dwarf” rooms were darkrooms, entered through light-shielded laby- rinths on hands and knees. Inside, the ceiling would have a single perforation at the proper angle to allow a magnified stellar object to be focused into a concave mirror, the second stage. A second concave mirror provided a third stage of magnification, that would last some 30 to 36 seconds for observation and sketching. The Mayan scientist could document characteristics such as the nebulosity and stars we now call “Seven Sisters.” However, without binoculars we only see six with the naked eye, for a half-year of visibility. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 09-VIII-2006) 13

Mayan Treasure Section II, Cont’d. Unique figures and spiral paths drawn on the floor were identified in 1984 at Teotihuacan by archaeologist Jorge Angulo. We believe that stellar observers at Tulum were in contact with their colleagues at Teotihuacan to compare similar data, because Teotihuacan was the source of the advanced science being used by Mayans. Concave Mayan magnifying mirrors were reported by John Carlson in 1976 at Paris. He described 23 artefacts, 19 spherical and four parabolic, which as any mirror-maker knows, requires sophisticated technology to produce. By combining long and short focal length mirrors, a telescope is created. I built one. No eye-piece was required: a third mirror supplies final magnification. Mayans could use the ceiling tube, plus two mirrors (Fig.20) and see the M31 galaxy as a ball of light surrounded by three luminous rings, similar to Saturn. I believe they observed Saturn, along with the moons of Jupiter. The information would have been guarded by advanced students, who were sworn to secrecy (see Mayan Treasure, Special Photos, Item 7-f and Fig.20, pp.28.) I propose that Tulum was an oceanside starwatchers’ base, populated by relatively few scientists and assistants, with infrastructure only as required for food and materials. For this reason, the population was a handful of some few hundreds, as reported. They were not military chiefs. They were researchers, who put up walls to keep ignorant bullies on the outside. Unlimited vision over the ocean allowed measurements impossible in the highlands, where the blocked horizon makes corrections necessary. These would have been required at Teotihuacan, Palenque, Monte Alban, Xochicalco and other mountainous locations. The Site Map of Tulum suggests that main buildings were placed for registering solar, lunar and stellar events between 600 B.C. and 1,300 A.D. The governing constellation at vernal equinox in 200 B.C. was Aries, Pek, a white and black-spotted dog for Mayans. By 970 A.D. the springtime sun had moved into the edge of the next DISK: MAYSUP-03T.DOC / HH / 12 –IV- 03 (reedited 16-IV-06) 14

Mayan Treasure Section II, Cont’d. “winning constellation” of Balam, the Jaguar (Pisces.) This explains why at Cacaxtla (State of Tlaxcala) there are stunning paintings of Jaguars defeating “Falcons” (Coz = Aquarius) opponents of the future. As we enter the 21st century, the vernal equinox sun is centered in the belly-button of Balam, the Mayan jaguar; i.e., Pisces. The present Mayan Long Count will end on January 22, 2013, based on Calderon’s Chronological Constant. The MGT “constant” does not fit the zodiac. Every 101 Katuns or 1,991 solar years of 365.2422 days, the sun enters a new Mayan constellation. We will not graze the edge of Aquarius – the Falcon Coz – until 2,864 A.D. We will be centered in Aquarius about 3,960 A.D., with the sun atop its brightest star, alpha-Aquarius. There is a long way to go before we are really in the “Age of Aquarius.” We join our Mayan friends in believing that there will be an Age of the Solar Messenger, fastest bird on earth, that dives like a streamlined jet aircraft at 320 kilometers (199 miles) per hour, symbol of superior logic and highly advanced thinking. Mayan Halach have guided us towards a new future science, born of sure knowledge and acceptance of the importance of integral multidimensional concepts.

© - Hugh Harleston, Jr. – 2006

[Edited excerpts translated from Spanish by the author]

DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 09-VIII-06) 15

Tabulation 1: FIGURE 13 OTHER ORBITAL COUNTS PER KATUN OF 7,200 DAYS

(19 Solar Years plus one Tzolkin of 260 Days)

KATUN NO. 13 12 11 10 9 8 7 6 5 4 3 2 1

TOTAL DAYS 93,600 86,400 79,200 72,000 64,800 57,600 50,400 43,200 36,000 28,800 21,600 14,400 7,200

MERCURY ORB+DAYS 780 + 9x260 720 + 9x240 660 + 9x220 600 + 9x200 540 + 9x180 480 + 9x160 420 + 9x140 360 + 9x120 300 + 9x100 240 + 9x 80 180 + 9x 60 120 + 9x 40 60 + 9x 20

V E N U S ORB+DAYS 156 + 12x208 144 + 12x192 132 + 12x176 120 + 12x160 108 + 12x144 96 + 12x128 84 + 12x112 72 + 12x 96 60 + 12x 80 48 + 12x 64 36 + 12x 48 24 + 12x 32 12 + 12x 16

S A T U R N ORB+DAYS 247 + 234

228 + 216

209 + 198

190 + 180

171 + 162

152 + 144

133 + 126

114 + 108

95 + 90 76 + 72 57 + 54 38 + 36 19 + 18

U R A N U S ORB+DAYS 253 + 9x27 234 + 9x 6 214 + 9x26 195 + 9x 5 175 + 9x25 156 + 9x 4 136 + 9x24 117 + 9x 3

97 + 9x23 78 + 9x 2 58 + 9x22 39 + 9x 1 19 + 9x21

MAYAN ORBIT: 117 DAYS 584 DAYS 378 DAYS 369 DAYS NOTES: 1.) Underlined counts are dimensions of Teotihuacan architecture in STU of 1.0594 meters. Except Venus the other planets follow multiples of "9." (Mayan Bolon, Hunab Ku's number.) However, manyVenus orbitals and day adders are multiples of “9.” 2.) Uranus at 369 Mayan days follows the system with intercalated functions of 9x1,2,3,4,5,6 alternating with 9x21,22,23,24,25,26,27. Additions alternate from 19’s to 20’s. 369 is dimensioned in the “Citadel”(1984.)

3.) All lag times of Jupiter after Saturn (21-day spacings) are given as dimensions in the “Citadel,” that we propose was the Quadrangle of Saturn.

DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr.) 16

Tabulation 1-A: FIGURE 13-A ORBITAL COUNT COMPARISON: EARTH / URANUS

KATUN NUMBER 13 12 11 10 9 8 7 6 5 4 3 2 1

TOTAL DAYS 93,600 86,400 79,200 72,000 64,800 57,600 50,400 43,200 36,000 28,800 21,600 14,400 7,200

E A R T H ORBITS + _DAYS_ 256 + 160 236 + 260* *Tzolkin 216 + 360 197 + 95 177 + 195 157 + 295 138 + 30 118 + 130 98 + 230 78 + 330 59 + 65 39 + 165 19 + 265

U R A N U S ORBITS + _DAYS_ 253 + 243 234 + 54 214 + 234 195 + 45 175 + 225 156 + 36 136 + 216 117 + 27 97 + 207 78 + 18 58 + 198 39 + 9 19 + 189

MAYAN ORBIT: 365 DAYS 369 DAYS

NOTES: (1) Underlined counts are dimensioned in Teotihuacan. (a) red numbers are in the Citadel; (b) blue numbers are on the Grand Avenue and some also in the "Citadel."(c) the Mayan Tzolkin is shown in violet. (continued on p.18) © - Hugh Harleston, Jr. - 2003

DISK: MAYSUP-03T.DOC / HH / 21-III-03 (corr.) 17

FIGURE 13B OBSERVATIONS: EARTH / URANUS / SATURN

1.) Ten dimensions in the Saturn Quadrangle("Citadel") are Earth or-

bital counts and day corrections in Haab of 365 days (vague year.) 2.) Sixteen dimensions are counts and day corrections for Uranus plus

its 369-day synodic, dimensioned east / west [cf.M.T.Fig.6, 1984.] 3.) Nine Katun counts are multiples of dimensions, either in the Saturn

Quadrangle or on the Grand Avenue (the "Solar Way.") 4.) Earth orbital counts vary from 19 to 20, in the sequence:

19 /+20 / +20; +19 /+20 / +20 / + 20; + 19 / +20 / +20; + 19 / +20 / +20. These compare with Uranus' sequence: 19 /+20 / +19 / +20 /+19 / +20 / + 19 + 20 / +19 / +20 + 19 / +20 / +19.

5.) Earth's orbital multipliers: (6) 13's; (5) 59's; (3) 11's; (2) 23's; (1) 53; (1) 16 squared = 256; (1) 177, for eclipses; primes 157, 197.

6.) Day adders 4, 5, 6, 7 total "720" (the Jupiter orbital count.) 7.) Day adders 8, 9, 10 total "585" (Venus + one day) 8.) Day adders 11, 12, 13 total "780" (Mars' synodic)

9,) Saturn day adders duplicate Jupiter (cf. M.T., Fig.12, Tabulation.) 10) Uranus orbitals include 234 (Jupiter,) 156 (Venus,) 117 (Mercury,) 78 (Mars/10,) 19 (Saturn); day-counts include 189 (Saturn/2,) 216 (Earth,) 234 (Jupiter & Saturn,) 225 (Venus's sidereal,) 54 (Jupiter / Saturn triple conjunction correction factor) and other significant counts. In addition, the number "39" represents Jupiter-Saturn conjunctions of 7,182 days, which, added to the zeroth reference, gave the Mayans the count of 40 triangles (see Kepler) that mark the travel of Jupiter through one-third of the Zodiac, equal to 720 Jupiter orbits of 399 days: 287,280 earth revolutions. Full travel of Jupiter is 861,640 days, the Universal Spheres in V-31, Fig.16B. DISK: MAYSUP-03T.DOC / HH / 21-III-03 (corr.) 18

Tabulation 2: FIGURE 14

ANCIENT SACRED NUMBERS FACTORS OF THE WORLD VOLUME MODEL : 907,200

LOCATION SACRED NUMBER EGYPT (GREAT PYRAMID) Elev. Floor “Queen’s” Chamber Elev. Floor “King’s” Chamber CHINA (URUMCHI PYRAMID) Base (1,500 feet) Height (1,000 feet) SAUDI ARABIA (MECCA) Holy Black Cube (60 x 60 x 60) GREECE Plato’s “Great Year” (12 x 2,160) Plato’s “Favorite” Number Parthenon (Pythagorean Diatonic Units) ENGLAND Nautical Miles Great Circle Stonehenge, Circle Time, Seconds / Day, Newton INDIA “Life” of Brahma (= 144x2,160)* Manvantara Indostana* *divided by 10,000 “years”

21 STU x 43,200 42 STU x 21,600

432 STU x 2,100

288 STU x 3,150

216,000 x 42/10

25,920 x 35 5,040 x 180 1,080 x 840

288 x 3,150

21,600 x 42 108 STU x 8,400

86,400 x 105/10

311,040 x 35/12 4,320,000 x 21/100

© - Hugh Harleston, Jr. - 2003

OTHER FACTORS ARE FOUND AT: BOLIVIA (TIWANAKU–144, 162, 216, 378); BABYLONIA – 120; 86,400; 432,000; TIBET - 108; HEBREW KABBALA – 216, 288 AND OTHERS; SUMERIA’S NI- NEVEH CONSTANT IS 2,268; THE GREEK GEMATRIA – 192, 600, 1008 AND SEVERAL: 2,268 (ALSO AS “MARRIAGE OF A SQUARED CIRCLE.”) THE N / S DESIGN OF TEOTIHUACAN IS 2,268 STU, SIX SATURN ORBITS. 400 x 2,268 = WORLD MODEL SPHERICALVOLUME, cu.STU

© - Hugh Harleston, Jr. - 2003 DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (reedited 09-VIII-2006) 19

UNIVERSAL CUBE, TETRAHEDRON AND SPHERE

MAYSUP-03T.DOC / HH / 21-III-03 (corr.) 20

FIG.15

Tabulation 3: FIGURE 16A THIRTY-SIX NUMERICAL ARKS [Base Area = B.A. = 756x756]

VOL.# V-1

V-2

V-3 V-4 V-5 V-6 V-7 V-8 V-9 V-10 V-11 V-12 V-13 V-14 V-15 V-16 V-17 V-18

HSTU 1

2 3

4

5

6

7

8

9

10

11

12

13

14

15

16

18

21

CUBIC STU 1,714,608

3,429,216

5,143,824

6,858,432

8,573,040

10,287,648

12,002,256

13,716,864

15,431,472

17,146,080

18,860,688

20,575,296

22,289,904

24,004,512

25,719,120

27,433,728

30,862,944

36,006,768

B.A.MULTIPLES 3

6

9

12

15

18

21

24

27

30

33

36

39

42

45

48

54

63

UNIVERSAL SPHERES 15,120

30,240

45,360

60,480

75,600

90,720

105,840

120,960

136,080

151,200

166,320

181,440

196,560

211,680

226,800

241,920

272,160

317,520

(cf. Notes Fig16C)

(sup-03) PAGE 21 © - Hugh Harleston, Jr. – 2003

Tabulation 3, continued: FIGURE 16B THIRTY-SIX NUMERICAL ARKS [Base Area = 756 x 756]

VOL.# V-19 V-20 V-21 V-22 V-23 V-24 V-25 V-26 V-27 V-28

V-29 V-30 V-31 V-32 V-33 V-34 V-35 V-36

HSTU 24

27

29

32

33

37

39

42

44

45

51

53

57

59

60

63

72

81

CUBIC STU 41,150,592 46,294,416

49,723,632

54,867,456

56,582,064

63,440,496

66,869,712

72,013,536

75,442,752

77,157,360

87,445,008

90,874,224

97,732,656

101,161,872

102,876,480

108,020,304

123,451,776

138,883,248

B.A.MULTIPLES 72

81

87

96

99

111

117

126

132

135

153

159

171

177

180

189

216

243

UNIVERSAL SPHERES 362,880

408,240

438,480

483,840

498,960

559,440

589,680

635,040

665,280

680,400

771,120

801,260

861,840

892,080

907,200

952,560

1,088,640

1,224,720

(cf.NotesFig16C) (sup.03) PAGE 22 © -Hugh Harleston, Jr.-2003

Tabulation 3, NOTES

(1) HSTU = height in STU of each “Numerical Ark,” marked by Teotihuacan struc-

tures (1974) that remain unchanged as published. Differentials are above or below a zero elevation of 2,288.44 m. = 2,160 STU above mean sea level, confirmed by official contour maps (cf. M.T. Bibliography, Millon et al, The Teotihuacan Map, U.of Texas Press, 1973.)

(2) Zero reference elevation is the floor of the lava “cave” under the Great Pyramid whose center has not yet been explored. However, it can be stated that the dimensions of the stonework in the tunnel are modules of 19 STU (38, 95, 133) to confirm a link to the hypothesis that the pyramid was dedicated to Jupiter, the only planet requiring those numbers.

(3) Volume V-31 is a differential of 57 STU from the unfinished top of the “Sun” pyramid at 2,223 STU = 2,355 m., to the external apparent base at 2,166 STU = 2,294.8 m., confirmed by official maps, rechecked by Government Survey geo- decists and our Uac-Kan Research group in 1974 with precision surveying theodolites. Excavations in the 1990’s revealed a concrete floor around the pyramid at the 2,166 STU level, reconfirming the differential of 57 STU.

(4) The level in the patio of the “Citadel” is 2,151 STU = 2,278.9 m., so that the differential to the Great Pyramid summit becomes 72 STU (without the missing top building, that Mayan logic dictates to have been 9 STU, completing the design at 9x9=81 STU, elevation 2,232 STU = 2,364.7 m.)

(5) The elevation of 2,223, summit of the sixth stage, is 9x13x19: the Mercury orbit of 117 times the Jupiter multiplier 19. A 9 STU building would bring the final elevation to 31x72 = 9x8x31, and the differential to 81 STU.

(6) The B.A.MULTIPLES are the Base Area Modules of 756 x 756 STU = 378x1,512 = (2x378) squared. Each B.A.M. is also an STU dimension that multiplied by 5,040, Plato’s Favorite Number ( = 2,160 + 2,880) will produce the number of Universal Spheres “contained” in each Ark of height = HSTU. These provide significant confirmations of the sophistication of the Mayan design: (a) V-1: 15,120 spheres (= 3x5,040) is the number given by the West columns of the Falcon Patio (now named “Quetzalpapalotl.”) (b) V-3: 45,360 spheres = 9x5,040, the spherical area of the world model of radius 60. (c) V-5: shows 15x5,040 = 75,600 spheres. (d) V-6: multiplier 18 x 5,040 = 90,720, a correlate of the world volume. (e) V-9: 27x5,040 = 136,080, ten times the number of Jupiter/Saturn conjunctions in the Ark volume of V-31: (97,732,656 / 7,182 = 13,608 = 216 x 63. (f) V-10: spheres are 151,200, the day-count for 400 Saturns. (g) V-12: spheres number 181,440 = one-fifth the world volume of 907,200. (h): V-15: spheres are 226,800, or 600 orbits of Saturn. (i) V-31: note multiplier is “171” = 9x19, a Jupiter orbital count that gives 861,840 spheres, the day-count for 2,160 orbits of Jupiter to circle the complete zodiac in 2,359.64 solar years or 2,361.2 vague years of 365 earth revolutions.


Tabulation 3, continued: FIGURE 16C-2 SECTION II -- CONCLUSIONS:

(7) Data accumulated and analyzed provide these six conclusions:

(a) Mayan astronomy as well as their mathematical and precision engineering capabilities were more sophisticated than previously estimated.

(b) Mayan descriptive geometry is based on universal constants and

abstract numbers, independent of local space. The spheres are predicated on dynamic rotation since they follow objective values including the use of an intentional inexactitude for Pi.

(c) Mayan architecture obeys strict mathematical rules.

(d) Accurate elevations above mean sea level were maintained,

even though Mayan instruments are as yet unknown. Other locations outside Teotihuacan that evidence this knowledge; e.g., Cerro Cematzin in Tepoztlan (1,800 STU elevation,) Malinalco (1,800 STU elevation,) Chiconautla, Cerro Gordo, Malinalli, Maravillas, Patlachique.

(e) Multidimensional concepts of unified space-time is communicated with simplified and understandable symbolic methodology.

(f) We know no other earth location to date that has evidenced the

statistical reliability and objectivity to equal or better Mayan thinkers. Interlocked correlations of STU measures, areas, volumes, day-counts, planetary orbital juxtaposition values, ce-lestial event designations, universal geometrics and knowledge of factors beyond the capabilities of today’s scientists leaves an impartial observer with a genuine feeling of astonishment and ad-miration as full awareness of the intricacy of the design becomes visible. My optimistic viewpoint is the result of seeing that there are vast possibilities dawning for the next generations of seekers of objective understanding on the pathway we must follow as living beings on this small spaceship called earth. Researchers are invited to analyze these findings and seek others.

DISK: MAYSUP-03T.DOC / HH / (corr. 12-IV-03 & 10-VIII-2006) 24

Tabulation 4: FIG.17 ARK VOLUMES, UNIVERSAL SPHERES & Pi MULTIPLIERS

VOL. NO.

H STU

CUBIC STU

UNIVERSAL SPHERES*

MULTIPLIERS OF Pi = 3.15

V-1

V-3

V-10

V-33

V-34

V-35

1

3

10

60

63

72

1,714,608

5,143,824

17,146,080

102,876,480

108,020,304*

123,451,776

© -- Hugh

15,120*

45,360*

151,200**

907,200*

49 x 19,440**

378 x 2880

Harleston, Jr.

108 x 5,040

378 x 4,320

252 x 21,600

77,760* x 420

77,760* x 21 x 21

720 x 144 x 378

2003

NOTES: (1) 36 heights (H) are marked by Teotihuacan structures: pyramids, Grand Avenue, base levels, etc., established in 1974 and unchanged. (2) Ark Base = (756x756)x3 = 1,512x378x3 = 4,536x378 = 756x2,268. (3) Volumes are Zone Base x Height H of Ark in STU = cubic STU. (4) Pi = 63 / 20 = (7 x 9) / (4 x 5) = 3.15, intentionally inexact. (5) Zero Reference Point (Mix Ba’al Holeistak) is 2,160 STU above mean sea level =2,288.4 meters, confirmed by official maps of the Zone. (6) All volumes are divisible by *15,120 and 5,040 universal spheres. “Plato’s number” 5,040 x 113.4 = 756 x 756, four square “Citadels.” (7) *Two cubes of (378 x 378 x 378) = V-34 ( = two cubic “Citadels.”) (8) **Area, each face of the Great Pyramid of Egypt=**19,440 sq.STU. Total area = *77,760…year-count of 48,600 orbits of Venus of 584 days. (9) *Area of earth model given by universal spheres. *Area & volume of spheres = 113.4 = (378 x 3) / 2 x 5 = 567 / 5 = 2,268 / 20 = 36 Pi. (10) **Time count of 400 Saturns is 151,200 days, given by spheres. (11) *Volume of Earth model given by universal spheres. DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr.) 25

Tabulation 5 -- FIGURE 18

27 CORRELATIONS of MAYAN WORLD VOLUME: 907,200 MULTIPLIERS PRODUCT MEASURING (378 / 3) X 7,200 45,360 X (20) 2,520 X (360) 252 / 2 = (126) 2,400 X (378) 6 X (151,200) 6 X 144,000 + 6 x 7,200

907,200 907,200 907,200 907,200 907,200 907,200 907,200

K’in = Days Uinals = 20 Days Tuns = 360 Days Katuns = 7,200 Days (Saturn Orbits) (400 Saturns) Long Count 6.6.0.0.0

[ 6.6.0.0.0 – 12 AHAU, 18 MOL = July 12, 630 B.C.—907,200 days after September 13, 3,114 B.C. (Calderón Chronological Constant: 584,314) ]

TWENTY STU DIMENSIONS AT TEOTIHUACAN [Part of the 61different dimensional factors of 907,200]

DIMENSION X (FACTOR) PRODUCT REFERENCE 6 (151,200)

18 (50,400) 21 (43,200) 42 (21,600)

*54 (16,800) 63 (14,400)

*108 (8,400) 144 (6,300)

*162 (5,600) *216 (4,200) *270 (3,360) *324 (2,800)

360 (2,520) *378 (2,400) *432 (2,100) *540 (1,680) *648 (1,400) 720 (1,260) [756] (1,200) [2,268] (400)

907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200 907,200

(21 Katuns) ( 7 Katuns) ( 6 Katuns) ( 3 Katuns) ( 700 X 24) ( 2 Katuns) ( 200 X 42 ) (“Moon,” E/W) (“Moon,” N/S) ( Repeats) (“Citadel”) (Grand Avenue) (“Citadel”) (“Citadel”) (Grand Avenue) ( 70 X 24 ) ( 3 X 216) (Grand Avenue) [E/W Design] [N / S Design]

[*10 of 13 Triple Jupiter/Saturn Correctors, Dresden Codex, p.71,72,73] © - Hugh Harleston, Jr. – 2003


DISK: MAYSUP-03T.DOC / HH / 12-IV-03 (corr. INSERT) p.27

FIG.20. HYPOTHETICAL MAYAN TELESCOPE P.28

Mayan Treasure Supplement 2004 -- SECTION III:_Abstract

1.) A series of 5 numbers -- 288, 48, 216, 96, 36 -- is given by key STU dimensions in

four different sectors of Teotihuacan [see Maps, pp.10, 11.]

2.) A 1926 study of the Greek Parthenon, in Pythagorean Diatonic Units, presents 5 key numbers--288, 48, 216, 96, 36 [Part 6,p.20-23;Fig.8-A;Tabulation 8.]

3.) Teotihuacan's architecture is based on factorials 1! through 16! [Part 1, p.2 - 4] Squares, cubes and decimals appear as dimensions [Part 2, p.5 - 6.]

4.) Mayans knew decimals and could have known, via factorials, the natural logarithmic base "e." By raising e to the exponent "twelfth root of the number 2" a unique series is obtained: 2.88 48 216 96 36 [Part 3, p.7 - 9.]

5.) Mayan data interlocks when organized as a multidimensional matrix. With an

intentionally inexact, rational Pi, Mayan STU's and a rotating sphere, integral relationships are defined for lines, degrees, area & volume of a scale model of earth, plus time: days, synodic counts and repeating events [Part 4, p.12 - 14.]

6.) Five ancient systems -- Hebrew Qabala, Greek Gematria, Egyptian hieroglyphs,

Hindu and Chinese astronomy -- identified many of the same numbers as significant. These have not been found to link Jupiter, Saturn and other planetary reappearances as do Mayan parameters that unify space/time in Teotihuacan's architecture, a time-model of the solar system [Part 5, p.15 - 19.]

7.) The Qabalist Sepher Yetsira confirms ancient Hebrews knew the first seven fac-

torials [Part 5, p.17.] Qabalists view the number "6" as a key to creation [p.16.] Mayans held "6" to be of primary importance for multidimensionals [p.14.] The number “6” would be the sixth number in Mayan and Greek structures.

8.) Mayan iconography communicates counts with geometric codes [pp.25-26.] 9.) Future research is suggested [p.24-27A.] Additional bibliography is given [p.29.] Additional conclusions are presented [p.28.]

1

MAYAN TREASURE SUPPLEMENT 2004 -- SECTION III PART 1: FACTORIALS

Mathematicians define a "factorial" as the product of all the consecutive positive in- tegers from 1 to any given number "n!" For example, 3! is (1)x(2)x(3), equal to 6, and 6! becomes (1)x(2)x(3)x(4)x(5)x(6), equal to 720. In the early 1980's the first six factorials (1,2,6,24,120 and 720) were recognized as exhibited by Teotihuacan's dimensions in Standard Teotihuacan Units (STU) of 1.0594(6) meters. The spacing on the Grand Avenue of the two largest pyramids marks 720 STU, underlining its importance. “720” counts reappearances of the planet Jupiter (399 days) required for it to travel around one-third of the Zodiac's circle: 287,280 days, or 786-1/2 solar years. To travel the complete Zodiac takes 2,359-2/3 solar years of 365.2422 days. That is 2,160 synodic orbits of Jupiter. 2,160 STU is the elevation above mean sea level of the "secret lava tunnel" under the No.1 pyramid (now said to be the "Sun.") This fact was published in 1984 (see Bibliography, "The Keystone.") Mathematic factorials lay dormant until 2003, when those beyond 6! were examined. Correlations appearing under Tabulation I, p.4 below, suggest that the Mayan calendar system and the Teotihuacan design is based on factorials up to at least 16! Factorial 16! has 14 digits: 20,922,789,890,000. In Tabulation I numbers in red are measurements that confirm that basic Ceremonial Zone dimensions display Mayan knowledge of space and time, planetary and solar system relationships. Some of the latter are: Mayan Count Days in the Cycle Factors of the Count Uinal 20 2 x 2 x 5 Tun 360 (3) x (2x3x4x5) Katun 7,200 (2x5) x (2x3x4x5x6) Baktun 144,000 (2x2x2x5x5)x(2x3x4x5x6) Oxlahkatun 1,872,000 (13)x(2x2x2x5x5)x(2x3x4x5x6) 73 Oxlahkatuns=Era 136,656,000 ~ divided by 365 = 374,400 Haab =52x7200

To explain the appearance of the number "216,000" we may study Venus. The Mayans observed the planet's position in the celestial tapestry, and knew that Venus moves from morning to evening star and back over a time period seen from earth (the synodic orbit) of 584 days. It does not return to the same sky location, but appears at a different location, downward and to the left. Five orbits moves it to new spots that describe an invisible 5-pointed star (a pentacle) whose zero origin every 2,920 days is not precisely the same as its beginning reference.

2

SUPPLEMENT 2004 - PART I: FACTORIALS This difference is 2.468 days, so that Venus's pentacle rotates one-half a circle in 216,000 days, plus a correction of 80 days. Mayan systems used easily recognizable counts, later corrected after the appropriate lapse, by a day-adder. Hence, a complete circle would take 432,000 days, plus 160. In vague years of 365 days, this is 1,184 (Haab,) also equal to 148 cycles of 2,920 days. The distance "148 STU" is marked by the first wall south of the E/W centerline of the Great Pyramid, and also serves as a third multiplier for long term eclipse counts (148 x 9 = 1,332 days. "1,332 STU" marks the Zone’s South limit wall. Factorials tabulated include repeating multiples necessary to follow planetary counts, as well as for calculations of areas and volumes. (Also see the Multidimen- sional Matrix Tabulation, Part 4.) It can be seen that 9! encloses eight Earth model areas: 45,360 sq. STU; 10! encloses four Earth model volumes: 907,200 cubic STU. Red numbers have been used to illustrate basic design distances of 60, 216, 378 and 756 STU. Violet numbers point out 288 STU for 12!, 13! and 15!. In green is the perimeter of the "Citadel," the Saturn Quadrangle, as a factor (1,512) for 9! through 16!, plus showing that 151,200 days is a repeating count for 400 Saturn orbits (see Page 16 of the first Research Summary, March 21, 2002.) We are reminded that the Halach wears double circle earpieces: two circles of “378” are 756; four are 1,512. A principal factor of 16! is the Oxlahkatun [1,872,000 days (in blue)] dimensioned in Teotihuacan as "1,872" -- the sum of two sectors of "936" (enclosed by 13!) My tabulation does not include a large number of other alternate factors that would require many more columns if enumerated. The principal N/S distance of 2,268 STU is a prime factor of 9! 362,880 = 2,268 x 160 = 378 x 960. These correlations demonstrate that the Mayan calendar system was laid out by competent astronomer/mathematicians, who achieved high precision in following repeating cycles with integral factors using minimum corrections. Their knowledge was converted to an architectural design with no equal anywhere in ancient times. I believe it is reasonably probable that Mayan mathematicians could have known e based on their knowledge of factorials. When six terms (to + 1 / 5!) are calculated, the value of e is 99.64% of 2.718281828… At 6! (+ 1 / 720) the calculation is 2.7180555…, or 99.94% of the conventional value, above. In Part 3, it will be seen that Mayan counts include hundreds, thousands and millions, which exhibit their knowledge of powers of ten.

3

FACTORIALS AT TEOTIHUACAN SHOWN BY DIMENSIONS IN STU MAYAN TREASURE SUPPLEMENT 2004

X_ 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

X! FACTORIAL 1 2 6 24 120 720 5,040 40,320 362,880 3,628,800 39,916,800 479,001,600 6,227,020,800 87,178,291,200 1,307,674,368,000 20,922,789,890,000

_____ FACTORS___________ 1 1 x 2 1 x 2 x 3 1 x 2 x 3 x 4 1 x 2 x 3 x 4 x 5 1 x 2 x 3 x 4 x 5 x 6 20, 252; 42, 120; 5, 7, 144… 360 x 7 x 16 1,512 x 24 x 10 *151,200 x 24 151,200 x 24 x 11 151,200 x 288 x 11 151,200 x 208 x 18 x 11 151.200 x 312 x 231 x 8 1,512 x 216,000 x 4 x 1001 1,512 x 1,872,000 x 462 x 16 (Note: 7x11x13 = 1,001)

OTHER FACTORS 2 x 63 x 40 2 x 5 x 7 x 24 x 24 8 x 45,360 4 x 907,200 48 x 756 x 100 x 11 60 x 60 x 231 x 576 93,600 x 288 x 231 14,400x 312x21x231x4 45,360x288x7x11x13 907,200x256x1001x9

Ref: 04-01/TEO © - Hugh Harleston, Jr. - 2004 21-Jan.-2004 NOTES: (1) Underlined numbers are marked in STU at Teotihuacan.

(2) Two double-circle earpieces are 1,512 = four sides of the Saturn Quadrangle (The "Citadel") = 4 x 378 STU = 1,512. (3) 15! is equal to 1,872,000 (a Mayan Oxlahkatun) x 99 x 49 x 144. (99=9x11 also in murals; 49 is given by steps (on "Sun" Pyramid) 144 = dimensions in the “Citadel,” on the Avenue, and at the “Moon”

(4) *See Research Summary Sect. I, P.16, Fig.5, 400 Saturns, XII-2001. 4

MAYAN TREASURE SUPPLEMENT 2004 -- SECTION III PART 2: SQUARES, CUBES AND "e"

Mayans at Teotihuacan were familiar with squares and cubes, evidenced by their measurements in STU. Some of these are listed in Tabulation 2, page 6. The use of square platforms and square pyramidal complexes is another confirmation. In 1665 Isaac Newton recognized that a series of reciprocals of factorials, namely 1 + 1/1! + 1/2! + 1/3! + … 1/n! will approach a limit that was designated "e," the natural logarithmic base 2.71828… In the 18th century, Euler discovered the relationship of e raised to the power of (i)(Pi) plus e to the power zero is a sum equal to zero. In the same century both Pi and e were proved to be irrationals. In the late 19th century both e and Pi were shown to be transcendental, meaning that the numbers are real, and not algebraic. The pre-Christian Greeks are believed to have developed algebra without negative numbers and without factorials. What they really knew is conjecture, but not what they may have known and kept secret, as for example by Pythagoreans. We cannot say what they did not know. This will remain forever speculatively unprovable. Egyptian, Hindu, Chinese and Islamic mathematicians are in the same category. Today's researchers say that Mayans knew zero before the Arabians. However, others say that Mayan "zero" is not the same as the Arabian; that is, Mayan zero can mean "nothing is missing; my abacus box is complete." This may change when more evidence has been found. New evidence at Teotihuacan forms the factorials listed under Part 1. For example: 6! (720) contains integral factors of Mayan day counts: 1, 20, 360 (K'in, Uinal, Tun.) 8! (40,320) accomodates 28, the day count for stellar months (Paris Codex.) Note that 28 x 13 = 364, the year count for thirteen Mayan constellations. 9! (362,880) can be factored by 36, 48, 96, 144, 162, 216, 288, 252, 378, 756, 2268 and 45,360, the area of a scale model of Earth. Here is a strong reason for Mayan preference for "9," number of Hunab Ku, giver of movement and meaurement. 10! (3,628,800) allows us to divide by 907,200, volume of the Earth model with radius of "60." The result is four earth volumes. 13! (6,227,020,800) permits division by 93,600 (13 Katuns.) When we reach: 15! (1,307,674,368,000) we can divide by the Oxlahkatun of 1,872,000 days, as well as by the Venus long cycle pentacle count of 216,000 days, and volume of the Holy Black Cube of Mecca, that measures 60 units per side. Also see Part 1, pages 2,3.)

5

MAYAN TREASURE SUPPLEMENT--2004: SECTION III

TABULATION NO. 2 SQUARES AND CUBES AS TEOTIHUACAN DIMENSIONS

No. 1 2

Squared_ 1* +3x1 = 4*

____ Cubed_________ 1** +7 = 1+6 = 8**

NOTES

No. 1 2

3 4 5 6 7 8 9

10 11 12 13 14 15 16 17 18 19 20

+5x1 = 9* +7 = 16* +3x3 = 25 +11 = 36* +13 = 49° +3x5 = 64 +17 = 81* +19 =100 +3x7 =121 +23 =144* +5x5 =169 +3x9 =196° +29 =225 +31 =256 +3x11=289 +5x7 =324* +37 =361 +3x13=400

+19 = 7+12 = 27** +37 = 19+18 = 64~ +61 = 37+24 = 125 +91 = 61+30 = 216** +127 = 91+36 = 343** +169 = 127+42 = 512 +217 = 169+48 = 729** +271 = 217+54 = 1000 +331 = 271+60 = 1331** +397 = 331+66 = 1728~ +469 = 397+72 = 2197 +547 = 469+78 = 2744** +631 = 547+84 = 3375 +721 = 631+90 = 4096 +817 = 721+96 = 4913 +919 = 817+102= 5832** +1027 = 919+108 = 6589 +1411 = 1027+114 =8000 © Hugh Harleston, Jr.2004

*NumericalArk 63x756x2268 =divisible by these squares _____________ °NumericalArk 13x756x2268 =divisible by these squares (V=22,289,904) _____________ **Numer.Ark h=63= divisible by these cubes (V=108,020,304) _____________ ~Ark: h=60 = divisible by ~ (V=102,876,480)

3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

NOTES These 20 squares are sums of odd numbers, a series of 19: 3,5,7…39. Cubes follow a series of adders: 6,12,18,24… 114, functions of "6." Ten squares and eight cubes are dimensions in STU, suggesting that

Mayans were aware of these functions. If a vertical structure measures ten STU it may mean we can use its

cube--"1,000"--as a multiplier; e.g., a square of 312 STU in the Saturn Quadrangle ("Citadel") with area 97,344 can signify 97,344,000 vague years of 365 days = 35,530,560,000 days. This is equal to a Tzolkin (260 cycles) of Eras, each being 73 Oxlahkatuns (136,656,000 days,) known

Mayan counts. Furthermore, 52 Oxlahkatuns are 97,344,000 days. [edited 10-august-2006)

6

MAYAN TREASURE SUPPLEMENT 2004: SECTION III PART 3: A UNIQUE POWER OF "e"

It can be coincidental, or perhaps deliberate, that the Teotihuacan STU can be expressed in meters as the twelfth root of the number two: 1.059463094…, or abbreviated as simply 1.0594(6)…one meter plus 5.946 centimeters. One-half a millimeter can be distinguished with normal vision. We believe that advanced Mayan mathematicians discussed relationships among themselves, without ever sinking to the level of primitive mentality alleged to be the case for several centuries of domination by ignorant invaders from Europe, whose major interests were greed, sex and proselytism. With this in mind, a test was made raising logarithmic base e to roots of the number two. Twenty-four roots are tabulated on Page 9, although the test was made for forty-eight, as noted. There is only one root of 2 that produces a series of numbers unique to the basic Teotihuacan design: 1.059463094… The result is: 2.88482169636… When expanded, i.e., multiplied by 100,000 million, the product is:

288 48 216 96 36 …

These numbers are redundant dimensions in four sectors: in the Great Quadrangle of Saturn (the "Citadel";) at the Great Pyramid of Jupiter/Hunab Ku (now designated the "Sun" Pyramid;) at the northern stellar observatory (at present called the "Moon" Pyramid;) and on the Grand Avenue (no named the "Street of the Dead.") A marked-up version of the "Citadel" (see map, P.10) shows how these numbers are defined. The spacing of the three eastern pyramidal platforms leaves no question that the logic is Mayan, since the spaces total 312 STU(see below.) When the official Teotihuacan Map was published in 1973 (see Bibliography) there were errors and, as in any research, guesses. The group of three eastern platforms, (officially labelled P, Q and R) carry a speculative overlay, showing a larger base (27.5 m. by 29m.) in the center (Q), and two smaller ones north (P) and south (R) measuring 23 x 24m. But when the three structures were excavated, it was found they have the same bases: 23.3 m. square; that is, 22 STU by 22 STU. The width of the Quadrangle is 378 STU. The stone platforms are separated by 48 STU, the space between each pair being 26 STU. The centerpoints of the outer platforms mark 96 STU, leaving each side spacing at 130 STU, a total of 260 STU, the Tzolkin. The inner space between the platforms totals 52 STU, and the total for the four spaces is 312 STU, a repeat exhibition of the short count of six 52-year periods (see map, P.10.) The sum of the three platforms is 66 STU, repeated twice at the so-called "Moon" pyramid, as 128 + 4 (the first add-on or adosado.) These dimensions were published in The Keystone, 1984, pp.121 (see Bibliography.)

7

SUPPLEMENT 2004 , PART 3, SECTION III: A UNIQUE POWER OF "e"

In the Saturn Quadrangle are two rows of platforms, 24 x 24 STU, KLMN to the north, STUV on the south, whose centers are spaced 144 STU east to west. These two dimensions register 288 STU. The west baseline of the No.3 Pyramid (now called "Quetzalcoatl") marks 216 STU from the western reference line. Vertical structures have measures of five and seven STU, as well as four and nine. These factors give 35 and 36. The "Citadel's" western face marks 7 STU from the zero reference line, which is at the foot of the four platform staircases: WXYZ. Dikes were constructed to the north and south of the Great Pyramid, spaced on its east/west centerline, to mark 144 STU twice: 288 STU, that also measures the distance to Tepantitla (the "Tlalocan" mural.) These dimensions are plotted on Map 2, "Ceremonial Zone," p.11, below. The drawing appeared in my Summary Number 3, March, 2002, and was originally published in The Keystone, 1984. The northern star observatory (the "Moon") is 144 STU wide, or 288 / 2. The center of the pyramid lies 216 STU south of the north limit. From the center to the south edge of the second adosado (add-on) measures 96 STU, a distance given three times (Map 2,) a total of 288 STU. The number of steps up the 5-body 2nd adosado is 48 for a height of 16 STU. The main pyramid itself is five bodies 42 STU high, or 6 x 7. From the "Moon" centerpoint to the "South Complex" marks 288 STU, followed by 216 STU, dimensioned twice before arriving at the centerline of the Great Pyramid (also see maps published in The Keystone, 1984, pp.121-123) If 16! is factored, one of its series will be:

378 x 756 x 73216000

The third term: 73 216,000 presents the multiplier "73" for Mayan calculations of Earth and Venus (73 x 5 = 365 days; 73 x 8 = 584 days.) This is also the multiplier for an Era: 73 x 1,872,000 = 136,656,000 days. An Era divided by 365 (the vague year, or Haab) is 374,400 (see Footnote, Tabulation 2.) The half-cycle of the Venus pentacle is 216,000 days, plus a corrector of 80 days (see pp.2-3, Part 1.) Mayans exhibit their knowledge of tens, thousands and millions. Dimensions include 6, 60, 6000; 72, and 720. Day counts give numbers such as 7,200; 144,000; 288,000; 1,872,000…which shows that they handled multiplications by tens. We believe that they also knew how to raise selected significant numbers to powers by using inherited intuitive genius. It is intriguing to find combinations as shown above. Is it possible that concepts involving multidimensional relationships have not been visualized by moderns in the past, but can now be seen as a fresh field for future research? [edited 10-VIII-2006]

8

SUPPLEMENT 2004 -- SECTION III: POWERS OF "e"

TABULATION NO. 3 24 POWERS OF e AS FUNCTIONS OF ROOTS OF "2"

"X"TH ROOT = (DECIMAL ROOT) 1/2 1.414213562… 1/3 1.259921050… 1/4 1.189207115… 1/5 1.148698355… 1/6 1.122462048… 1/7 1.104089514… 1/8 1.090507733… 1/9 1.080059739… 1/10 1.071773463… 1/11 1.065041089… 1/12 1.059463094… 1/13 1.054766076… 1/14 1.050756639… 1/15 1.047294123… 1/16 1.044273782… 1/17 1.041616011… 1/18 1.039259226… 1/19 1.037155044… 1/20 1.035264924… 1/21 1.033557783… 1/22 1.032008280… 1/23 1.030595545… 1/24 1.029302237…

"e" TO THE "X"TH POWER 4.113250379… 3.525143166… 3.284475963… 3.154084738… 3.072409319… 3.016476757… 3.975784592… 3.944855468… 3.920554404… 2.900958180… 2.88482169636… 2.871303410… 2.859814146… 2.849929117… 2.841334347… 2.833792755… 2.827121980… 2.821179456… 2.815852123… 2.811049168… 2.806696811… 2.802734492… 2.799112035…

© - Hugh Harleston, Jr. - 2004 (see notes below) NOTES: (1) e = 2.718281828…

(2) The 25th to 48th roots of 2 also generate random sequences. (3) e to the 12th root of two, multiplied by 100,000,000,000 is 288 48 216 96 36… key factors in the Teotihuacan design (refer to text, pp.7-8.)

9

MAYAN TREASURE SUPPLEMENT 2004 -- SECTION III PART 4: A MAYAN MULTIDIMENSIONAL MATRIX

What is multidimensional? "Multi-" means "many;" "dimensional" means "a manner of measurement." A matrix can show a series of concepts that are related. What is the Mayan bar-and-dot system for handling numbers (not their calendar)? A series of boxes, one above the other, form an abacus, to add, subtract, multiply and divide numbers. We can use a stack of four boxes. One dot in the lowest box stands for the number "one;" a dot in the next higher box means "twenty;" in the third box, it's "four hundred;" and in the fourth box "eight thousand." In each case the next higher dot is multiplied by the number twenty. This number, four times five, is a key to many Mayan counts. We can see why on p.14. Now put another four-box column next to the first stack, and instead of the number "one" we put the number "thirty-six." This could be a square whose sides measure six units. It does not matter what the units are: centimeters, inches, or whatever. The answers will be the same numbers. The second box will then be twenty times the first number, or seven-hundred-twenty. Move up to the third box. The multiplication by twenty gives us fourteen thousand-four-hundred: twelve times twelve, times one hundred. This, in days, is two Mayan Long Counts, called "Katuns." The fourth box will be twenty times two Katuns: two Long Counts called "Baktuns," (or Niktekatuns,) the fifth Mayan Long Count in days. Remember that "days" are really revolutions of the planet Earth on its axis. What could be a new relationship of these numbers? A third column of four boxes is added. We now have twelve boxes. The lower box on the right is obtained by multiplying thirty-six by an intentionally inexact value of Pi, the ratio of a circle's circumference to its diameter. The Mayans used seven times nine (63), divided by four times five (20.) 36xPi is the area and volume of a unique universal sphere: 113.4, with diameter of six units, and a radius of three. We move up to the second box, multiplying by twenty: 20 x 113.4 is the design length of Teotihuacan's Ceremonial Zone in Mayan STU: 2,268. Simultaneously this number is the count in days of six orbits of the planet Saturn. Furthermore, the number tells us the length of six Earth circumferences, as well as the area of a spherical triangle, a measure of our planet divided into twenty equal triangles. Again multiply by twenty. We get the Total Area in square STU of a rotating earth model reduced one hundred thousand times: 45,360. When we again multiply by twenty, we have the Volume of our earth model: 907,200 cubic STU. [edited: 10-august-2006]

12

SUPPLEMENT 2004 -- SECTION III: PART 4 A MAYAN MULTIDIMENSIONAL MATRIX

First we outline the MATRIX separately, in words:

MAYAN MULTIDIMENSIONAL MATRIX [TABULATION 4]

° A dot is eight thousand (a cube twenty per side)

Two Baktuns, fifth Long Count-- earth revolutions

Volume of Earth, reduced 100,000 times_

° A dot is four hundred (a square twenty per side)

° A dot is twenty (fingers and toes) ° A dot equals one ____________________ Ref: 04-01/TEO

Two Katuns, fourth Long Count in days No. of orbits for Jupiter to cross one-third of Zodiac A square with sides of six; A thirty-six spoke wheel* © -Hugh Harleston,Jr- 2006

Area of Earth, reduced 100,000 times Six Saturn orbits (days); Area, spherical triangle Area and Volume of a Universal Sphere, D=six 21-January-2004

NOTES: (1) The intentional inexactitude for the Mayan Pi = 63 / 20 = 3.15. This value permits correlations to become visible as integral numbers.

(2) *Teotihuacan artefacts include thirty-six spoked wheels. (3) "Orbit" refers to synodic reappearance, seen from earth. This mean-

ing applies throughout this research document. However, Calderon showed that sidereal orbits were known by Mayans, by clocking positions as the planet crosses the Pleiades (Mayan Tzab, rattler of Kan.) MAYAN PI PRODUCES INTEGRAL VALUES. THIS CANNOT BE DONE WITH MODERN UNITS -- FRENCH METER, EGYPTIAN CIRCLE, BABY-LONIAN SECOND. WHEN THE DECIMAL VALUE FOR PI IS USED RE- SULTS ARE DECIMAL IRRATIONALITIES. FOR OTHER RELATIONSHIPS, SEE SECTION I, RESEARCH SUMMARY OF MARCH 21, 2002, PP.11 & 18. [edited 10-august-2006]

13

SUPPLEMENT 2004 -- SECTION III: PART 4 A MAYAN MULTIDIMENSIONAL MATRIX

A MAYAN MULTIDIMENSIONAL MATRIX

[TABULATION 5]

NUMBERS MAYAN COUNTS RELATED VALUES (20x400)

(dot) = 8,000

(20x20) (dot) = 400

(20x1)

(dot) = 20

(dot) = 1

_________________ REF: 04-01/TEO

288,000 x Pi =

(= 14,400 x 20)

14,400 x Pi = (= 720 x 20)

720 x Pi =

(= 36 x 20)

36 x Pi = _________________ © -Hugh Harleston, Jr.-2004

907,200

(= 45,360 x 20)

45,360 (= 2,268 x 20)

2,268

(= 113.4 x 20)

113.4

___________________ 21-January-2004

NOTES: These numbers correspond to the text of Tabulation 4, page 13. The Universal Circle must have a radius of 3 and a diameter of 6; area and volume are found using Pi = 63 / 20 = 3.15, so that 36Pi = 113.4 units. The World Model is of Radius 60 and Diameter = 120 STU, or 6 times 20. The circumference of the rotating dynamic earth sphere model will be an averaged 6 times 7 times 9 = 378. Underlined numbers are found at Teotihuacan as dimensions. If a bar is used in the lower box, it signifies five times the dot, or 5; up one box, it is 100. In the third box, a bar's value is 2,000. The preceding applies to a mathematical abacus. Mayans also used a calendar abacus, in which the third box will have a value for one dot that equals 20 x 18, or 360 (the Tun.) One box higher, this value becomes 20 x 360: the Ka’l-tun of 7,200 days.

14

MAYAN TREASURE SUPPLEMENT 2004 -- SECTION III PART 5: ANCIENT SYSTEMS

Comparison of sacred numbers in areas and time periods contemporary with Mayans include India, Egypt, Greece, China, Tibet and ancient Israel. Some estimates go to 4,500 B.C. Recent archaeology dates Mayans to at least 8,000-9,000 B.C. There is new evidence that dates could be moved back to 16,000 B.C. In India sacred numbers are in Vedantas, Upanishads and the Mahabbarata. The "Life of Brahma" may have been altered to conceal real figures: 12 hours of Brahma is 4,320,000 "years;" a "night" is the same number. Twenty-four hours become 8,640,000. A "year" of Brahma is 360 "days." When multiplied, the product of 8,640,000 x 360 is 3,110,400,000, three billion "years," if accepted. Why is an English day 86,400 Babylonian seconds? Why are 21,600 English nautical miles a trip around the world? 21,600 is a Mayan day-count for triple Jupi- ter/Saturn conjunctions. Why 60 seconds, 60 minutes? Why is the "Black Cube" of Mecca 60 units per side, its volume 216,000…a Venus day-count for Mayans ? Without "thousands" 8,640x360 is 3,110,400; 4,320 is twice 2,160, the time in vague years for a constellation to precess. Plato labelled 12 precessions a "Great Year." If errors applied to Egypt's Great Pyramid are corrected for parabolic faces and the corner-to-corner dimension (230.96 m., equal to 218 STU,) the original structure measured 216 STU, face-to-parabolic-face. The apothem, speculated as a straight line by Egyptologists, may have curved to a height of 152.6 meters: 144 STU. This tells us the pyramid was designed with a 3-4-5 triangle: 108 by 144 by 180 STU on the apothem, its face area 19,440 square STU (108 x 180.) Four faces are 77,760 square STU, a figure given at least three times at Teotihuacan by carved murals. China's Great Pyramid at Urumchi was some 432 STU (2x216) on its base and 288 STU in height. Each face: 216 x 360 = 77,760 square STU. Total area: 311,040 square STU. The "Life of Brahma" at 360 x 8,640 = 3,110,400 ("years"?) These data suggest a common ancient source for India, China, Egypt and Mexico. Stonehenge and Tiwanaku, Bolivia are linked with Sumerian and Babylonian time counts via the Nineveh Constant: 2,268. Gnostic Egyptian sources form part of these correlations. Hebrew Qabala and Greek Gematria exhibit similar numbers. Qabalists recognize a non-verbal reality formed from states of structured energy, symbolized by numbers. Pythagoreans are said to have believed that "everything is number." Egyptians also saw significant numbers: 21 pylons on a pathway to immortality; 42 "weighings of the heart." 21 and 42 are lag times of Jupiter behind Saturn as they reappear in the sky, identified with precision by Mayans. [edited 10-august-2006]

15

SUPPLEMENT 2004 --SECTION III, PART 5: ANCIENT SYSTEMS (Contd.) The Egyptian "Book of the 'Dead' is mistranslated. Maat was said to mean "truth" instead of "a non-verbal state of awareness." Neter was translated "god," Neteru "gods," instead of "a multidimensional communication." With these changes the text speaks to those who have awakened from hypnosis. It describes zombies in the jaws of a crocodile, a time-thought cage. Sunk in a swamp of unconscious people living in virtual reality, the translation conveys the opposite of its intended meaning. Why does an ancient Egyptian "Book" contains phrase after phrase of expressions from the Hebrew Old Testament? The "Book" was the papyrus of Ani, carved in hieroglyphs on walls dated 1,400 B.C. There are also many New Testament phrases. Tabulation 6 shows thirteen Hebrew Qabalist and thirteen Greek Gematria numbers. Meanings appear alongside for comparison. These same numbers appear as Teotihuacan dimensions (p.19, below.) Locations are four major Teotihuacan demarcations: the Quadrangle of Saturn ("Citadel"); the Great Pyramid of Jupiter/Hunab Ku ("Sun"); the Northern Circumpolar Star Observatory ("Moon"); and the Solar Avenue ("Street of the Dead.") The Zohar affirms the creative value of "6" as do Mayans, whose key to multidimensionals is 36 Pi, if Pi = 63/20. There are many references to 60, 600…600,000. Fifty pages cite numbers duplicated at Teotihuacan, but not linked to planetary orbital counts, nor to integral multidimensionals. Six are the directions of space, the Great Unknown. The Sephiroth become a reflected image of the eternal.

THE HEBREW QABALA: Tabulation 6, p.18

The meanings of number sequence 9, 22, 26, 90, 207, 216, 222, 270, 378, 462, 600 are: primeval female energy; cosmic energy structures; unpronounceable inner light; evolved woman; light; holiest of holies; organic movement of the universe; friction (bad); the material world; awareness of existence (good); whirlwind. We point out that Myrim M'gadla became "Mary Magdalene," with numerical value of 40.10.200.10.40 & 40.3.1.4.30 = 378, the whirlwind of the material world, a rotating sphere of illusion and external identification. In STU at Teotihuacan, meanings can be: Hunab Ku's number; two Saturn orbital counts to be corrected; two times 13 or half of a 52-year count; the factor 23 for the solar eclipse double cycle; long-term solar cycles; Saturn orbital day-count of 378 --circumference of Earth in dynamic rotation -- angular degrees, -- a universal circle -- spherical icosahedral triangular area divided by 20; measure of a Mayan second of arc of earth rotation; 10 times 60, north/south demarcation on the Grand Ave … The text of Verse IV,12 of the Sepher Yetsira (cf.bibliography, p.109,) states:

16

SUPPLEMENT 2004 --SECTION III, PART 5: ANCIENT SYSTEMS (Contd.)

"Seven Doubles. (This is) in what manner has combined them: two stones build two houses; three stones six houses; four stones twenty-four houses; five stones one hundred and twenty houses; six stones seven hundred and twenty houses; seven stones five thousand and forty houses, founded…"

The author explains that the above are permutations of objects from 2 to 7 in a general meaning relating them to everything in the seven spheres of cognizable space-time, beyond which the (mouth cannot speak nor the ears hear; i.e., they are non-verbal.) He cites seven "heavenly bodies," seven "days," seven "energies," etc. If numbers are substituted for this text, and the possible translation of "seven doubles" changed to "seven multiples," we see that: 2, 3, 6, 24, 120, 720, 5040 are clearly the first seven factorials (see p.4, Tabulation 1.) Ancient Hebrews were aware of mathematical factorials, keys to cosmic design.

THE GREEK GEMATRIA: Tabulation 6, p.18 The Greek Gematria follows the Hebrew format. For 19, 22, 128, 312, 360, 432, 486, 576, 720, 1080, 1184, 2268 we find (in Greek) sacred Christian concepts, in the sequence: face dots of a cube of 3; titles for the Virgin Mary; Beyond the Mind; Saviour; manifest; spatial projection; to become manifest; the rock of faith; spirit; surface; Holy Ghost; Lord Cosmopolitan; Joshua Cristos Son of Man. Teotihuacan communicates a completely different set: a multiplier for Jupiter's orbit (21 x 19;) a factorial that includes the count of 400 Saturn orbits; width of the “Moon” pyramid = two raised to the seventh power; short count that covers six planetary alignments, once each 52 vague years; day count of eighteen Uinals named one Tun; index to long-term Venus pentacle count; volume of a truncated 9-cube, base of 9, height 6*; two counts of 288, a square 24 units per side; 2 Tuns, a count of Jupiter orbits to move through one-third of the Zodiac, and 6!; sum of 720 and 360 = three Tuns; vague years in a Venus pentacle circular rotation (432,000 days plus 160;) six Saturn orbits -- twenty universal sphere areas or volumes = one-twentieth of the spherical area of a planetary scale model with radius 60, diameter 120. (*with a box 9x9x6, an exact 3-4-5 scale model of Egypt's Pyramid can be drawn.) === 000 === 000 === 000 === It seems that neither Egyptians, Greeks, Chinese, Hindus, Babylonians, Sumerians, Arabians nor Hebrews identified universal geometry and mathematical factorials involving Jupiter/Saturn orbital counts and Solar System chronology. Only Mayans produced data for a multidimensional matrix. We believe a still more ancient system was conserved in Mexico. More research may clarify or correct this conclusion. [edited 10-august-2006]

17

SUPPLEMENT 2004, SECTION III -- PART 5: ANCIENT SYSTEMS TABULATION 6: SACRED NUMBERS

H E B R E W Q A B A L A G R E E K G E M A T R I A NUMBER 9 22 26 30 90 207 216 222 270 378 400 462 600 _________

All numbers:

WORD(S) TAYT (Letters) YWHW YEHUDA TSSADE AWR DBIR BAYT- KAF RAYSH RAA MYRIM MGADLA TAV TAV- VAV- VAYT MEGGA- DAM _________ are dimensions

MEANING Primeval Female Energy Cosmic Energy Structures Unpronounceable Inner Light Jew Evolved Woman Light Holiest of Holies Organic Move- ment of Universe "bad"=Friction The World as Prostitute 400 "soldiers" 400 "shekels" "good"= aware of existence East of Eden: the material whirlwind. _____________ at Teotihuacan

Number 19 22 (x22) +1 = 485 128 (x11) 312 360 432 486 576 (24x24) 600 720 1080 1184 2268

Word(s) (= cube of 3 (titles for the Metanoia Soter (=1408) Dhlos Probole Aporroia Petra Pneuma Kosmos Topos To'Agion Pneuma Theos kos- mopolis Iesoue Kris- tos (& Ieso- ue Anthro- pos)

Meaning

visible face dots) Virgin Mary) Beyond the Mind Saviour Manifest Spatial projection become manifest Rock; the basis of faith Spirit Universe; mind of God. Surface Holy Ghost Lord Cosmopolitan Joshua Cristos (& Jesus, Son of Man)

Ref: 04-01/TEO 21-Jan.-04 ©-- Hugh Harleston Jr -- 2004 Notes: (1) Numbers 1 to 9 also appear as states of energy in the Qabala, and as symbolic names in the Gematria. (2) See Tabulation 7, p.19, dimensions in STU. (3) Only Mayans appear to have arrived at mathematical factorials,

planetary orbital counts as factors, and integral multidimensionals. Their use of an intentionally inexact Pi may have been recognized elsewhere. There has been no evidence of any foreign presence in Teotihuacan before the Aztecs [edited 10-august-2006] 18

SUPPLEMENT 2004, SECTION III -- PART 5: ANCIENT SYSTEMS TABULATION 7: TEOTIHUACAN DIMENSIONS [see the Teotihuacan map, 1973, Biblio.Sect.I, p.24]

DIMENSION MAP LOCATION DIMENSION MAP LOCATION

9

19

22

26

30

90

128

207

216

222

270

312 ___________ SYMBOLS:

C="Citadel";

C, M, S,GA

Hunab Ku#, orbital factor

M (elevations) Jupiter orbital factor

C (3 east platforms) (area 22x22)+1=485

M (elevation)

(=2x13; 52/2;etc.)

C(East of pyramid) M (base 2nd adosado)

C: main pyramid

(also 360/4; 540/6;etc)

M -- base of pyramid (& 7th power of 2)

GA, from C c/l to So.lim.

(=9x23; eclipse factor)

C, GA (repeats) (A=V cube of six)

C: N/S of main patio (222x1.414=Pi x 100)

C: (diagonal in patio)

(solar cycle / 100)

C: defined as square (Haab=short count)

M="Moon"; S = "Sun"; GA= -Grand Avenue Ref: 04-01/TEO

360

one Tun, days

378 (6x7x9)

400

(area 20x20)

432 (Venus cycle)

462

(geo.sec. arc)

486 (Venus cycle)

576

(2x288;24x24)

600 (5x120;10x60)

720

(Jupiter count)

1080 (2160/2;9x120)

1184

(Venus count)

2268 (six Saturns)

21-Jan.-04

C

Basic upper N/S width

C, GA (module, repeats)

S, M

(center of S to pyr.46A)

GA (center C to crosswall)

W.toE.crossing GA

(pyr.46A to pyr.73A)

M Plaza, plumed shells mural to S pyramid

C

(area of eight platforms)

GA from M to S (altar platform to c/l)

GA c/l to c/l

(from "Sun to Moon")

GA, N.lim.to edge 1st crosswall S.of "Sun"

GA, from So.limit:

(to c/l crosswall So.of S)

GA (6x378)

(N. to S. design)

[see text for NOTES]

©-HughHarleston Jr.-2004

Ref. Maps: Harleston, H., The Keystone, Character Composition, Bellaire, TX. 1984,Libraryof Congress LOCC#88-117575, pp.xix, xx; Citadel: pp.111,Fig.1;Sun.Pyr: p117, Fig.7;p118,Fig.8; 119, Fig.9; 120, Fig.10a; Moon: p.121, Fig.11; p122, Fig.12; GA: p.123, Fig.13.

19

SUPPLEMENT 2004, SECTION III- PART 6: THE PARTHENON

Atop the Acropolis at Athens a Greek architectural masterpiece was finished in 438 B.C. by Pericles, supervised by sculptor and architect Phidias. The use of the site, however, dates to cerca 2,800 B.C. The marble temple was dedicated to Pallas Athena, Goddess of Wisdom, born virgin from the forehead of Zeus. In 1926 an architectural drawing (Fig.8-A, p.22) was made by Ath.Georgiades to define the eight eastern columns of the Parthenon in Pythagorean Diatonic Units (PDU,) a measure derived from the monochord eight-tone whole-note octave. The PDU is equal to approximately one-third of a centimeter, or 300.49 per meter. In 1981 I reproduced Georgiades' section for use in an audiovisual to show identical numbers had been identified at Teotihuacan, but at the time I did not see the full extent of the correlations. The numbers rested until March, 2004 for this report. The north to south measurement of the eastern columns -- 9,216 PDU -- is given on a scale that is laid out with 32 intervals of 288 PDU. The first significant observations are that Teotihuacan exhibits nineteen correlations of the multiples of 288; including: 288, 576, 864, 1440, 2304, 2880, 3456, 3744, 4320, 7200 and 7776. Another significant series constitutes 13 multiples of 216: 4, 5, 6, 8, 9, 12, 16, 18, 24, 27, 30, 36 and 40, corresponding to: 864, 1080, 1296, 1728, 1944, 2592, 3456, 3888, 5184, 5832, 6480, 7776 and 8640. The eastern face width -- 9,216 -- is equal to 96 x 96; i.e., 96 squared. It is also 48 x 192, dimensions that appear in Teotihuacan. To these correlations we can add 8x96 = 768, whose twelve multiples are defined in the second horizontal scale, above which appear other measures that include Teotihuacan correlates or duplicates: 1728, 1944, 2592, 2916, 3888, 5184 and 7776. Below the twelve multiples of 768 are the radii of Column Nos. 1 and 8: 288. Their diameters are 576, a dimension given in the "Citadel" at Teotihuacan as eight square platforms with sides of 24 STU, whose areas are 576. Column Nos. 2 and 7 are spaced 1,080 PDU from the internal six columns, a distance marked at Teotihua- can in STU. The number "1,296 PDU" is 6 x 216, found in Egypt as geographical cubits to circle the world: 129,600,000 cubits, each being 6/7ths of a "Royal" Cubit. Immediately above the eight columns appear the spacing center-to-center, marking 1368; then "2664," equal to 2 x 1,332, the third Mayan eclipse count in days, at Teotihuacan. Following is "3960," or ten measures of "396." This STU-dimension at Teotihuacan marks 3 x 11 x 12 = 11 x 36 = 3 x 132, the spacing to the No.3 Pyramid (Quetzalcoatl) vertical centerpoint in the "Citadel" from the east wall limit. [edited 10-august-2006]

20

SUPPLEMENT 2004, SECTION III- PART 6: THE PARTHENON Below the eight eastern columns of the Parthenon are 2160 x 3 = 6,480; and also 2160 x 4 = 8,640. The number "2,160" is, in STU, the reference elevation above mean sea level of the subterranean cave under the Great Pyramid of Teotihuacan. In Greece it was the number of vague years in a twelve-cycle division of the Platonic Great “Year:” 12 x 2,160 = 25,920, that multiplied by 35 is the volume in cu.STU for the reduced scale spherical earth model: 907,200. A comparison of five world areas follows [Part 7, Tabulation 8, p.23.] We do not believe it coincidental that this information was retained by at least twelve sectors of the ancient world, tabulated in Mayan Treasure Section II, 2003, page 19, Tabulation 2: Ancient Sacred Numbers (Factors of World Volume.). When it is seen that the same six key numbers have been found at five ancient sites, and that they are derived in differing units of measure--Standard Teotihuacan Units, Pythagorean Diatonic Units, time measures in India, and philosophical and metaphysical correlations that do not include astronomical data, yet are related to mathematical derivations, it becomes necessary to reexamine the bases for current assumptions with respect to multidimensionals. Profound wonder arises as a result of learning that the architectural masterpiece called Teotihuacan and a second masterpiece named Parthenon are founded on the same mathematical universals: spheres, cubes, tetrahedrons, areas, volumes. It is hoped that this will encourage other researchers. [edited 10-august-2006]

21

SUPPLEMENT 2004 , SECTION III-- PART 6A

TABULATION 8: COMPARATIVE SIGNIFICANT DIMENSIONS

MEXICO EGYPT CHINA INDIA GREECE ____STU_____

288

(spacings)

216 (spacings)

48 & 96

(spacings)

36 (72 & 720)

77,760

(math. Art) & Venus)

____STU_____

288 / 2 (h = 144)

216

(parabolic c/L)

48 (144 / 3)

36

(72/2 & 144/4)

77,760 (4x19,440 (=areas)

© - Hugh

____STU_____

288 ( = h)

216

(432 /2)

48 & 96 (288 / 6 & 3)

36

(216 / 6)

77,760 (216x360) (= areas)

Harleston, Jr.

__(TIME?)__

288 / 2 (864 / 6)

216

(216x1440)

48 (144 / 3)

36

(432/12&288/8.

77,760 (311,040 / 4) (&36x2160)

- 2004

____P.D.U.___

288 (spacing unit)

216

(6480 /30)

96 & 48 (spacings)

36

(1296 / 36)

77,760 (10x27x288) (& 7776x10)

NOTES: [h=height;PDU=Pythagorean Diatonic Units; STU=Std.Teotihuacan Units] 1.) For other correlations please refer to Research Summary 1971-2001, MAYAN TREASURE: Space and Time Unified at Teotihuacan, March 21, 2002 and to SUPPLEMENT No.1, 2001-2003, April 12, 2003 (now titled “Section II.”) 2.) Note that at Teotihuacan the number 7776 is seen by counting factors given by

art designs (8 x 9 =72; x 18 = 1296; x 6 = 7776) on the columns of the patio now named "Quetzalpapalotl" which presents stylized falcons. At the Parthenon the numbers in PDU include 288, 576, 864, 1080, 1296, 1440, 1944, 4320, 5184* 7200, 7776 & 8640. (*see Part 7, Future Research, par.8, p.25, Cahokia areas.)

3.) For reference: e raised to the power 12th root of 2 = 2.88 48 216 96 36… 4.) 48,600 Venus orbits of 584 days = 28,382,400 days; divided by 365 = 77,760 Ma-

yan Haab, i.e., vague years. 486 is a dimension in STU. It is also the volume of a cube of nine, truncated to a height of 6. Connecting the centerpoint of the upper square of 9 to each of the corners on the base of 9, describes a pyramid 1:24 to scale, a model of the Egyptian version. Its area is 216 and volume 162 (see notes p.17, par.5, Greek Gematria.) Major Mayan parameters are 162 & 216, which add to 378 = (3x6x9) + (6x6x6). [edited 10-august-2006] 23

MAYAN TREASURE SUPPLEMENT 2004 -- SECTION III PART 7: SUGGESTED FUTURE RESEARCH

Correlations made between August, 2003 and April, 2004, reported in this supplement, provide suggestions for future research: 1.) Teotihuacan: (1a) Tunnels into the "Moon" pyramid confirmed the original base at its center measures 73 feet square =22.25 m.=21 STU.) "21" is the lag time (days) of Jupi- ter behind Saturn. More finds could confirm Mayan parameters in STU. (1b) Original corners of the Great Pyramid were not sounded, except on the SE in the 1960's. There may be no corners underground; i.e., Mayans marked the reference level of their “secret cave," confirmed at 2,284.3 meters (2,160 STU.) (1c) Measurements (1970's) show that the end of the lava tunnel is +/- 40 m. = 38 STU from the centerpoint of the pyramid. Soundings could be made with a borescope. Orientations are on 1984 drawings (cf. Biblio. Baker, et al.) It can be determined what is at the center: a chamber? a vertical tunnel? a staircase? 2.) China: Great Pyramid at Urumchi. Verify orientation north to south; azimuth

to snow-capped volcano NE of Urumchi. Is distance significant? Inside characteristics: tunnels, structures, artefacts? Precise coordinates: Defense GPS data.

3.) Egypt: prove or disprove that counts of Jupiter/Saturn orbits and conjunctions

were known to ancients. Are any bonafide astronomical systems similar to Mayan? Were factorials known? Long-term corrections for orbital counts (synodics or sidereals?) Are chambers under the Sphinx? Its real age?

4.) Greece: did ancients know Jupiter/Saturn counts? Any correlative multidimensional data? Did Pythagoreans know factorials? Could they have found logarithmic base e? Why do diatonic units convert music to measurement? Systems at Teotihuacan fit infrasonic F-sharp, a fifth above B-natural, resonant infrasonic vibration of planet Earth (7.83 cps) whose fifth is 11.34 cps, the brain's alpha-frequency, tone of an open organ tube 1.0594 meters long.

5.) England: Egypt's "Book of the Dead" could show drastic changes in

interpretation when two key words are translated correctly: Maat ="non-verbal awareness;"Neter(u) = "multidimensional communication." The 1,400 B.C. text has statements found in Hebrew Old and Christian New Testaments (Why?)

6.) Middle East: Identify data related to the "Nineveh Constant"-- 2,268. Is there connection to six Saturn orbits? Determine if Jupiter/Saturn orbital counts were registered in Sumeria/Babylonia. Was there knowledge of factorials? How was 2,268 used to find precession of the equinoxes? Was it known in 3,000 B.C.? [edited 10-august-2006]

24

SUPPLEMENT 2004, SECTION III-PART 7: FUTURE RESEARCH First, multiply to find: N-1: 720 x 1,512 x 480 = 522,547,200 = 907,200 x 576 N-2 = 13 x N-1: = 6,793,113,600 = 907,200 x 52 x 144* *The Mayan volume of an earth model is 20 times its area = 907,200 cu.STU. The synodic orbital times used by Mayans were Mercury 117 days, Mars 780 days and Saturn 378 days, to be fine-tuned after the appropriate number of "reappearances." A modern assumption is that Mayans could not possibly have known the concept "orbit," based on another assumption that no precolumbian could possibly know that the earth was revolving, nor that it went around the sun. These mistaken ideas remain solidly in place, except that with new discoveries they become less and less acceptable. Correlations at Teotihuacan make it probable that ancients kept certain knowledge confidential, in the style of modern militarists. By dividing the N-2 count (above) by synodic orbital times we have: Mercury N-2 / 117 = 58,060,800 = 907,200 x 64 = 288 x 63 x 3200 Mars N-2 / 780 = 8,709,120 = 9072 x 960 = 288 x 378 x 80 Saturn N-2 / 378 = 17,971,200 = 312 x 144 x 400 = 104 x 17,280* *Numbers that have been identified in this Supplement. See p.25, par.8, Cahokia, Illinois: 17,280 = (2/3) x 25,920. In Mayan, an upper half-circle is called Ka-K'an, dual wisdom. The lower, unseen half is named Ka-Baal-(Ah): hidden magna duality. Could Mayan ABLAM -- "a net of measures" (AB, a net, LAM, a distance) be a source for ABRAM (in Hebrew: possesser AB; (of) cosmic dwelling, RAM)? For Druids, RAM is symbolized essence, behind the veil; for Egyptians AHRAM is "pyramid," basis of the world. It is suggested that interested researchers extend the investigation of numerical messages encoded in Mayan glyphs.

27

SUPPLEMENT 2004-PART 7: FUTURE RESEARCH

10.) Mathematicians. Suggestions from verbal sources that the long-term cycle of cataclysmic catastrophes on planet earth might have been two-thirds of the Platonic "Great Year:" (2/3)x(25,920)x(365) = 17,280 vague years = 6,307,200 days (i.e., earth revolutions on its axis.) In the 1980's we found that this count, on observing it as it might have been seen by Mayan eyes, becomes 63 0 72 00. If its multiples are tabulated we can see the following (underlined numbers are architectural dimensions in STU at Teotihuacan): 63 0 72 00 x 2 = 126 144 00

x 3 = 189 216 00 x 4 = 252 288 00 x 5 = 315 360 00 x 6 = 378 432 00 x 8 = 504 576 00

x 12 = 756 864 00 … and so on. Since the Platonic "Great Year" is a submultiple of earth's scaled volume (35 x 25,920 = 907,200 cubic STU,) and since the overall design of Teotihuacan presents submultiples of numbers up to 16! (cf. pp.4 of this Section III, Supplement 2004,) then relationships known to Pythagorean Greeks and Mayans may have been derived from an ancient storehouse of mathematical knowledge. Long-term precision is given by easily correctable factorials' submultiples in whole numbers. This implies that planetary orbital times may have been designed by a superior ancient technology that encompassed multidimensional relationships, including polar axis precession, linkage to our sun's galactic orbital positions, and other interacting fields as yet unknown to 21st century science. It is postulated that consciousness is a tachyonic field interacting with disciplined humans who transmit advanced knowledge dictated by cosmic universal intelligence. It is hoped that researchers versed in mathematics will investigate these findings. Is knowledge of factorials one explanation of the appearance of these submultiples? Could other mathematical relationships explain correlations with solar system and galactic parameters? What could be extra solar-system energy relationships that may be related to earth's axial spin? What extragalactic interactions might be involved? How can these be determined? Do above-the-speed-of-light factors play a part? (cf. Bibliography, Magueijo, J., Faster Than the Speed of Light, 2003.) Hugh Harleston, Jr. / Tijuana, B.C., Mexico (Postscript added May 30, 2004; text edited 10-august-2006) DISK: MAYTRESU-04M-1.DOC / HH / 30-V-04 27A

SECTION III, SUPPLEMENT 2004 -- PART 8: CONCLUSIONS

1) Teotihuacan's architecture is based on mathematics: factorials and universal geometric relationships, e.g., circle/sphere, square/cube, triangle/tetrahedron. Mayan Long Counts are submultiples of factorials.

2) Six key numbers appear in Mexico as STU's and in Greece as Pythagorean

Diatonic Units (PDU). Many numbers appear in India, Egypt and China when conversion is made to STU's. Five numbers are obtained by raising natural logarithmic base e to the 12th root of 2, suggesting that factorials, used to find e, were inherited or deduced by Mayans and Greeks, and kept secret.

3.) The Mayan system of bars-and-dots for mathematical and calendric relationships permits construction of a multidimensional matrix using an intentionally inexact value of Pi. The matrix exhibits integral relationships that register planetary synodic orbital counts and other parameters. The matrix' base is the number 6, a factor of 36, 48, 96, 216 and 288. The area of a scale model earth, 45,360 sq. STU= 7560 x 6; its volume is 6 x 151,200, the day-count of 400 Sat- urns. The universal tetrahedron's side is the square root of 6 x 6 x 6: 216. A dynamic circle's circumference is 63 x 6. This may explain why sacred texts say genesis, a continuous energy event, is defined by 6 measures (not "days.") This further explains the use of hexagons and six-multiples by Islamic sources. Matrix concepts lead to my conjecture: speculative "dark energy" is a name for evolving consciousness, a beyond -the-speed-of-light field that produces the universe continuously, possibly resolving contradictions of a "big bang" theory. 4) A multidimensional matrix cannot be obtained with modern values for angular rotation, length in meters and seconds of time, nor with an irrational value of Pi (3.141592654…) Correctable flaws in today's units of measure may not necessarily lead to integral multidimensional values. 5) Conjecture; the earth was accelerated in the past from 86,503.04 seconds per

revolution to today's 86,400 seconds.* A polar diameter of 12 million STU's is said to be approx. 12,713,528 meters. The speed of light changes from 300 million STU per Mayan second to today’s 299,792,508 …irrational French meters per modern second. It seems simpler with the speed of light as trinity = 3, making E = m times (c-squared) read as: energy is proportional to 9 units of mass. 9 is the Mayan supreme entity’s number:

Hunab Ku, Giver of movement, measurement and love. [*Biblio.Sect.III, p.29, Sc.News, Apr.22, 2006: conflicting time measurements] [NOTE: Research Summary (2002), Supplement No.1 (2003) and Supplement No.2 (2004) present 33 Conclusions and 24 Suggestions for future research. Also see Section V. (reedited under MAYTRESU-05T2ED.- 10-VIII-06) 28

MAYAN TREASURE -- SUPPLEMENT 2004, SECTION III ADDITIONAL BIBLIOGRAPHY

BLATNER, DAVID

1999 The Joy of Pi, Walker Publishing Co., Inc., USA BLIGH BOND, Frederick and Thomas Simcox Lea

1977 GEMATRIA (A Preliminary Investigation,) R.I.L.K.O., London BUDGE, E.A. WALLIS

1895 The Egyptian Book of the Dead (Papyrus of Ani), Dover Publications, Inc. New York, 1967 (also titled, "The Book of the Great Awakening.")

COWAN,R. “To Leap or Not to Leap,” (conflicting theories of time measures.) 2006 Sc.News, Apr.22, Vol.169, No.16, pp. 248-249. GHYKA, M.C. El Número de Oro, p.105, citing Ath.Georgiades "Harmony in 1926 Architectural Composition," Athens. GOUVOUSSIS, K. 1972 Athens. Editions Gouvoussis, Athens. GURDJIEFF, GEORGES I.

1962 All and Everything, Routledge & Kegan Ltd., London (cf. Chap.30) KELLEY, DAVID H. 1975 "Maya Astronomical Tables and Inscriptions," Native American Astronomy, University of Texas Press, Austin, TX. LANGENBERG, D.N. & B.N.Taylor. Precision Measurement and Fundamental Constants, 1971 National Bureau of Standards Special Publication 343, Washington, D.C., p.317 MAGUEIJO, JOAO. Faster Than the Speed of Light. Perseus Publishing, 2003 Cambridge, Mass. MANHAR, NURHO DE

1978 ZOHAR (Bereshith -- Genesis), Wizards Bookshelf, San Diego, CA. MAOR, ELI

1991 To Infinity and Beyond, Princeton University Press, Princeton, N.J. 1998 e: The Story of a Number, Princeton University Press, Princeton, N.J.

NAHIN, PAUL J. 1998 An Imaginary Tale (The Story of the Square Root of Minus One) Princeton

University Press, Princeton, N.J. OEKONOMIDES, AL.N.

1972 The Acropolis of Athens. Ed.Gouvoussis, Athens, Greece PREISSER, ASUNCIÓN. La Reducción Logística de Gottlob Frege, Tesis de Maestría en Fi- 1987 losofía de la Ciencia, Universidad Autónoma Metropolitana, Mexico, D.F. RIORDAN, Michael & W.A.Zajc. “The First Few Microseconds,” Sci.Am., vol.294, No.5, New York, May, 2006, pp.34A-41. SANTILLANA, GIORGIO DE and Hertha von Dechend

1977 Hamlet's Mill (…Origins of Human Knowledge,) David R. Godine, Boston SCHAYA, LEO 1974 The Universal Meaning of the Kabbalah (trans. from French by Nancy Pearson)

Penguin Books, Inc., Baltimore, Md. SEIFE, CHARLES

1999 ZERO (The Biography of a Dangerous Idea), Viking/Penguin, New York SUARES, CARLO

1970 The Cipher of Genesis (Original Code of the Qabala as Applied to Scriptures,) Shambala Publications, Inc., Berkeley, CA

1976 The Sepher Yetsia, Shambala, Boulder, Colo. 29

MAYAN TREASURE – SECTION IV HARLESTON REF: 04-01/TEO OCT.31, 2004

DID MAYANS KNOW 24-DIMENSIONAL ALGEBRA?

In 1973 Dr.Charles Musés published a tabulation of hyperspheres that can touch in higher dimensions (4th, 8th,…24th.) He named them T-numbers (“T” for touching.) His tabulations include many STU measures that had been recognized in the 1970’s. The October 2* Science News gives a report entitled “Oddballs.” It cites recent sources at the University of Minnesota, the AT&T Laboratory (Florham Park, N.J.) and Moscow’s Keldysh Institute. It was declared that researchers had “figured out” what they renamed as “kissing numbers” in dimensions 8 and 24. They stated that it is possible to fit 240 spheres at the 8th dimension, and a “mind-boggling” 196,560 can be crowded around one identical sphere at the 24th. The tabulation published by Dr. Musés is a document that was sent in 1975 to this author’s research files. Musés also prepared a special paper in 1974 for presentation at the International Conference for Psychotronic Research, held in Monte Carlo in June, 1975 (Bibliography below.) Is it possible that 30 years later these researchers may not have known Musés’ work? An analysis of the whole number factors of 196,560 shows 151 divisors, of which 55 (more than one-third) appear as dimensions in STU at Teotihuacan. A selection (see p.3) is formed by thirteen of the largest factors (144 to 2,160) and thirteen smaller numbers (3 to 117.) This confirms that at least 26 significant hypersphere factors are included in the design of a Mayan Ceremonial Zone. The factors also appear elsewhere, not only in dimensions but also in Mayan Long Counts (Palenque, Copan, Edzná, Chichen-Itzá, and others.) These data support the conjecture that Mayans did not stumble haphazardly on specialized mathematics. Following are references, tabulation of T-numbers, factors that appear at Teotihuacan and selected planetary alignment count numbers. *Klarreich, Erica, “Oddballs,” Sc.News, Vol.166, No.14, pp.219-221, Oct.2, 2004. DISK: SCNEWS-04-03.DOC // HH // 31- X-04 P.1 of 4

[reedited MAYTRESU-05T2ED. – 16-IV-06]

MAYAN TREASURE: Space and Time Unified at Teotihuacan

RESEARCH SUMMARY: 1971--2006 by Hugh Harleston, Jr.

> SECTION V: 2005 <

Was 9! the Mathematical Base of Mexico’s Great Pyramids?

[Posted www.harleston13.com – 2006]

MAP OF TEOTIHUACAN IN STD. UNITS OF 1.0594(6) METERS

Data sources:

(1) Teotihuacan Map/Univ.of Rochester/U.of Texas Press; (2) Interamer-ican Geodesic Services (IAGS), Mexico City; (3) Secretaria de la De-fensa, Mexico; (4) Defense Mapping Agency, Washington,D.C. via IAGS-Mexico; (5) Aerial Mapping, Comision de Estudios de los Te- rritorios Nacionales (CETENAL,) Mexico, D.F., 1974 -1998.

ii

SECTION V – FURTHER CORRELATIONS

INDEX Map of Teotihuacan in Standard Units of 1.0594(6) m. ii Map—Detailed, 1974 & 1984 data with corrections iii Index iv Introduction v Part 1: Mathematical Design Base was 9-factorial? 1 Supplemental Geodetic Sources 3 Tabulations 1 & 2: Space-Time Factors of 9! 4 Figure 1. Plumed Shells Mural: 1,512 & Venus Counts 5 Part 2: Prime Numbers (recognized: 1974 to 2005) 6 Factorial Limits 7 Tabulation 3: Prime Numbers as dimensional factors 8 Part 3: Mayan Decimals? 9 Multiples of 17,280 vague years. Factors of 25,920 10 Part 4: Redundancy Cubed; Triangular Numbers 11 Fig.2 – The “Citadel” – 1984 12 Overlapping Numbers 13 Fig.2A – Map 2, 1984 with notes 2005 13A Part 5: Vertical Visions: Measured Heights 14 “Sun” pyramid: Jupiter Numbers 15 “Moon” pyramid: Jupiter, Saturn, Eclipse numbers 17 Multidimensional Awareness 18 Figure 3: the “Moon” 630 B.C. to 216 B.C.? 19 Part 6: Conclusions 20 Predictions 22 Planned Future Research 23 Beyond the Speed of Light 24

iv

SECTION V - INTRODUCTION The definition of “research” can be to investigate thoroughly, reexamine carefully, revise accepted theories in the light of new facts. It can also mean to study again, and again,… and still again. Italian philosopher Benedetto Croce said that an artist sees the landscape; the rest of us surmise what it ought to be. Marcel Proust tells us that a real journey of discovery is not new landscapes, but having new eyes. This section presents conclusions applied to data accumulated in and related to the Valley of Teotihuacan. Three basic attitudes were exper-ienced: physical, that stores evidence of the senses; emotional, that observes sentiments generated by contact with the site itself and with colleagues whose paths were shared; intellectual associations, thoughts evolving like rotating kaleidoscopes. There can be a mixture of two or more kinds of experience. These mixtures generated Section V of Mayan Treasure, that includes mathematical correlations, new research possibilities and an invitation to consider Mayan contributions to replace obsolete speculative theories. The value of seeing differing viewpoints is that they can reveal some of the limitations in today’s assumptions with respect to scientific measurements and interpretations of art. This may open new doorways. As Cousineau tells us, mythology is to religion as mathematics is to physics. Both mythology and mathematics use technical languages that access realms that cannot be described in everyday language. This project has taught me to follow Emerson’s dictum, “Adopt the pace of nature: her secret is patience.” Emerson encouraged me to relive findings of the 1940’s, 1970’s and the new millennium. This led to a better understanding of unexpected correlations that evolved at “nature’s pace.” It is my hope that the suggestions assembled here will bear fruit for other researchers. Hugh Harleston, Jr. Tijuana, B.C., Mexico 20 November 2005.

v

SECTION V – Part 1 TEOTIHUACAN’S MATHEMATICAL BASELINE*

In August, 2005 I found a Mayan milestone, a marker on the road to unified space and time. The marker: a mathematical “factorial,” the product of all positive whole numbers from the number one to a selected number. Factorial three, symbolized by 3!, is one times two times three, equal to the number six. If we continue multiplying, factorial five is the number one hundred twenty. 5! is one times two times three times four times five. A number can mean whatever is assigned to it. If it’s minutes, then 120 is two hours. Worldwide agreement is to make our clocks move sixty seconds per minute and sixty minutes per hour. This holds true if we continue to agree. If a value is assigned to a piece of ceramic or stone used as the ruler for laying out the Great Pyramids at Teotihuacan, then 120 rulers will be a precision model of earth’s polar diameter, reduced one hundred thousand times. If a sphere is divided into twenty equal surface triangles, these can be subdivided into only six smaller triangles, each curved like a child’s balloon. The triangles are not duplicates. Sixty of them have to be bent backwards to fit over the others. If we use Teotihuacan’s rod each smaller triangle has an area of six times seven times nine. If the units assigned are earth revolutions --“days” -- the area of each triangle counts the reappearance of the planet Saturn overhead in the sky in almost the same place after six times seven times nine: 378 days. Mayan vision does not end here. A great Quadrangle was built, with sides of six times seven times nine Mayan STU. Six of these sides measure the length from north to south of the rectangle that defines the Monumental Zone area, a rectangle whose width is two Great Squares. The area that archaeologists call “Ceremonial Zone” covers twelve squares, shown by what could be renamed the Quadrangle of Saturn. Mayans combined space and time measures. Teotihuacan’s Monumental Zone measures two by six Saturn orbits, seen from earth. That’s nearly 192 square city blocks, two million square meters, or 475 English acres. Wonder grew when it was found that twenty times six orbits of Saturn equals the number for the surface area of the earth model. But then, twenty earth model areas become a number that measures the planet’s volume in cubic units.

-- 1 -- *Also see A Mayan Milestone, website http://earthmatrix.com/harleston/index.html, 31/aug/2005 [edited 10-VIII-2006]

Harleston Teotihuacan’s Mathematical Baseline Even more impressive: that volume divided by six is the number of days in four hundred orbits of Saturn. Each time period of 400 Saturns, registered on carved Mayan stones called stelae, is equal to one hundred walks around the Great Quadrangle of Saturn. Each walk is four times 378: one thousand five hundred and twelve STU. This number, in Mayan bar-and-dot code, is sculpted on the wall of a Teotihuacan mural in the chamber beneath a multi-columned patio assigned a speculative Aztec name by last century’s restorers: Palace of the Quetzal Butterfly. (see Fig.1, p.5 below, “Plumed Shells” mural, its numbers made visible.) What does this have to do with factorials? The study of Teotihuacan’s architecture confirms that the mathematical basis for Mayan measurements of space and time given by the dimensions of the Great Pyramidal Zone, a time-count model of our solar system, was probably factorial 9! …namely: 362,880 Or, in Mayan format: 36 288 0 Our solar system, like life itself, is a mathematical game played by Hunab Ku, Giver of Unified Measurement. Teotihuacan is a monument to mathematical truths that unify Space and Time, as well as truths beyond space and time.

In order to reach this conclusion thousands of conversions were made to map the “Ceremonial Zone” in Standard Teotihuacan Units (see p.ii, above.) The first technical paper (September, 1974,) confirmed there are repeating distances. Of 127 factors of 9! tested, 56 are principal dimensions. Tabulations 1 and 2 (p.4) present some of these statistics. All twelve dates of Mayan Long Counts for the spaced 4,800 Saturn orbits are linked to five counts of factorial nine: 1,814,400 days. In Mayan format: 18 144 00. Underlines show STU dimensions marked at Teotihuacan. Registered Mayan Long counts are whole numbers that can produce the six-digit factorial 9! They also fit higher values of factorials. This supports the conjecture that 9! was the mathematical base for Teotihuacan’s architecture. Page 3 is an explanation of map accuracies, a summary of salient points in Mayan Treasure. Students are invited to review the construction of a Mayan Multidimensional Matrix (Section III, Part 4, pp.12-14.) The map of Teotihuacan (1998) in Standard Teotihuacan Units (STU) of 1.0594(6)…meters, was redrawn from data accumulated between 1974 and 1998. The majority of these dimensions appeared in the Sept. 1974 technical paper (listed under Section I, p.23, A Mathematical Analysis of Teotihuacan, Bibliography. Also see p.iii, with map, above, in this Section.)

=0000=o=0000=o=0000=o=0000=o=0000=o=0000=

-- 2 –

Harleston Teotihuacan’s Mathematical Baseline – Supplemental Clarification

The Mayan Treasure Project is research of dimensional data published between 1974 and 2006. Principal parameters of measurements at Teotihuacan were presented in A Ma-thematical Analysis of Teotihuacan, 1974, with minor corrections in subsequent publications. It is pertinent that topographical maps made by Mexican Government Survey Studies were machine-corrected from aerial photographs (scale 1:50,000.) Linear dimensions on the Teotihuacan high plateau are shown plus or minus 50 centimeters. Rounding of these data obeyed my policy of not exceeding the accuracy of the maps. Field confirmations were made with steel tape, and defined in many cases by cut stone dimensions, including smaller sculptures that give the base unit of measure: one meter, 5.94(6) centimeters, or namely 1.0594(6) meters ( = 3.476 feet.) The data included maps made by the Mexican Defense Ministry on a scale of 1:2,000 that present contour lines for elevations plus or minus 50 centimeters. These maps were obtained from the Interamerican Geodesic Service (IAGS) in Mexico City. The IAGS also provided geographical coordinates from U.S. Defense Mapping sources, Washington, D.C., for the bronze plate on the southwest corner of the fifth body of the largest pyramid, assigned the name of “Sun” pyramid by the Mexican Institute of Anthropology and History (I.N.A.H.) Naming has been Aztec (the Nahuatl language,) not Mayan. Coordinates were corrected by steel tape measurements to the center of the sixth “body,” a formless lump of stones and mortar refilled by I.N.A.H. It was not possible to define the sixth structure, although paintings by Mexican professional J.Velasco had in the 19th century demonstrated that there were six stages, not four. Corrected coordinates were published in a technical paper I presented in 1976 at the Congress of Americanists in Paris, France, to define the center of the Great Pyramid with an accuracy of plus or minus 0.08 seconds of an arc Latitude and Longitude: viz., North Latitude 19 degrees-41 minutes-30.8285 seconds; West Longitude 98 degrees-50 minutes-35.8122 seconds. (See Section I, Bibliography, A Probable Geodesic… System…Tepoztlan, Harleston, et al, 1976, Note 9, p.8.) The center is defined within plus or minus 2.5 meters. Coordinates published by the Official Map (Rochester Univ./University of Texas Press, 1973) are N.19d-41m-30s and W.98d-50m-30s, obtained by graphical approximation without GPS. They show a point that lies 25 meters to the south and 179 meters east of the vertical centerpoint of the Great Pyramid. Even today GPS for civilians does not permit the accuracy enjoyed by the Defense Departments of Mexico and the U.S.A. These notes emphasize that the mathematical model of the Ceremonial Zone is supported by evidence in stone and by reliable data that has not been arbitrarily molded by subjective thinking. Comparison with data from Greece, Egypt and nine other world locations has borne out the conjecture that in the remote past a high technology civilization could have been a reality on this planet. Students are invited to evaluate correlations in Mayan Treasure with critical review. Hugh Harleston, Jr. Tijuana, B.C., Mexico, November, 2005 [edited 10-august-2006]

-- 3 --

Harleston Teotihuacan’s Mathematical Baseline

TABULATION 1. TABULATION 2. FACTORS OF 9-FACTORIAL FACTORS OF (5) x 9-FACTORIAL 362,880 1,814,400 Space and Orbital Counts Counts of 400 Saturns

Divisor Factor Divisor Factor Long Count Multiplier x 9-factorial 2 x 181,440 3 x 120,960 4 x 90,720 8 x 45,360 16 x 22,680 18 x 20,160 20 x 18,144 24 x 15,120 36 x 10,080 48 x 7,560 63 x 5,760 72 x 5,040 96 x 3,780

126 x 2,880 144 x 2,520 162 x 2,240 189 x 1,920 216 x 1,680 252 x 1,440 360 x 1,008 378 x 960 504 x 720 720 x 504 756 x 480 1,512 x 240 2,268 x 160

12.12.0.0.011.11.0.0.010.10.0.0.0 9. 9.0.0.0 8. 8.0.0.0 7. 7.0.0.0 6. 6.0.0.0 5. 5.0.0.0 4. 4.0.0.0 3. 3.0.0.0 2. 2.0.0.0 1. 1.0.0.0 ---

5 x 9! 55/12 x 9! 25/6 x 9! 15/4 x 9! 10/3 x 9! 35/12 x 9! 5/2 x 9! 25/12 x 9! 5/3 x 9! 5/4 x 9! 5/6 x 9! 5/12 x 9! --- ---

NOTES: Tabulation 1. (1) Thirteen relatively small dimensions and thirteen larger dimensions selected as divisors, are significant repeating modules given in the “Ceremonial Zone.” (2) All divisors are Teotihuacan’s dimensions in STU of 1.0594(6) meters (3) Factors include 1/10th of earth’s scale model volume; model area of 45,360 sq. STU; 1/10th the time in days for 12 counts of 400 Saturn orbits; Jupiter’s synodic orbital count (720 x 399 = 287,280 days) to cross one-third of the Zodiacal circle; and one-tenth the day-count (151,200 days) for 400 Saturn orbits of 378 days. NOTES: Tabulation 2. (1) Twelve time counts, multiples of 400 Saturns (151,200 days,) are whole number factors of five times 9!, or 1,814,400 days, which is also 10! divided by two. (2) We see here the same values for each Long Count. The first number is multiplied by a Baktun of 144,000 days; the second number by a Katun of 7,200 days) shown in tabulation Fig.5, p.16 of Mayan Treasure, Section I, April 12, 2000. This correlation was recognized Sept.1, 2005 [edited 10-august-2006.]

- 4 –

Fig. 1 Mural named “Plumed Shells”

Palace of “Quetzalpapalotl” - Teotihuacan Four sets of bars and dots of 378 are 1,512,

the perimeter of the Great Quadrangle of Saturn -- 5 --

SECTION V – Part 2 PRIME NUMBERS AND FACTORIAL LIMITS

My first technical paper (A Mathematical Analysis of Teotihuacan (1974, Bibliography, Section I, p.23)--presented a theoretical map that registered prime numbers in four orientations. Some of these primes appear in Tabulation 3. Publication (1984) of The Keystone corrected minor errors in the 1974 map. It was important to see that four western platforms of the “Citadel” were centered on 108 STU. These platforms were spaced 54 STU center-to-center, a total of 162 STU (3x54,) a measure shown also at the Great Pyramid and the “Moon” pyramid. The sequence 108—162—108 (= 378) suggests a Mayan expression: “OX PAK,” that means “between two numbers,” or “doubles.” Three 54’s becomes “OX-MUK” or “OX-P’EL” meaning “tripled.” Another example is at the “Moon” pyramid, with its first adosado, each 8 STU (a Jupiter orbital corrector) vertically, a triple 8—8—8. This led to a series of Mayan words that define positions of similar quantities, to be detailed in Section VI, 2006, with reasons why a reexamination needs to be made of the Maya-Quiché sacred book – the Popol Vuh – that may reveal why current theories describing “mythological twins” are only partly acceptable. The book was translated by specialists who apparently ignored Mayan mathematics and astronomical wisdom, not to mention the Mayan passion for multiple meanings. The Popol Vuh is a combination of both kinds of knowledge. A limited vision can convert mythology into religion, and overlook mathematics that explain astronomical physics. I propose that a corrective translation may demonstrate this. H. M. Calderon found that the Chilam Balam of Chumayel, classified by others as a semi-mythological work, was in reality a three-level star register, that not only presents a second-level problem but on a third level provides solutions with Mayan synonyms recognized by Calderon. The text reveals double and triple meanings. Domingo Martinez Paredez explained double meanings of words pointing to non-verbal realities as well as to astronomical events such as solar and lunar eclipses, that were registered with high precision in the Mayan Dresden Codex. The importance of the prime “59” is that this factor is required for the first eclipse count of 9,204 days = 59 x 13 x 12 = 177 x 52. The second count is 1,424 days = 16 x 89 = 178 x 8, or a sum of (177 + 1) x 8. The third count is 36 x 37 = 1,332 days, the distance in STU from the center of the Great Pyramid to the south side of the last wall, lying 18 STU beyond the “Citadel’s” apparent termination. The 1 STU wall was excavated in 1986, ten years after I made a map based on soundings registered in the ‘60’s [edited 10-august-2006.]

6

Harleston Prime Numbers and Factorial Limits Triple eclipse counts are the elapsed days between repeating eclipses. They sum 11,960 days, a count also found by multiplying 520 by 23, another prime number. The distance from the E/W centerline of the Great Pyramid to pyramidal ruins that are on the Avenue, partly restored in the ‘60’s, is 520 STU. The spacing of 177 STU, or 3 x 59, is given by the eight platforms in the Citadel. A repeat use of the prime is also shown at the west side of the Citadel: 207 + 324 = 531 = 9 x 59. Mayans registered eclipse counts in the Dresden Codex. They show multiples of 177 days (59 x 3) as well as 148 days (4 x 37) a distance marked by the first wall crossing the Solar Avenue. The crosswall at that distance is 8 STU wide, so that the north edge marks 144 STU and the southern edge marks 152 STU, a “Jupiter” number, because it is 8 x 19. The only planet that requires the number “19” has a seen-from-earth orbit (the synodic) of 399 days: 21 x 19. The exact Jupiter synodic orbit was known to Mayans by waiting 8 orbits before subtracting one day. Division by 8 of [(8 x 399) – 1] = 3,191 / 8 = 398.875 days. Jupiter returns now in 398.877 days. We are indebted to H.M.Calderon for deducing this and finding the table for Jupiter in the Dresden Codex. We are also grateful to Daniel Flores of UNAM-Astronomy Institute for modern corrected orbits, both synodic and sidereal, of all the planets. We can now safely say that exhibitions of 8 STU may be reminders of the “Jupiter Number.” Factorial Limits For increasing values of factorials beyond 16! it is conjectured that Mayans were able to handle any factorial, since their art and sculptures present the number “1,512” (Fig.1, p.5, Part 1, above) equal to four sides of the “Quadrangle of Saturn” of 378 STU. 1,512 can be a divisor for any number that is larger than 8-factorial. It is possible that Mayans handled any desired prime. They could arrive at its value by repeated additions. Mayan dimensions illustrate the use of multipliers that identify significant primes (e.g., 23, 29, 31, 37, 41, 43, 53, 59…) until 208 solar triple eclipses of 11,960 days are recognized as the motif of the four-paneled patio of Teotihuacan’s Palace of Falcons (“Quetzalpapalotl”?) whose product of 2,487,680 days = (4 x 52) x (23 x 520.) Divided by 6! x 9 x 13 (which is 720 x 117, i.e., the Jupiter orbital multiplier and the pre-Columbian value of Mercury’s synodic orbit) we get 29.5308642:

29.5308642... the moon’s synodic orbit, carved in stone at Palenque as 81 Moons are 6 Tun, 11 Uinal, 12 K’in = 2,160+220+12 = 2,392 days; 2,392 / 81 = 29.5308642… Registered in the Dresden Codex; 405 moons are 11,960 days: 29.5308642 days per reappearance. [edited 10-august-2006]

7

Harleston Prime Numbers and Factorial Limits

TABULATION 3 Selected Prime Numbers in Teotihuacan Dimensions – STU, from the 1974 map

NORTH TO SOUTH NORTH TO SOUTH NORTH TO SOUTH

111 = 3 X 37 126 = 3 X 42 135 = 3 X 45 150 = 3 X 50 162 = 3 X 54 189 = 3 X 63 243 = 3 X 81 135 = 5 X 27 215 = 5 X 21 1125 = 5 X 225

343 = 7 X 49 504 = 7 X 72 66 = 11 X 6

396 = 11 X 36 693 = 11 X 63 195 = 13 X 15 936 = 13 X 72 207 = 23 X 9 87 = 29 X 3

558 = 31 X 18

111 = 37 X 3 148 = 37 X 4 222 = 37 X 6

1332 = 37 X 36 86 = 43 X 2 129 = 43 X 3 282 = 47 X 6* 472 = 59 X 8** 1314 = 73 X 18 801 = 89 X 9

NOTES: Spacing of three eastern platforms in the Citadel, each 22 sq. STU, from N. to S. is 141—96--141 =378 STU. Average distance of earth orbit to the sun is 141.4 millionKSTU, the square root of 2x100. Orbit diameter is the square root of 8 = 282.8 million KSTU. 282 = 6x47 perhaps a coincidence perhaps not. If earth orbit were 96 STU, then Mercury =36; Venus is 72; Mars 144; Asteroids 288; Jupiter 520; Saturn 945; Uranus=1845; Neptune is 2880; Pluto is 3780 (“Citadel” dimensions, plus N. to Cerro Gordo.) [edited 10-august-2006] **Note the eclipse multiplier times 8 is given by the centerline of the fourth wall south of the Great Pyramid E/W centerline: 472 STU = 8 x 59.

Selected Prime Numbers in Teotihuacan Dimensions – South to North (1974) 396 = 11 x 36; 989 = (19 x 52) + 1; 207 = 23 x 9; 1184 = 37 x 32; 1332 = 37x36; 639 = 71x9; 774 = 43x18; 860 = 43x20; 531 = 59x9 Prime Numbers – East to West West to East (1974 map) 48 = 3 x 16; 72 = 3 x 24; 108 = 3 x 36; 3 x 42 = 126; 3 x 54 = 162; 225 = 3 x 75; 225 = 5 x 45; 378 = 7 x 54; 3 x 48 = 144; 3 x 63 = 189; 231 = 11 x21; 222 = 37 x6; 333 = 37 x 9. 13 x 9 = 117; 23 x 9 = 207. Reference Map is Fig.5-A, p.28A, A Mathematical Analysis of Teotihuacan, by Hugh Harleston, Jr., Sept. 1974, presented at the XLI Congress of Americanists, Mexico City. Deposited Library of Congress, Washington, D.C. and Fondren Library, Rice University, Houston, Texas. Also see Harleston, H., Jr., The Keystone: A Search for Understanding, Character Composition, Bellaire, TX, 1984, pp,123, deposited Library of Congress, LOCCN 88-117575 and Fondren Library, Rice University.

8

Section V – Part 3

MAYAN DECIMALS?

A frontier research project rejects presuming to “know.” If the universe were known there would be no speculative research. We conjecture that some time in the past at Teotihuacan there were several Balam, illuminated wise persons, on the order of a Davinci, an Einstein, or a Newton (a DEN of jaguars,) personifying the noble characteristic of innate valor, the courage to be that which it is, a human born free of fear. We believe there also were X’Balam: intelligent evolved women. Their inherited mathematical capacities could have been beyond belief. Such savants could talk among themselves but not with others, not with beings whose genetics, prejudices or preparation deny them access to the rarified atmosphere of specialized numerical relationships. Mayan formats suggest that the use of decimals could have been top secret information. In the past it was customary to assume that the only rudimentary mathematics that Mayans “must have known” was multiplications by the number “20.” This image was generated by ignorant invaders of Mexico who, like Goebbels under Hitler, bragged that the bigger the lie, the more the masses would believe it. An example of modern belief is that the number 1,814,400 is seen as one million, eight hundred fourteen thousand, four hundred. This has been created by pedago- gical sophistry. 1,814,000 can also be written eighteen – one hundred forty-four – zero zero: 18—144—00. A number like 362,880 (= 9!) can be expressed by first one thousand Tuns of 360 days; i.e., 360,000. We add two thousand, and obtain the sum: 362,000. Next we add 800, and finally 80. The total becomes 362,880. There is no reason not to show 36—288—0; i.e., thirty-six, two eighty-eight zero. There are STU dimensions that show us 36 & 288. There are 36-spoke wheels. An intriguing correlation: the Platonic “Year” is 12 cycles of 2,160 years. But which “year”? Was it a Mayan Haab, the count of 365 earth revolutions = “days?” Astronomers call this a “vague” year. The product of 365 x 25,920 is 9,460,800 days. This can be 94—60—80—zero. Two-thirds of the cycle = 6,307,200 days = 17,280 vague years. A British cubic foot is 1,728 cubic inches, 12 cubed. The day-count time period can be said to read 63—zero—72—zero zero. Some ancient sources believed this was the time between planetary disasters. If that were the case the last destruction or change of earth’s surface may have been 17,280 years before 2,137 A.D. The date becomes 15,143 BCE, a possible great flood. But it could have been an evolutionary transformation, a planetary “uncovering” of new psychic capacities of humanity. A “universal” flood may have been confined to the “known” world of antiquity. The surprise is when we look at multiples:

[edited – 10-august – 2006] 9

Harleston Mayan Decimals? ___17,280 “years”__ Multiples (days)___

x (365) = 63 0 72 00 x 2 = 126 144 00 x 3 = 189 216 00

x 4 = 252 288 00 x 5 = 315 360 00 x 6 = 378 432 00

Major parameters of STU dimensions at Teotihuacan are now visible. This tells us that ancient memories could have been mythologized as time periods in code, and do not necessarily refer to “planetary disasters”at all. Was this methodology to trans-mit mathematical relationships that could have other truths to express? Factors of the Platonic “Year” can give us new “eyes” for the same landscape: FACTORS OF 25,920 36 x 720 48 x 540 96 x 270 216 x 120 288 x 90 ___ (see drawing Parthenon Section III) 72 x 360 144 x 180 576 x 45 ___”Citadel” – platforms 24x24 STU 2160 x 12 ___“Tunnel” under Mexico’s Pyramid 2880 x 9 ___ Elevation atop Cerro Gordo in STU 4320 x 6 ___ Life of Brahma / Creation Number 6480 x 4 ___ (see drawing Parthenon Section III) The first five are the basic design parameters compared with the Parthenon in Section III (cf. Part 3, p.7 & pp.20-22.) To these dimensions add the number “6,” the basic “creation number,” (as in “six days…”) The second set of three factors are given, as well as the multipliers in the right-hand column, in the “Citadel.” The last four numbers are Pythagorean Diatonic Units (Athens, p.22, Part 3, Section III.) Question: “Did the Pythagoreans have access to secret mathematical information independently transmitted to Mayans via differing routes of genetic inheritance?” It is well known that a Pythagorean was sworn to secrecy on pain of death by suicide if any coded secret knowledge were made public. Was this the case in, say, 630 B.C., probable date of the first (the “Moon”) pyramid, Long Count 6.6.0.0.0? Other examples suggest the possibility that Mayan architects incorporated a knowledge of decimals. Long Counts (7,200--144.000—1,872,000…) are multiples of ten, 100, 1000. The format illustrated above (17,280 “years”) indicates a possible code to handle sequenced decimal numbers in their monumental designs. Our future research will be looking into this question. [edited 10-august-2006] 10


REDUNDANCY CUBED In Section I, 2002 repeating dimensions were pointed out: 144, 162, 216 and the major parameters: 378, 756 and 936 (see map, p.ii, above.) Section II, 2003 shows that a basic key number 1,512 repeats as a factor 36 times as a count of universal spheres in “numerical arks.” The repeating use of 3 and 9 as factors for planetary synodic orbital counts also appears in Section I. In 2004, Sect. III presents additional repeating dimensions: 231, 288, 312, 462 -- as factors of factorials up to 16! There are only two platforms 18 by 18 STU as well as two 20 by 20 STU. Archaeologist S. Sugiyama excavated the first square structure at the baseline level inside the “Moon” pyramid. It was 21 by 21 STU, the Jupiter multiplier (21 x 19 = 399.) Mayans had words that mean a triangular presentation. Others show a number between “twin” numbers. See the “Citadel,” Fig.2, below, (also see Sect.III, Part 3, p.10) A number between twin numbers is the sequence 108—162—108 = 378 STU, the spacing of the four western platforms. 351 STU east of zero reference are three platforms, each 22 STU square. The spacing between the centers of the platforms is the sequence 141—96—141 = 378, marked in green to enhance those numbers. At 228 STU east of the zero reference line, another twin number in the patio width of 222 STU was marked: 81—60—81 = 222. To illustrate a triangular presentation, on my 1984 drawing the inner patio of 222 STU has a staircase on its western wall that measures 30 STU. The sequence here is 96 –30 --96. The three eastern platforms mentioned above are separated by 96 STU. A triangle is formed: 96—96—96 whose sum is 288. The “Citadel’s” north, south and east walls are 72 STU, whose sum is 216. These combinations were not seen when dimensions were mapped in the 1970’s and 80’s. Triangular numbers were recognized Oct., 2005 when a search began with dimensions recorded at locations other than the Citadel. On the “Sun” pyramid, there are three staircases: two on the 2nd body (height 15 STU) each with 49 steps, and one on the 5th body (height 9 STU) with also 49 steps. When outer characteristics were damaged by reckless removal of material by Leopoldo Batres in 1906 to 1909, the southern staircase was patched without today’s archaeological restoration procedures. It appears that the southern staircase was guesswork. By the time the fifth body was conserved, Batres retained its staircase at 49 steps over the inclined face. The other, twin staircase is obviously guesswork. [edited 10-august-2006.]

11

Harleston Redundancy Cubed The title for this part of Section V has been selected to show that triple combinations repeat, but are not necessarily superfluous. Further triple combinations are at the “Moon” pyramid. The main body has three heights combined: 11, 12 and 9 STU. The first two total 23, the eclipse multiplier. Plus 9 = 32 STU, the number 2 multiplied by itself four times (two to the fifth power.) To the south, three additions are each 8 STU in height, a triple number, 24 STU vertically, 8—8—8. We see 32 behind 24 behind 16, and a front staircase of 48 steps, each one-third STU (35.3 cm.) The second addition is five bodies totaling 16 STU. It seems significant that there are only two principal heights of 16 STU: the pyramid in the “Citadel” with six bodies, and the add-on at the “Moon,” described here. If this information comes from an ancient high technological civilization, then other correlations surface. Oxygen can transmute to sulfur, at the atomic level. O2 is atomic weight 32, two O-16’s. This splits to two atomic oxygens, that recombine at the nanocapillary level in the human body to Sulfur-32. This is not alchemy. It is recent modern science speaking to us, suggesting that we might be able to use non-verbal disciplines for transcendental contact with beyond-the-speed-of-light consciousness. There are overlapping numbers that add to the same sum. The 1984 drawing in Section III, Part 3, p.11, is repeated below as Fig.2A, p.13A. At the “Moon” pyramid’s vertical centerpoint, the distance from the north limit is 216 STU. This is followed by 288 STU, formed by three demarcations of 96 (the same triple number in the “Citadel,” mentioned above.) From there to the next demarcation is also 216 STU. This overlapping design shows us 216 + 288 = 504, that repeats as 288 + 216 also equals 504. However, “504” times ten has nothing to do with “Plato’s favorite number.” It has everything to do with 7! = 720 x 7. 720 STU is the spacing between the two largest pyramids, today named in Aztec as “Moon” and “Sun.” Here is a double-overlapping design. The sum of 216 + 504 = 720; and from the north limit to the E/W centerline of the “Plaza of the Columns,” is 432 + 288 = 720. Let’s look again and see that 288 STU defines the centerpoint of the “Moon” pyramid to the E/W centerline of the “South Complex,” west of the auditorium (now unused) for visitors to see a Light and Sound Show in times gone by, surrounded by shops with tourist trinkets today. The intricacy of the Mayan design is indeed stunning. There are other overlapping configurations, but now let’s move on to other vertical correlations in Part 5.

13


VERTICAL VISIONS

19thcenturyMexican professional painter Jose M. Velasco was internationally recog-nized for his painstaking realism. His paintings of plants were used for teaching classes in botany. His landscape* of the Teotihuacan Valley, painted at age 38 in 1878, was to become a national treasure in Mexico’s Museum of Modern Art. It clearly confirms that the grass-covered man-made “hill” was built with six stages. 20th century archaeological speculators tried to show that the Great Pyramid had only four bodies. Let’s remember Benedetto Croce: the artist sees the landscape; the rest of us surmise what the landscape ought to be. That fourth body has its own history. Let’s go back to 1906-1910. When Batres saw his error in trying to destroy a supposed covering on the first three bodies (evidenced by remains of “buttresses” seven meters, three meters, and on the third body a meter thick,) he mortared the fourth and fifth stages in place, to make sure original stone overlay was conserved. Somebody later imagined that the fourth stage “must have had” a giant “talud and tablero” built atop it. A graduate thesis proved that the addition would have collapsed under its own weight. Later opinions cited Velasco but it is clear today’s observations were subjective, not what was there in 1878. Archaeologist Evelyn Rattray went into the tunnel on the east side of the fifth body and turned south. She found inside the structure, on Teo-tihuacan north/south, an inclined wall that had the same angle as the exterior fourth stage. At that time, it had not been established that Teotihuacan’s design was com- memorating repeating mathematical relationships with Mayan dimensions. Below is a photograph (Fig.3) of the first pyramid, “Moon,” possibly started 630 B.C., Mayan Saturn count six: 6.6.0.0.0, 12 Ahau, 18 Mol, tabulated Section I, p.16. Five bodies are on the 1984 drawing, Fig.12, The Keystone. It is unmistakeable that the fourth body is the same configuration as inside the 5th body, the Great Pyramid, confirmed by Rattray’s work. Based on this, I predict (see Part 6, below) that a similar structure could be found inside the “Moon.” Mayan dimensions were neither haphazard nor irrational. A reexamination was made of vertical measurements. First the “Sun” pyramid may have been dedicated to Jupiter and Hunab Ku. The zeroth level is under the structure at 2,160 STU above sea level, established by surveyors’ contour maps. The slightly inclined floorline is at 2,288.4 meters. Above it, outside is an apparent base, at 2,166 STU, and is not approximate. Excavation (1980’s) proved an original mortared floor was �eveled at 2,294.8 meters = 2,166 STU. *Published in Nov./Dec. 2005 issue of Archaeology, under 100 Years of Excavation at Teotihuacan. [edited 10-august-2006]

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Harleston Vertical Visions (contd) The first body may be one-third underground and two-thirds above, total 18 STU. Only 12 STU are visible. Three theoretical corners have not yet been explored. The next body height is 15 STU if original material were replaced. The staircase has 69 steps, 3x23. The 3rd body is 12 STU, with two staircases, each with 49 steps. They suggest that on ascending the north side, plus repeating the same count on the fifth body, the total is 98, marking the days of Venus’ disappearance in front and behind the Sun, a count Mayans used even though they knew that it has variations. As Morning and Evening star Venus counts 486 days, a significant number: 6x81 (see Sect.III, Part 6A, pp.23, footnote (4) re relation of this number to Egyptian design.) On descending from above 49 steps are followed by 49 on the south staircase, this time representing the years in three triple solar eclipses, counts also given by dimensions in the “Citadel” (Part 2, p.6-7.) On the fifth body, 9 STU in height, 49 steps suggest: 9x49 = 441, which is 21 squared. “21” is the Jupiter/Saturn lag time, 7 times 3, two basic multipliers found in sacred texts worldwide. The third body height of 12 STU generates: 12 x 49, equal to 588. This, too, “contains” the Jupiter/Saturn key to orbital separations, as the product of 21 times 28 also equals 588. The number of falcon profiles on the columns of the “Quetzalpapalotl” Palace are precisely 28, the days in a stellar constellation month. 13 constellations are a circle of 364 days, a Mayan stellar year, commemorated at Chichen Itzá by four staircases having 91 steps per side on the pyramid. At the fourth body, there is an apparent paradox. This stage is six STU high, divided into 4 STU below and 2 STU above. The ascent, however, is 3 STU in eleven steep steps, obliging us to turn and go up at an angle towards the south. As we cross over the other 3 STU the staircase only has nine steps. They seem to be easier, due to the lower ascent angle. In reality, they are larger. Here mental habits can make us imagine that we are using less energy. But my body, turning north to angle up the nine steps can sense that there is a special message on these twenty steps. The message seems to be that by being aware of the experience another dimension has been added to the intellectual count being shared with myself as I ascend. The fourth body is a reminder of the Mayan multidimensional multiplier: the number “20.” As mentioned, the fifth stage is at a new angle, and has 49 steps = 7 x 7, seven squared. In 1947 the 6th body was a formless mass, with grass growing over a semi-excavated hole at its center. The material could have formed a platform 18 by 18 STU by 3 STU high. That would make it the third platform this size, with one in the “Citadel” patio, a second to the south of the “Moon” pyramid, a ceremonial room [edited 10-august-2006]

15

Harleston Vertical Visions (contd.) with nine altars (see Fig.3, below,) partly reconstructed in the 1960’s. Its roof was supported by a statue 3 STU in height, called in Aztec a “Moon Water Goddess,” whose head had sculpted rectangles, like bricks to support a ceiling. There was no tenth altar, even though the archaeologists created one out of entirely new material. But a building 19 meters across, over three meters high, requires a support in the center or it falls down. That support was moved to the old museum by Batres. Let’s follow the vertical sequence of the Great Pyramid’s bodies: 6 below, then 12—15—12, then 6—9—3 STU. I laid those verticals out in 1974, shown in detail in The Keystone in 1984. Multiplications were intriguing: 12 times 15 = 180; 180 times 12 = 2,160; then, times 6 = 12,960 … a number seen in Egypt: around the world in Geographic Cubits = 129,600,000. Next 6 x 9 = 54; 54 x 3 = 162; 12,960 x 9 = 116,640; 3 times 116,640 = 349,920. And 349,920 = 108 x 108 x 30; = 144 x 30 x 81; = 162 x 216 x 10; = 405 x 864; that is, a square 216 STU per side. Is this marked below the Great Pyramid? Perhaps Mayans decided to leave underground in the mind of the observer. Mayan logic lets us see that from the zero reference to the top of the sixth body is 3+6+9+12+15+18 = 63 STU. The top would have been at level 2,223 STU, and the summit was said to have had a legendary building that might have been 9 STU, the number of Hunab Ku. Total height would have been 9x8=72 STU at elevation 2,232 STU. The terrain drops by 9 STU, so at the Citadel the patio elevation is 2,151 STU above sea level, and the No.3 pyramid’s rooftop would have been at 2,172 STU.

The overall vertical design would have been 81 STU: nine times nine: 9 x 9 Let’s now review the factors of 2,232 = 2,160 + 72, total elevation of the Great Pyra- mid: 2 x 2 x 558 = 4 x 18 x 31 = 72 x 31. We are convinced this was planned, not chance. The prime number “31” appears elsewhere. But it is also connected to our anatomy: there are 248 bones to support the body’s architecture, i.e., 8 x 31; there are 31 double nerve connections at the central nervous system, i.e., 62, a Mayan dimensional factor on the Solar Way. If there had been a high civilizations on the planet in the remote past, this type of information could have been transmitted through genetics to any and all survivors of any and all planetary disasters. What about the reconstructed “Moon” pyramid?” Original drawings of profiles were given to me by Archaeologist Ponciano Salazar, who was in charge of the 1960’s restoration. Published in Mysteries of the Mexican Pyramids, 1976, p.246 they show that lines used by Salazar and Jorge Acosta followed stonework evidence.

16

Harleston Vertical Visions (contd.) Dimensions were close to actual field measurements in the files of I.N.A.H., Mexico City. Logical correlations suggest that the 2nd adosado on the pyramid could be 49 STU wide (7x7) instead of 50, possibly due to the 1964 rebuild having an excess of mortar across the staircase, almost 52 meters (49.1 STU) east to west. Initial construction of the “Moon” is still undated. The five-body pyramid (Fig.3) is at a base level of 2,181 STU above sea level, checked against the best maps. The first body height, 11 STU (final construction,) was estimated by official archaeology to be approximately 200 B.C. My Fig.5-Section I, Tabulation dates 7.7.0.0.0 – 9 Ahau, 8 Mac as July of 216 B.C.E. The second stage, 12 STU, totals 23, the eclipse multiplier: 23 x 520 = 11,960 days, three consecutive eclipses. The third stage was a vertical 9 STU, a total of 32 STU at elevation 2,213 STU. Multiplication of 11 x 12 = 132, a number repeated at the “Sun” and in the “Citadel,” to mark the vertical centerpoint of the No. 3 pyramid. The next stage is the fourth body, a configuration that reappears on the “Sun” pyramid. It is 6 STU in height, divided into 4 STU and then 2 STU. The angles of the 2nd and 3rd stages (E to W) give the maximum elongation of the planet Venus: 47 degrees with respect to a sightline to the sun from our orbit. The angle whose tangent is 1.05946, twelfth root of the number 2, is 46.65 degrees. Above is the 5th stage, 4 STU high. The sequence is 11—12—9—6—4, ending at elevation 2,219 STU. These total 42 STU, versus the Great Pyramid at 63. In the “Citadel” the pyramid was 16+5 = 21 STU. The three largest structures express the first triad of Jupiter/Saturn lag times: 21, 42, 63 days: with planned architecture. Every combination is a dimension at Teotihuacan. Example: 9 x 11 = 99. There are 99 moons during 8 earth vague years, or 5 Venus cycles of 584 days. Mayans used this frequently. On the columns of the “Quetzalpapalotl” Palace are feathers showing nines and elevens. Remember 9 and 11 steps on the 4th body of the “Sun?” Additional planning: 12x11x9 = 1,188 = 11 x 108; then 1,188 x 6 = 7,128 = 33 x 216; then 4 x 7,128 = 28,512 = 32 x 891 = (8+8+8+8) x (9x99) or 16 x 2 x 11 x 81. Every underlined number is an STU dimension, many repeating in four basic areas: the “Moon,” “Sun”, “Citadel,” a “Street of the Dead” that perhaps was a “Solar Way.” More Mayan logic. The summit of the “Moon” becomes elevation 2,223 STU to match the “Sun” pyramid 414 years later (see p.15.) I propose there was a triple building in three sections, rectangular, height 3 STU, bringing the elevation to 2,226 or six STU below a future Great Pyramid. The factors are: 6 x 7 x 53, a prime seen [edited 10-august-2006] 17

Harleston Vertical Visions (contd.) elsewhere. 6 x 7 = 42 to reconfirm the five-body height, a multiple of the Jupiter/ /Saturn lag time of 21 days. Topography and drawings of fallen stone pieces at the “Moon” plaza were carried out by Geodecist Alfonso Rangel R., later forced to move from the high plateau of Mexico to Durango, for reasons of heart problems that eventually ended his stay on this planet. He informed me that original staircases up the “Moon” pyramid’s south face were wider at the top, traced out by archaeological remains. He tried to have the archaeologists use guide ropes and rebuild the staircases with the original design. Perspective would have caused the lines to appear parallel as the distance became greater. His request was ignored. Instead straight-line guide strings were used. Superior Mayan engineering was obliterated. I hope later (Section VI, 2006) to detail Rangel’s work at Tepeapulco. He believed, as I do, that Mayans knew how to calculate the azimuth angle for Venus at maximum elongation, and placed stone field markers after calculating their locations. Another subtlety: when standing on the 20 by 20 STU platform, 192 STU south of the “Moon’s” center, I observed the southern face of the pyramid. I knew that the staircase height is 16 STU. Behind it are three 8-STU bodies (Fig.3) for a proportion 24 to 16, or three-halves. My eyes, however, and the illusion of perspective, told me that the relationship of the triple-bodied first adosado to the 5-bodied second adosado seemed to be a proportion of 5 to 4. Which should it be? A strange feeling invaded my divided mental state. A different awareness of my awareness answered: “Both answers are correct.” Did Mayans know this? I be-lieve that they did. A third checkpoint is No.3 pyramid in the “Citadel”. Foundation footprints on the sixth body established the top building’s design. The elevation was 2,172 STU, lying 60 STU below the “Sun.” 60 STU, a logical number: one side of the pyramid itself. The area of its base is 60 x 60 = 3600 square STU, 3,600 synodic orbits of Saturn that, on the tabulation of the 400’s counts 1,360,800 days = 60 x 60 x 378, to mark 9.9.0.0.0—3 Ahau, 3 Dzootz, i.e., June 11, 613 A.D. Perhaps some day an engraved stelae will be found at the Citadel with this inscription. If not found, then researchers may find columns that have vertical designs from below to above that count 9, then 9, then blank, blank, blank. Columns at the “Quetzalpapalotl” Palace (Falcon Patio) have designs that count from bottom upwards 7, then 7, then blank, blank, blank. That tells us: July of 216 B.C.E. [edited 10-august-2006]

18

Figure 3 The misnamed “Moon Pyramid,” the first construction at Teotihuacan, oriented NE to SW, possibly for observation of circumpolar stars. The final structure had five principal bodies, an addition (1st “Adosado”) with three stages each 8 STU in height, and a 2nd “Adosado” of five bodies with total height 16 STU. The staircase has 48-steps, each 1/3rd STU high. In front, the 9-altar building 18 by 18 STU was 3 STU high. The main body was 144 STU– E/W, 128 STU- N/S = 2 to the 7th power. Aerial photo by Cheryl Harleston

19

SECTION V – Part 6

CONCLUSIONS

(1.) The Mayan mathematical space and time baseline of the Great Pyramids of Mexico at Teotihuacan could be “factorial nine”: 9! = 36 288 0 in Mayan format, or 362,880 in modern display. 1 x 2 x 3… x 9 = 9! Mayan Long Count 9! is 2.10.8.0.0. There could be stelae bearing this or its multiples (see Predictions.) Five times nine factorial is 18 144 00. Conventional display is 1,814,400; i.e., twelve cycles of 400 Saturns (151,200 days,) registered as Long Count 1.1.0.0.0; namely, one Baktun (Niktekatun) of 144,000 days multiplied by twelve; added to one Katun of 7,200 days multiplied by twelve; plus zero counts of 360 (one Tun,) zero counts of 20 (one Uinal,) zero K’in (one day.) 12 x 151,200 = 1,814,400 = 4800 x 378.

(2.) Modern units of length, time and angular rotation are limited. They were apparently not selected as numerical values that can be used for both space and time. Mayans, on the other hand, exhibited multidimensional concepts. (3.) Structures at Teotihuacan are at precision elevations above mean sea level, confirmed by modern maps. This could be Mayan knowhow, or inherited from a previous civilization whose knowledge was conserved genetically or by tradition.

(4.) A scale model of earth reduced 100,000 to one has an averaged circumference of 378 STU = 6x7x9. A rotating earth deforms to an oblate spheroid of axial diameter 12 million STU. This is universal for any sphere assigned an axis of 12 million units. (5.) Mayan measurements are defined by whole number factors of factorials beyond 16! A significant factor is four sides of the “Citadel,” each 378 STU, perimeter of 1,512. (See p.5, Part 1, “Plumed Shells” mural, which registers this key number.) (6.) Multidimensional relationships require an intentionally inexact value of Pi : = (9x7) / (5x4) = 63/20 = 3.15. The mathematical ratio Circumference / Diameter is irrational and generates irrational products. Designs at Teotihuacan repeat 3.15. (7.) Five repeating numbers in the Teotihuacan design are 288, 48, 216, 96, 36, all divisible by “6”; hence, there are six basic numbers. The fact that natural logarithmic base e = 2.718281828… raised to the power 12th root of the number 2 = 1.059463094… produces the number 2.88482169636… leads to the conjecture that Mayans could have known exponentials, and handled advanced mathematics. (8.) Three universal geometric configurations encoded in the numerical/dimensional design of Teotihuacan are:

20

Harleston Conclusions (contd.) (a) A sphere of diameter 6 and radius 3, with area and volume expressed by the same rational number: 113.4 = 3x6x7x9 / 2x5 = 1134 /10. (b) A cube with sides of 6. Square Area and Cubic Volume are 216. (c) A regular tetrahedron of height 12 has sides the square root of 216, its apothem the square root of 162. Its vertex will be the square root of 8; and its height = 2 x 6. The area and volume are 216 times the square root of 3. All underlined numbers are dimensions displayed at Teotihuacan in STU. (9.) 24 factors of 25,920 (p.10, Part 3) as well as 2, 7 & 25,920 itself, are factors of factorial nine. Perhaps Pythagoreans and Plato knew more about factorials than heretofore suspected. What was the source that proclaimed “25,920” as “Plato’s Great Year,” a time-count of reverse rotation of the polar axis of earth, said to be 25,920 “years” (of ?? days?) Conjecture: it was 365 days, the vague year. (10) Based on the significance at Teotihuacan of the twelfth root of the number two, the dogmatic division of light into seven colors is questionable. The wave lengths covered by human sight are approximately 3,600 (violet light) to 7,200 (red light) Angstrom units; i.e., 36 to 72 millionths of a meter. This can be defined by six bands (no indigo or dark purple is necessary) separated by the factor 1.0594(6) squared; that is, 1.122(46)… A rainbow has six colors: red, orange, yellow, green, blue and violet, equally spaced from invisible infra-red to invisible ultra-violet wave lengths. Was “indigo” invented to match traditions of seven “virtues,” seven “sins,” seven “heavens,” seven “pillars of wisdom,” seven “sisters,” ...and other mythologies? (11) Section V studied Mayan concepts of twins (108-162-108), doubles (96–96), (216-216,) triads (72–72–72), triples (8-8-8), overlapping numbers (720 = A+B = B+A); repeats are in four zones. Add: mirror numbers (81–18, or 21–12, or 13–31), and triplets (111, 222, 333,…) Mayan languages have synonyms to show their breadth of thinking. An example is a mirror volume is the half-platform under the Falcon Patio, which measures 3 by 6 STU by 1 STU high, against a wall, originally mirror-surfaced with black obsidian. Reflection gives the complete volume and numbers, shown by single and double oscillating circles (see Section II, Fig.20, p.28, a reflecting telescope in a camara oscura.) Numbers include 4,536 (Jupiter/Saturn conjunctions) and 45,360 (area of a spherical earth model reduced 100,000 times.) (12) Part 5 demonstrates that vertical dimensions were selected by Mayans to show multiples that repeat significant parameters. These supplement the cubic redundancy of Part 4. Magnificent interpenetration of highly complex concepts has been woven by Mayan Halach, bearers of cosmic double truths.

21

SECTION V – Part 6

PREDICTIONS

1.) Internal overlays in the “Moon” pyramid should reveal a dating method to define a beginning at 6.6.0.0.0 = July, 630 B.C.E. and completion of the third overlay: July of 216 B.C.E., seventh cycle of 400 Saturns. If similar to designs in “Quetzalpapalotl” Palace there can be columns that read from below upward: six figures, six figures, zero, zero, zero. “Zero” can be horizontal strips of stone left blank, as on existing columns: 7.7.zero, zero, zero. 2.) For a day-count of 9! of 362,880 days the Mayan Long Count is 2.10.8.0.0. Five counts during the Oxlahkatun that began Sept.13, 3,114 B.C. could mark dates*: 2.10.8.0.0 (= 26 March-2,120 B.C.E.;) then 5.0.16.0.0 (= 07 October-1,127 B.C.E.;) 7.11.4.0.0 (= 19 April-133 B.C.E.;) 10.1.12.0.0 (= 31 October-861 A.D.;) and finally 12.12.0.0.0 (= 13 May-1855 A.D.,) marked with a secret ceremony by survivors. Stelae should be found showing either 2.10.8.0.0 and/or the count of the dates in question. These are: 5.0.16.0.0. = 725,760 days; 7.11.4.0.0. = 1,088,640 days; 10.1.12.0.0 = 1,451,520 days; and = 12.12.0.0.0, = 1,814,400 days, five counts of factorial 9! The 9! count of 362,880 days is 993 solar years plus 195 days. Conjecture: in the “Moon” pyramid there can be a legend or indication of 133 B.C. The pyramid would have been finished for inauguration in 216 B.C.; 83 years later a commemoration was held for the third anniversary of the factorial count. The next Saturn ceremony would have been 8.8.0.0.0, June of 199 A.D., perhaps inaugurating the Great Pyramid’s completion. Excavations in the “Citadel” could reveal Mayan dating of a Saturn ceremony: 9.9.0.0.0, June, 613 A.D., a date registered at Palenque and Copan. Conjecture: that Teotihuacan was still operating in the 7th century. Dates in southeast Mexico indicate a strong wave of recognition of the mathematical prowess at stake. The next 9! date was not until the 9th century: 861 A.D. Stelae should be found at Edzna, Copan and perhaps Mayapan with 10.1.12.0.0. A Saturn ceremony, held at Edzna in June, 1,027 A.D. (10.10.0.0.0) reinstated the use of the 13 Katun count of 93,600 days, and a stelae was erected. This was a well-known event. Researchers are invited to test these conjectures, that new finds could confirm or deny. Dates that might be found on older stelae would be for the earliest Saturn commemorations; i.e., -2,700, -2,286, -1,872, -1,458, and -1,044 B.C.E. (see tabulation in Section I, p.16, Fig.5.) Early material is scarce. This could take years. [edited 10-august-2066] *(chronological constant 584,314 by H.M.Calderon, replaces the erroneous MGT of 584,283 that was appropriated from Martinez & Goodman by E.Thompson)

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Harleston Predictions (contd.) Prediction: there should be evidence that a special ceremonial celebration in southeast Mexico commemorated the twelfth cycle of 400 Saturns. The approximate date would have been May 11, 1,855 A.D., the day of zenital crossing near Latitude 17°North, with participation in locations that included Naranjo (Belice,) Lago Petén, Yachilan and Piedras Negras, Guatemala. Also to be checked by historians are Ocosingo and Tonina, Chiapas; Mitla and Monte Alban, Oaxaca; plus Juxtlahuaca, Guerrero. The sacred ceremony was probably kept a secret, but the magnitude of the event may have been given a publicly acceptable explanation by Mayans. 3.) Eventually there may be confirmation from Greece and Egypt that link the correlations of Jupiter/Saturn conjunctions (every 7,182 days) as well as to tie the information to architectural designs at Athens and Karnak. Recognition of correlated data in India, China and other ancient sites could serve to stimulate more research for whole-number relationships, instead of conventional attempts that use rounding, decimal approximations, or speculative astronomical theories. The numbers should be exactly the same and mathematically on sound footing.

FUTURE RESEARCH Topics planned for investigation in Section VI – 2006:

1.) Mayan vocabulary shows triangular numbers and twin numbers, as well as expressions that indicate that a revision by experts of the translations of the Popol Vuh should confirm that encoded mathematical and astronomical data suggest new interpretations of messages left by Halach.

2.) Detailed examination of the work of A.Rangel on alignments of marked

stones at Tepeapulco, and also his topography at Teotihuacan, explains why the Great Avenue or Solar Way (now named “Street of the Dead”) was oriented 15°-28’ East of astronomical North. The Great Pyramid and western streets are on 16°-34’/106°-34’, one more degree east. Rangel found multiple marked alignments at Tepeapulco, a site for “measuring the year” (Xihuingo in Nahuatl ) that fall on 47°, maximum elongation of Venus.

3.) Examples from squared columns of the Falcon Patio (“Quetzalpapalotl”) to

show dating was 7.7.0.0.0 = July, 216 B.C.E. Examples to be presented of how geometrical designs are Jupiter counts.

4.) Details of calculations, with Mayan logic, of theoretical structures at the

baseline of the original “Moon” pyramid, and alternate stone overlay data. Confirmation should appear as the internal excavations are made public. [edited 10 – august – 2006]

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Harleston Planned Future Research (contd.)

5.) Theoretical reconstruction of the buildings atop the summits of the three major pyramids, using Mayan logic and data from Palenque and Chichen Itza that could indicate the basis for architectural spacings.

6.) Conjecture: the hydrogen fines constant is a quantum ratio of 3700 / 27 =

137.037037037… based on dimensional presentations at Teotihuacan of factors of 37 related to factors of 27, with many examples. Why does ex-perimental physics not find this constant is a whole number value?

7.) A possible method of encoding decimals and long factorials into the design,

utilizing remainders of significant prime numbers given by Mayan architecture. Mayans were proficient in decimals. Did they inherit knowhow that was kept confidential? Multiple displays show ratios of 3.15 for Pi and 1.05 = Pi / 3; hence, other displays might be correlated.

8.) Identify Mayan formats for long factorials; e.g., 18!, 21!, 23!, 29!, 37!, 73!…

9.) Conjecture; relating m-v / m-o (particle mass at velocity v near the speed of

light as compared to rest mass m-o) shows a whole number increase to twice, then 3 times, then jumps to 1,872 at near light speed. Mass values have been found to be related to the sine of the vector angle of the velocity to the speed of light. The basic Mayan design at Teotihuacan is 2 x 936 = 1,872. Was the speed of m-v 99.9999857% of the speed of light, possibly confirmed by recent RHIC high energy experiments with gold atoms? (see Riordan/Zajc, Sci.Am., Vol.294, No.5, May, 2006, pp.34A-41.)

Show calculations of August, 1976 were shared with three other researchers. [edited 10 – august – 2006] Hugh Harleston, Jr. Tijuana, B.C., Mexico May 5, 2006

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BEYOND THE SPEED OF LIGHT

…On the 100th anniversary of its publication in June 1905 by Einstein, a Columbia University physics professor said “…when Einstein realized mass and energy were convertible, getting the exact formula to relate them was a fairly basic exercise, requiring only high school algebra. His genius was not in the math; it was his ability to see beyond centuries of misunderstanding and recognize that there was a connection between mass and energy at all.” This is what happened to Harleston. His detailed studies of Mayans and Great Pyramids of Mexico were after long preparation in disciplines that few are asked to practice. In the U.S.Navy he learned to install, operate and repair confidential electronics – radar, sonar. While training he designed, calculated and built a miniature oscilloscope with a one-inch screen. To finish two degrees in Chemical Engineering his graduate work included designing a water distribution system for cooling towers built by donors of a tower to Rice University in Houston. In Mexico he earned a Masters in Spanish literature with honors for identifying the influence of oriental philosophy in the works of a famous Argentine gaucho (cowboy) novelist. Destiny assigned him as Principal Investigator of a frontier physics project whose intent was to induce rainfall from clouds with microwave modulation on a carbon dioxide laser carrier beam. These disciplines were the foundation needed to realize that not only had Mayans designed the 192-cityblock central zone of Teotihuacan, but also that they knew advanced mathematics, as did those who incorporated similar ancient knowledge in the architecture of the Parthenon atop the Acropolis at Athens. In examples that analyze the derivation of energy-mass-light-velocity relationships, Harleston was dealing with unknowns and unknowables, involving words and concepts that moderns have long ago forgotten to recognize as possibilities that humans will never be able to phrase with sound nor calculate with the mysterious language of numbers. Some of these relationships were described by Rumi, Rilke and Ramana Maharshi. Other disciplines were taught by Gurdjieff and Krishnamurti. Myths were unraveled by Campbell and Santayana. Unanswerable questions were asked by Magueijo and Suarez, provoking more unanswerable interrogations: Why are we told to believe that faster-than-the-speed-of-light does not exist today, yet has been declared existent thirteen billion earth orbits in the past, by physics professors who speak of a “quantum field?” Are they unable to say that the unima- ginable, not-of-this-world, multidimensional, tachyonic field is only another name for “consciousness,” just as forbidden to be pronounced as is the first “name” of eleven Hebrew divinities?

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Harleston Beyond the Speed of Light (contd.) The time has arrived to recognize that we cannot ever define in words and equations what Mayans call Hunab Ku: an unpronounceable, unknowable non-time entity, giver of movement, measurement and love. It is not forbidden to admit that we shall never be able to communicate this. But whoever has experienced a contact with above-the-speed-of-light consciousness will recognize when another person has lived something similar, through whatever pathway or multi-present faculties that that person might possess. Something is amiss with the measuring units that have been certified as the “right” ones to use. After thousands of conversions of lengths measured in French meters, it is apparent that the builders of Teotihuacan had their own “meter” but not the French one. It became clear that measures of time, that Mayans observed as blobs of light returning to a point in the sky, can, with appropriate corrections, permit predicting what will be seen in future skies. For thousands of years Mayans followed celestial travelers with very small corrections and very high precision. When it was found that there is no reason that a circle having an arbitrary number of divisions in Egypt is the way to go in Mexico, and that it is obligatory to use a fictitious value for circles-to-diameters to show how the same numbers define space, time and rotation, any student who recognizes the hidden assumptions of our universities can decide to turn off the cell phone and turn on micro-cell intuition via organic waveguides carrying messages at the speed of light inside the human body. A large number of European invaders spent three centuries trying to sell the world that the peoples of America were vicious, violent imbeciles, inferior to those ignorant fanatics who operated in a context of false concepts with respect to unproved beliefs, to the extent of murder by fire. One of the products of this is the mindset of traditional authorities with respect to the individual who sees contradictions in dogmatic proclamations. Blind obedience can occur with respect to a theory that enjoys confirmation of some of its tenets. A “Big Bang” produced from an infinitely small origin could be visualized as “a tachyonic ‘point’…” It becomes increasingly more difficult to raise objections to accepted speculation, but still we should ask: how can we keep talking about what happened 13 billion years ago, as if we were there? In 2003 the sun was declared to be a liquid, not gaseous as previously assumed. This is a radical change in perspective. In 2005 high energy physicists accepted a “soup of gluons and quarks” as being a liquid, and not a gas. What about the declaration that “we now know the temperature of the universe is 3 degrees Kelvin!?” Do we really know? 26

Harleston Beyond the Speed of Light (contd.) In 1976 a mathematical relationship was found between the vector angle on ap-roaching the speed of light and the particle mass at the velocity being traveled. I communicated this to three friends: Bucky Fuller, Andrija Puharich and Alfred Schlemmer. Possibly whole number values reach angular significance when the velocity causes the rest mass to grow to 2 to 1, next 3 to 1, then jumps to 1,872 to one. The latter value is the most significant dimension in Teotihuacan’s Ceremonial Zone, and the overall design emphasizes thirds. Is this relevant? An intriguing question: were Mayans cognizant of multidimensional transmission of beyond-the-speed-of-light energy?

Beyond,… not “faster.” Could it be that conscience, outside our four-dimensional conventional universe, transferred itself to geniuses freed from distortion by virtue of their dedication to disciplines of self-awareness;…that is, to a special silent presence? If we frequently ask ourselves unanswerable questions the effect on dormant parts of our neuronal systems might be that of leading us closer to objective answers.

Or…?

A Zen masterpainter stopped after brush-painting a flat circle, a triangle and a square. Mayan Halach not only expanded our awareness of universal spheres, tetrahedrons and cubes but took us soaring skyward, beyond light, to the multidimensional silent matrix of mirrored consciousness.

Hugh Harleston, Jr. – © -- 2006 Calle Balboa 5255, Col. Lomas Hipódromo, Tijuana, B.C. (cp22480), México

or c/o P.O.Box 43-1192, San Diego, CA 92143-1192, USA

Also see: A Mayan Milestone at http://earthmatrix.com/harleston/index.html

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