Miracles of numbers

Math – The Language of God

Miracles of Numbers

Math – The Language of God

Miracles of Numbers

Can you guess the next number in this sequence?

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

23389 + 144 =

FIBONACCI’S SEQUENCEThis sequence of numbers was first discovered in the 12th century, by the Italian mathematician, Leonardo Fibonacci, and hence is known as Fibonacci's Sequence.

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

1

1 1.0000000000000000

2 2.0000000000000000

3 1.5000000000000000

5 1.6666666666666700

8 1.6000000000000000

13 1.6250000000000000

21 1.6153846153846200

34 1.6190476190476200

55 1.6176470588235300

89 1.6181818181818200

144 1.6179775280898900

233 1.6180555555555600

377 1.6180257510729600

610 1.6180371352785100

987 1.6180327868852500

1,597 1.6180344478216800

2,584 1.6180338134001300

4,181 1.6180340557275500

6,765 1.6180339631667100

10,946 1.6180339985218000

17,711 1.6180339850173600

28,657 1.6180339901756000

46,368 1.6180339882053200

75,025 1.6180339889579000

• This ratio is called the Golden Ratio or the number is called Phi – Sacred Cut, Divine Proportion

Now why is this ratio called he Divine Proportion?

Because a lot of things in nature occur in this Ratio or in the Fibonacci Sequence..

LETS TAKE A LOOK AT THE DIMENSIONS OF THE DNA

DNA molecule—contains the golden ratio. One revolution of the double helix measures 34 angstroms while the width is 21 angstroms. The ratio 34/21 reflects phi 34 divided by 21 equals 1.619… a close approximation of phi’s 1.618.

13

Fibonacci numbers can be found in many places, for example the number of petals on a flower is often a Fibonacci number.

1

532

21138

People wonder…

Why is that the number of petals in a flower is often one of the following numbers:

3,5,8,13,21,34,55?

Branching Plants

• Leaves are also found in groups of Fibonacci numbers.

• Branching plants always branch off into groups of Fibonacci numbers.

Golden Ration in the Human Body

Video

The Golden Rectangle

:

The perfect rectangle?

So, why do shapes that exhibit the Golden Ratio seem more appealing to the human eye? No one really knows for sure. But we do have

evidence that the Golden Ratio seems to be Nature's perfect number.

The front two incisor teeth form a golden rectangle, with a phi ratio in the height to the width. The ratio of the width of the first tooth to the second tooth from the center is also phi.The ratio of the width of the smile to the third tooth from the center is phi as well.

GOLDEN RATIO IN ART & ARCHITECTURE

23

The Golden Rectangle in Art & Architecture

Secret to aesthetics, Inspired by Nature

Video

• Gauge

The Golden Spiral

EXERCISE

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

39

YOU HAVE JUST MADE AN ATTEMPT TO FORGE THE SIGNATURE OF GOD

THIS IS CALLED THE GOLDEN SPIRAL AND IS SEEN IN MANY ASPECTS OF NATURE

42

Chameleon's tail

The chambered nautilus

Sunflower petals follow the Fibonacci Sequence and Sunflower Seeds follow the Golden Spiral

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .

Low pressure system over Iceland filmed from a satellite

A Sea Shell

A cacti with multiple Fibonacci-like Spirals.

Spiral galaxies

The natural growth of this plant is similar to a Fibonnaci Spiral

Cauliflower Pine cone

Video

Tying it back to the beginning

Thank You!