ThoseFabulousHexagons

Charlie Van Loan5130 Upson1:30-2:30

Bring A ChildTo Work

Yes! No!

STOP

6 Sides 8 Sides

STOP

Hexagon Octagon

Hexagon Examples

How To Make a Nice Hexagon

Draw Six Dots

How To Make a Nice Hexagon

Nope!

Draw Six Dots and

Connect Them

How To Make a Nice Hexagon

Nope!

Draw Six Dots and

Connect With Six Lines

4

6

3

52

1

How To Make a Nice Hexagon

Yes!

Draw Six Dots and

Connect With Six Lines

That Don’t Cross

Hexagonal Shapes in Nature

Artistic Useful

Can You Make One of These?

This Guy Can!

Strong and Economical

Strong and Economical

Strong and Economical

The Hex Nut

Biggest Hex Nuts On Campus

Where?

Biggest Hex Nuts On Campus

Turning Hex Nuts

Adjustable Crescent Wrenches

Allen Wrenches and Allen Screws

Hexagonal Hole

Pent Nuts: Making it Hard

Only the Fire Departmenthas the special wrench

Making A Perfect Hexagon

Examples of Perfect Polygons

Triangle

Pentagon

Square

Hexagon

Decagon

Octagon

Dodecagon

Important Word

A polygon is a shape with straight sides.

A 4-gon is a squareAn 6-gon is a hexagonAn 8-gon is an octagonA 1000-gon would look almost like a circle

The All-Important Prefix

5: Pentagon6: Hexagon7: Septagon*8: Octagon9: Nonagon10: Decagon

5: July6: August7: September8: October9: November10: December

Think ofMarch as theFirst Month

*Actually the preferred term is “Heptagon” , but that wrecks the analogy!

The All-Important Prefix

5: Pentagon6: Hexagon7: Septagon8: Octagon9: Nonagon10: Decagon

5: Pentember6: Hexember7: September8: October9: November10: December

“Star” Polygons

“Star” Polygons

Polygon Activity: Tiling

You Can Tile With Triangles

You Can Tile With Squares

You Cannot Tile with Pentagons

They do not fit together!

You Can Tile With Hexagons

How many different colors do we need so each tile is

different from its neighbors?

7 !

Little Question Big Answer

About how many little hex tiles do you need to tile the Earth?

(a) 1,000,000(b) 1,000,000,000(c) 1.000,000,000,000,000(d) 1,000,000,000,000,000,000

Tiling with Hexagons and Triangles

Tiling with Octagons and Squares

An Important Word

It is possible to tessellate the plane with hexagons.

It is possible to tessellate the plane with squares and octagons

Another Polygon Activity: Making Perfect Solids

There are only 5 Perfect (Platonic) Solids

Dodecahedron

12 faces

Each face is a perfect pentagon

Archimedean Solids

The Most Famous Archimedean Solid

??? Hexagons

??? Pentagons

The Most Famous Archimedean Solid

22 Hexagons

12 Pentagons

Why I Like Hexagons

1. I like artistic things. Hexagons are nice to look at.

2. I like building things. Hexagons are useful.

I like Engineering

GreatAnimal Engineers

Great Animal Engineers

Great Animal Engineers

Geometry Is Important

How do you fit all this stuff inside?

Computers Help

Can’t keep track of everything in our heads!

Geometry is Important

How to you get fromA to B?

Build Beautiful Things…

And Learn to Find Them

Why Do I Like Hexagons?

The REAL reason is this….

My Favorite Candy Is Hexagonal

Recipe forSuccess

They Taste Better This Way

Become A True Hexagon Person!