Tesselations What is a tesselation? It is a design consisting of the same interlocking pattern repeated over and over.

Tesselations

What is a tesselation?

It is a design consisting of the same interlocking pattern repeated over and over

M. C. Escher

1898 - 1972

Born in Holland

Studied architecture

Famous artist

Mathematical ties

Used symmetry and tesselationshttp://gonzo2236.tripod.com/escher.html

This is a sample of a tesselation using a geometric shape .

Regular Tesselation

• Rules:

• Must be a regular

polygon

• Polygons cannot overlap or connect

• Each vertex must be the same

• Angles that form vertices must equal 360º

Is this a regular tesselation?

Why

or

why

not?

Semi-regular Tesselations

Rule: Must use two or more different regular polygons

Is this a semi-regular tesselation?

Why

or

why

not?

Now challenge yourselves

with the Scavenger Quest

Sources

• http://www.ScienceU.com/geometry/articles/tiling/• http://www.Coolmath.com/tesspag2.htm • http://www.gonzo2236.tripod.com.escher.html

Submitted by Jan Bender and Jackie Jordan