 Are patterns of shapes that fit together without any gaps  Way to tile a floor that goes on forever  Puzzles are irregular tessellations  Artists

 Made from regular polygons with equal sides and angles  Triangles, squares, hexagons

 RULE #1: The tessellation must tile a floor (that goes on forever) with no overlapping or gaps.  RULE #2: The tiles must be regular polygons - and all the same.  RULE #3: Each vertex must look the same.

Heptagon Pentagon More than 6 sides WILL OVERLAP

 These tessellations are made by using two or more different regular polygons.  The rules are still the same.  Every vertex must have the exact same configuration.

 Lived from 1898 to  He was a Dutch artist who came to specialize in patterns that tessellated  He took the boring square and looked at it mathematically.  If you took some off of one side, and added it to the opposite side, even if what you took was a funny piece, you created a pattern.  He experimented in rearranging space in very creative ways! His tessellations are the most famous in the world!