Heptagons?

No way!! Now we are getting overlaps!

hept.gif

Octagons? Nope!

They'll overlap too. In fact, all polygons with more than six sides will overlap! So, the only regular polygons that tessellate are triangles, squares and hexagons!

SEMI-REGULAR TESSELLATIONS:

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.

  Examples:     

tessellation

3, 6, 3, 6

     

tessellation

3, 3, 3, 3, 6

These tessellations are both made up of hexagons and triangles, but their vertex configuration is different. That's why we've named them!