Introduction
Definition: A shape P tessellates if it is possible to fill the entire plane with rotations and or translations of P with no overlapping area.
Three regular polygons tesselate the Euclidean plane. Which ones?
Adjust "Sides" and "Copies" to explore.
What are the three regular polygons that tessellate the plane?
If p = the number of sides of the polygon and q = the minimum number of copies at a vertex, list all pairs (p,q) that tessellate the plane.
Why does the regular pentagon not tessellate the plane?
Why are there no tessellations by regular polygons with 7 or more sides?