# Why do equilateral triangles tessellate?

##### 1 Answer

Dec 14, 2015

A shape will tessellate if its vertices can have a sum of

In an equilateral triangle, each vertex is

This also explains why squares and hexagons tessellate, but other polygons like pentagons won't.

A square will form corners where

Similarly, a regular hexagon has an angle measure of

A pentagon, however, has an internal angle measure of