The simplest polygons have three sides, so we begin with triangles: All triangles tessellate. The picture works because all three corners (A, B, and C) of the triangle come together to make a 180° angle - a straight line.

What shapes Cannot tessellate?

Circles or ovals, for example, cannot tessellate. Not only do they not have angles, but you can clearly see that it is impossible to put a series of circles next to each other without a gap.

Why do triangles tessellate?

A shape will tessellate if its vertices can have a sum of 360˚ . In an equilateral triangle, each vertex is 60˚ . Thus, 6 triangles can come together at every point because 6×60˚=360˚ . ... A square will form corners where 4 squares meet, since 4×90˚=360˚ .