Do Octagons Fit Together?

There are only three regular shapes that tessellate

– the square, the equilateral triangle, and the regular hexagon. All other regular shapes, like the regular pentagon and regular octagon, do not tessellate on their own. ... For instance, you can make a tessellation with squares and regular octagons used together.

Can there be gaps in tessellations?

A tessellation is a pattern of shapes repeated to fill a plane. The shapes do not overlap and there are no gaps.

What regular shape will tessellate with two octagons?

Triangles, squares and hexagons are the only regular shapes which tessellate by themselves . You can have other tessellations of regular shapes if you use more than one type of shape.