I know only triangles, parallelograms, and hexagons can be tessellated on a plane, but could something like a regular pentagon be tessellated infinitely in 3 dimensions or more?
I think a bit of a harder question, is a shape like this possible to tessellate in any number of dimensions so that every corner is touching the same corner on another instance of the shape, and every edge is touching the same edge on another instance of the shape. I hope I've been clear enough with what i'm asking
