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Consider sequences of tesselations of the sphere. For instance, one such sequence might start with an icosahedron and proceed by subdividing each triangle face into 4 triangles and projecting the new ...

Two students in my class asked and answered what might be a novel question. It is well known that the cube has exactly $11$ edge-unfoldings (or "nets"), as shown below:         (Image from ...

Encouraged by the positive solutions to my question, Tiling with one of each shape, I'd like to pose the $\mathbb{R}^3$ equivalent: Q. Is there a tiling of $\mathbb{R}^3$ by (bounded) polyhedra, one ...