Here’s a polyhedron. It has regular faces. It is nonconvex. It is crazy.
This thing can be constructed by taking one of the Johnson solids, the bilunabirotunda (or J91), cutting off two tridiminished icosahedra, and adding on two pentagonal pyramids. You’re left with the two square faces and four of the triangular faces of [...]
There’s a book titled Adventures Among the Toroids: a study of Quasi-Convex, Aplanar, Tunneled Orientable Polyhedra of Positive Genus having Regular Faces with Disjoint Interiors, being an elaborate Description and Instructions for the Construction of an enormous number of new and fascinating Mathematical Models of interest to Students of Euclidean Geometry and Topology, both Secondary [...]
Because Kenny asked me to, I made a non-stellated dodecahedron:
The coloring is the same as for the great stellated:
It’s been over a year since I made a paper small stellated dodecahedron, and at the time I figured I’d soon also make a …
… great stellated dodecahedron, but I didn’t even start one until a day or two ago. I guess I can blame moving and Real Estate Hell. Why not, I blame them [...]
