[usjjbrvn] Nonconvex polyhedra as manifolds

Nonconvex polyhedra, e.g., star polyhedra, could be interesting manifolds upon (within) which to set 2D games. I think only polyhedra with non-self-intersecting (non-star) polygonal faces work, e.g., great dodecahedron but not great stellated dodecahedron.

Probably inflate the polyhedra into multiple coverings of a sphere.

There are 17 nonconvex uniform polyhedra whose faces are convex polygons.  This includes 6 hemi forms which cannot be mapped to multiple coverings of a sphere.