These questions are really addressed to myself. They may be easy, or stupid. If you can answer any of them, I will be pleased to hear from you, at nick@maproom.co.uk.
You can't sensibly stellate a polyhedron unless its dihedral angle exceeds a right angle. What, for a regular map, corresponds to "dihedral angle"?
Some regular maps drawn on orientable 2-manifolds
Some pages on groups
Copyright N.S.Wedd 2009