Symmetry groups of regular solids:

	solids:			operations on solids:
	Tetrahedron			dual
	Cube			truncate
	Octahedron			truncate (cube)
	Dodecahedron			truncate (dodecahedron)
	Icosahedron			midpoints of edges
	Hypercube (4D)			add central point
	Cubus Simum			add central involution
	Dodecahedron Simum			induced group on edges
	Cubus EE			relabel points
	Cubus EE (russian)