multiple transformations of the platonic solids

reflections
in faces
halfturns
about edges
central inversions
in vertices
tetrahedon reflect faces
tetrahedon halfturn edges
tetrahedon invert vertices
cube reflect faces
cube halfturn edges
cube invert vertices
octahedron reflect faces
octahedron halfturn edges
octahedron invert vertices
dodecahedron reflect faces
dodecahedron halfturn edges
dodecahedron invert vertices
icosahedron reflect faces
icosahedron halfturn edges
icosahedron invert vertices