Platonic Solids plus Truncated Platonic Solids
Tetrahedron
Truncated Tetrahedron: Vertices
Truncated Tetrahedron: Edges
Cube or Hexahedron
Truncated Cube: Vertices
Truncated Cube: Edges
Octahedron
Truncated Octahedron: Vertices
Truncated Octahedron: Edges
Dodecahedron
Truncated Dodecahedron: Vertices
Truncated Dodecahedron: Edges
Icosahedron
Truncated Icosahedron: Vertices
Truncated Icosahedron: Edges