KALEIDOTILE FAMILY SOLIDS TABLE

(2,3,4) SYMMETRY GROUP

F = # of faces E = # of edges V = # of vertices

Model

F

E

V

Shapes

Octahedron
	8	12	6	8
Truncated Octahedron
	14	36	24	8 6
Cuboctahedron
	14	24	12	8 6
Truncated Cube
	14	36	24	8 6
Cube
	6	12	8	6
Rhombicuboctahedron
	26	48	24	8 6 12
Rhombitruncated Cuboctahedron
	26	72	48	8 6 12

We have picked octahedron and rhombicuboctahedron to show the 2-, 3-, and 4- fold symmetries in this group. In each of the polyhedra below, we have highlighted some planes of reflection symmetry to show the folds of symmetry.

2-fold	3-fold	4-fold