Archimedean solids

An Archimedean solid is a convex semi-regular solid in which the same number of regular polygons meet in the same way at every vertex, but is not a Platonic solid or prism or antiprism.

According to Pappus, Archimedes discovered 13 of them and published the result in a work which is now lost.

In the list below the number of faces, edges and vertices are listed as (F, E, V).

Picture	Name	F, E, V
	Truncated tetrahedron 4 triangles, 4 hexagons	8, 18, 12
	Cuboctahedron 8 triangles, 6 squares	14, 24, 12
	Truncated octahedron 6 squares, 8 hexagons	14, 36, 24
	Truncated cube 8 triangles, 6 octagons	14, 36, 24
	Rhombicuboctahedron 8 triangles, 18 squares	26, 48, 24
	Truncated cuboctahedron 12 squares, 8 hexagons, 6 octagons	26, 72, 48
	Icosidodecahedron 20 triangles, 12 hexagons	32, 60, 30
	Truncated icosahedron 12 pentagons, 20 hexagons	32, 90, 60
	Truncated dodecahedron 20 triangles, 12 decagons	32, 90, 60
	Snub cube 32 triangles, 6 squares	38, 60, 24
	Rhombicosidodecahedron 20 triangles, 30 squares, 12 pentagons	62, 120, 60
	Truncated icosidodecahedron 30 squares, 20 hexagons, 12 decagons	62, 180, 120
	Snub dodecahedron 80 triangles, 12 pentagons	92, 150, 24

Pictures are from https://www.polyhedra.net