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13 Archimedian Solids: In a given solid, each vertex is identical.

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1 Truncated tetrahedron      2 Truncated octahedron  3 Truncated cube

 

4 Truncated icosahedron 5 Truncated dodecahedron 6 Cuboctahedron

7 Icosidodecahedron 8 (Small) Rhombicuboctahedron

9 Small Rhombicosidodecahedron 10 Truncated cuboctahedron/Great rhombicuboctahedron 11 Great rhombicosidodecahedron/Truncated Icosidodecahedron

12 Snub cube 13 Snub dodecahedron