Thirteen Archimedean Polyhedra

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Theorem

There exist exactly $13$ distinct Archimedean polyhedra:

Truncated tetrahedron
Cuboctahedron
Truncated Cube
Truncated octahedron
Rhombicuboctahedron
Truncated cuboctahedron
Snub cube
Icosidodecahedron
Truncated dodecahedron
Truncated icosahedron
Rhombicosidodecahedron
Truncated icosidodecahedron
Snub dodecahedron


Proof


Sources