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Archimedean solid
A convex semi-regular polyhedron – a solid made from regular polygonal sides of two or more types that meet in a uniform pattern around each corner. (A regular polyhedron, or Platonic solid, has only one type of polygonal side.) There are 13 Archimedean solids. Although they are named after their discoverer, the first surviving record of them is in the fifth book of the Collection of Pappus of Alexandria. The duals of the Archimedean solids (made by replacing each face with a vertex, and each vertex with a face) are commonly known as Catalan solids. Apart from the Platonic and Archimedean solids, the only other convex uniform polyhedra with regular faces are prisms and antiprisms. This was shown by Johannes Kepler, who also gave the names generally used for the Archimedean solids. See also Johnson solids.
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| The Archimedean Solids | |||
|---|---|---|---|
| name | vertices | faces | edges |
| truncated tetrahedron | 12 | 8 | 18 |
| truncated cube | 24 | 14 | 36 |
| truncated octahedron | 24 | 14 | 36 |
| truncated dodecahedron | 60 | 32 | 90 |
| truncated icosahedron | 60 | 32 | 90 |
| cuboctahedron | 12 | 14 | 24 |
| icosidodecahedron | 30 | 32 | 60 |
| snub dodecahedron | 60 | 92 | 150 |
| rhombicuboctahedron | 24 | 26 | 48 |
| great rhombicosidodecahedron | 120 | 62 | 180 |
| rhombicosidodecahedron | 60 | 62 | 120 |
| great rhombicuboctahedron | 48 | 26 | 72 |
| snub cube | 24 | 38 | 60 |
Related category
• SOLIDS AND SURFACES
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