# Archimedean solids

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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).

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

**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