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# Platonic solids

From OeisWiki

The five regular convex polyhedra (3-dimensional regular convex solids, known as the 5 Platonic solids), are

- the tetrahedron (4 vertices, 6 edges and 4 faces);
- the octahedron (6 vertices, 12 edges and 8 faces);
- the cube or hexahedron (8 vertices, 12 edges and 6 faces);
- the icosahedron (12 vertices, 30 edges and 20 faces);
- the dodecahedron (20 vertices, 30 edges and 12 faces).

The tetrahedron is self-dual, the cube and the octahedron are duals, and the dodecahedron and icosahedron are duals. (Dual pairs have same number of edges and have vertices corresponding to faces of each other.)

Number of vertices, edges and faces of the 5 Platonic solids:

- A063723 Number of vertices in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).
- A063722 Number of edges in the Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).
- A053016 Number of faces of Platonic solids (in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron).