Tetrahedron | Cube | Octahedron | Dodecahedron | Icosahedron |

Four faces | Six faces | Eight faces | Twelve faces | Twenty faces |

(Animation) |
(Animation) |
(Animation) |
(Animation) |
(Animation) |

Polyhedron | Vertices | Edges | Faces | Schläfli symbol | Vertex configuration | |
---|---|---|---|---|---|---|

tetrahedron | 4 | 6 | 4 | {3, 3} | 3.3.3 | |

cube | 8 | 12 | 6 | {4, 3} | 4.4.4 | |

octahedron | 6 | 12 | 8 | {3, 4} | 3.3.3.3 | |

dodecahedron | 20 | 30 | 12 | {5, 3} | 5.5.5 | |

icosahedron | 12 | 30 | 20 | {3, 5} | 3.3.3.3.3 |

## Cartesian coordinates[edit]

For Platonic solids centered at the origin, simple Cartesian coordinates are given below. The Greek letter *φ* is used to represent the golden ratio 1 + √5/2.