Platonic solids are convex solids whose edges form regular congruent plane polygons. Its designation is due to Plato, who discovered them around 400 BC. The existence of these solids was already known by the Pythagoreans, and the Egyptians used some of them in the architecture and in other objects that they constructed.

There are only 5 solids that meet these conditions in which all faces have to be regular polygons. In the following table you can see a summary of some of its main characteristics:

Name | Image | Faces | Edges | Vertices | Vertices in faces | Faces in vertices |
---|---|---|---|---|---|---|

Tetrahedron | 4 | 6 | 4 | 3 | 3 | |

Hexahedron (Cube) | 6 | 12 | 8 | 4 | 3 | |

Octahedron | 8 | 12 | 6 | 3 | 4 | |

Dodecahedron | 12 | 30 | 20 | 5 | 3 | |

Icosahedron | 20 | 30 | 12 | 3 | 5 |

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