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Platonic solid

Ciro Santilli (@cirosantilli, 37) Mathematics Area of mathematics Geometry Polytope Regular polyhedron
Updated 2025-07-16  1 By others on same topic  0 Discussions Create my own version
A convex regular polyhedron.
Their beauty is a classification type result as stated at classification of regular polytopes.
en.wikipedia.org/wiki/Platonic_solid#Topological_proof

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Platonic solid by Wikipedia Bot 0
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A Platonic solid is a three-dimensional shape that is highly regular. Specifically, a Platonic solid comprises a set of identical polygonal faces, with the same number of faces meeting at each vertex. There are only five such solids, which are: 1. **Tetrahedron** - 4 triangular faces 2. **Cube (Hexahedron)** - 6 square faces 3. **Octahedron** - 8 triangular faces 4.
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