Platonic solid in Euclidean geometry / Platonische Koerper

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Platonic solids are regular, convex polyhedra in Euclidean geometry with congruent, polygonal faces meeting at the same number of vertices. There are five Platonic solids - tetrahedron, cube, octahedron, dodecahedron, and icosahedron - each named by the count of their faces. These geometric shapes have fascinated geometers for centuries and were theorized by Plato to be the building blocks of classical elements in his dialogue Timaeus.