Platonic solid

Convex regular polyhedra with the same number of faces at each vertex

Nº Q188745 ★★★★

Super Rare · Knowledge

Platonic solid

Convex regular polyhedra with the same number of faces at each vertex

In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex.

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From Wikipedia

In geometry, a Platonic solid is a convex, regular polyhedron in three-dimensional Euclidean space. Being a regular polyhedron means that the faces are congruent (identical in shape and size) regular polygons (all angles congruent and all edges congruent), and the same number of faces meet at each vertex. There are only five such polyhedra: a regular tetrahedron (four triangular faces), a cube (six square faces), a regular octahedron (eight triangular faces), a regular dodecahedron (twelve pentagonal faces), and a regular icosahedron (twenty triangular faces). Geometers have studied the Platonic solids for thousands of years. They are named after the ancient Greek philosopher Plato, who hypothesized in one of his dialogues, the Timaeus, that the classical elements were made of these regular solids.

Text: Wikipédia, CC BY-SA 4.0. · Image: Drummyfish (CC0) ·

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