Library/Geometry/Solid geometry/Regular polyhedra/Basic properties and definitions of regular polyhedra
Basic properties and definitions of regular polyhedra
Overview
Important
A regular polyhedron is a convex polyhedron whose faces are congruent regular polygons, and whose vertices are all identical in arrangement (vertex-transitive).
Important properties
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All faces are congruent regular polygons.
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The same number of faces meet at every vertex.
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There are exactly five regular polyhedra (the Platonic solids).
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Each regular polyhedron is highly symmetric.
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The numbers of faces (F), vertices (V), and edges (E) satisfy Euler's formula: .