Platonic solid
Sign in to saveconvex regular polyhedra with the same number of faces at each vertex
AI overview
A Platonic solid is a three-dimensional shape where all the faces are identical regular polygons and the same number of faces meet at every corner. These five special geometric forms—the tetrahedron, cube, octahedron, dodecahedron, and icosahedron—have fascinated mathematicians and scientists for centuries because of their perfect symmetry and their appearance in nature and art.
AI-generated from the Wikipedia summary — may contain errors.
Article
The Platonic solids. Top left to right: tetrahedron and cube. Middle: regular octahedron. Bottom left to right: dodecahedron and icosahedron.
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 tetrahedron (four triangular faces), a cube (six square faces), an octahedron (eight triangular faces), a dodecahedron (twelve pentagonal faces), and an icosahedron (twenty triangular faces).