platonic solid

Regular convex polyhedron

A platonic solid is a three-dimensional shape whose faces are identical regular polygons meeting at identical vertices.

Only five exist: the tetrahedron (4 triangular faces), cube (6 square faces), octahedron (8 triangular faces), dodecahedron (12 pentagonal faces), and icosahedron (20 triangular faces).

Named for Plato, who associated them with the classical elements.

Related

vertex · edge · face · geometry · sacred geometry · polyhedron · symmetry · Greek philosophy · regular · convex · facet · crystal · golden ratio · dice · dice set · role playing · element · sphere

Opposites
geometric regularity

platonic solidblob

Shapeless viscous drop

irregular polygon

polyhedra classification

platonic solidprism

Light-splitting optical element

finiteness and boundedness

platonic solidfractal

Shape repeating at every scale

Family

platonic, Plato, Platonism, Platonist, solid, solidly, solidity, solidify, solidification

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