Platonic solid

Frae Wikipedia, the free beuk o knawledge
Jump to navigation Jump to search

In Euclidean geometry, a Platonic solid is a regular, convex polyhedron wi congruent faces o regular polygons an the same nummer o faces meetin at each vertex. Five solids meet those criteria, an each is named efter its nummer o faces.

Tetrahedron
(fower faces)
Cube or hexahedron
(sax faces)
Octahedron
(aicht faces)
Dodecahedron
(twal faces)
Icosahedron
(twinty faces)
Tetrahedron.svg

(Animation)

Hexahedron.svg

(Animation)

Octahedron.svg

(Animation)

POV-Ray-Dodecahedron.svg

(Animation)

Icosahedron.svg

(Animation)

Geometers hae studied the mathematical beauty an symmetry o the Platonic solids for thoosands o years. Thay are named for the auncient Greek filosopher Plato who theorized in his dialogue, the Timaeus, that the classical elements wur made o thir regular solids.[1]

The five platonic solids as dice

References[eedit | eedit soorce]

  1. Zeyl, Donald. "The Stanford Encyclopedia of Philosophy: Plato's Timaeus".