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...gular dodecahedron''', which looks exactly the same from all faces, is a [[Platonic solid]]. The [[Dual polyhedron|dual]] of a dodecahedron is an [[icosahedron [[Category:Platonic solids]] ...

...metrical than others. The best known is the '''regular icosahedron''', a [[Platonic solid]] made of [[Equilateral triangle|equilateral triangles]]. ...simply called the ''regular icosahedron''. It is one of the five regular [[Platonic solid]]s, and it is represented by its [[Schläfli symbol]] {3, 5}, containi ...

...also convex (its faces do not go through one another), which makes it a [[Platonic solid]]. [[Category:Platonic solids]] ...

...ur [[Equilateral triangle|equilateral triangles]] is one of the [[Platonic solids]]. ...

...x set|convex]]. These are the four-dimensional [[Analog|analogs]] of the [[Platonic solid]]s (in three dimensions) and the [[regular polygon]]s (in two dimensi ...e of these may be thought of as higher dimensional analogs of the Platonic solids. There is one additional figure (the [[24-cell]]) which has no three-dimens ...

...e [[cuboctahedron]] and [[icosidodecahedron]] relate to the other Platonic solids. One can also divide the edges of an octahedron in the ratio of the [[golde The octahedron is unique among the Platonic solids in having an even number of faces meeting at each vertex. Consequently, it ...