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Regular polyhedron
A regular polyhedron is a polyhedron whose symmetry group acts transitively on its flags. A regular polyhedron is highly symmetrical, being all of edge-transitive, vertex-transitive and face-transitive. In classical contexts, many different equivalent definitions are used; a common one is that faces are congruent regular polygons which are assembled in the same way around each vertex.
A regular polyhedron is identified by its Schläfli symbol of the form , where ''n'' is the number of sides of each face and ''m'' the number of faces meeting at each vertex. There are 5 finite convex regular polyhedra, known as the Platonic solids. These are the: tetrahedron , cube , octahedron , dodecahedron and icosahedron . There are also four regular star polyhedra, making nine regular polyhedra in all.
== The regular polyhedra ==
There are five convex regular polyhedra, known as the Platonic solids, and four regular star polyhedra, the Kepler-Poinsot polyhedra:
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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