The Compendium Geometry is an eBook providing facts, formulas and explanations about geometry. 
Home Analytic Geometry 3D Solids Platonic Solids Regular Polyhedra  
See also: Tetrahedron, Dodecahedron, Cube (Hexahedron), Octahedron, Icosahedron  
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Platonic Solids  Regular PolyhedraConvex regular polyhedra are polyhedra composed of equal regular convex faces. These regular polhedra are called Platonic solids.
As shown by Euclid there exist only 5 regular convex polyhedra: tetrahedron, hexahedron (cube), octahedron, dodecahedron, and icosahedron. Following is a table of the basic properties of Platonic solids:
For regular polyhedra the following statements are valid:


Home Analytic Geometry 3D Solids Platonic Solids Regular Polyhedra 