"Regular polyhedra" or "Platonic solids" are convex polyhedra with congruent regular polygons as faces where the same number of faces meet at each vertice. There are exactly five Platonic solids:

- Regular tetrahedron (4 vertices, 6 edges, 4 equilateral triangles as faces)
- Regular hexahedron or cube (8 vertices, 12 edges, 6 squares as faces)
- Regular octahedron (6 vertices, 12 edges, 8 equilateral triangles as faces)
- Regular dodecahedron (20 vertices, 30 edges, 12 regular pentagons as faces)
- Regular icosahedron (12 vertices, 30 edges, 20 equilateral triangles as faces)

© W. Fendt 1998