Polyhedra whose faces are all congruent regular polygons have the name "regular polyhedra" or "Platonic solids". 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)

Mathematics Applets (Overview)

URL: http://home.a-city.de/walter.fendt/me/platonsolids.htm
© Walter Fendt, June 8, 1998
Last modification: February 7, 2000