Polyhedron

Some polyhedra Dodecahedron (Regular polyhedron) Small stellated dodecahedron (Regular star) Icosidodecahedron (Uniform) Great cubicuboctahedron (Uniform star) Rhombic triacontahedron (Uniform dual) Elongated pentagonal cupola (Convex regular-faced) Octagonal prism (Uniform prism) Square antiprism (Uniform antiprism)

Most dice are polyhedra.

A polyhedron (one polyhedron, many polyhedra, or polyhedrons) is a geometrical shape. It has flat faces, and straight edges. Usually it is defined by the number of faces, or edges.

Mathematicians do not agree on what makes a polyhedron.

Naming

Usually, polyhedra are named by the number of faces they have. The first polyhedra are the tetrahedron, which is made of four triangles, pentahedron (five faces, can look like a four-sided pyramid), hexahedron (six faces, a cube if it is regular), and heptahedron (seven faces, can look like a prism based on a pentagon, or a pyramid based on a hexagon amongst others).

Other websites

• Eric W. Weisstein, Polyhedron at MathWorld.
• Making Polyhedra
• Polyhedra Pages
• Stella: Polyhedron Navigator – Software for exploring polyhedra and printing nets for their physical construction. Includes uniform polyhedra, stellations, compounds, Johnson solids, etc.
• The Uniform Polyhedra
• Virtual Reality Polyhedra – The Encyclopedia of Polyhedra
  • Polyhedra and Pyramids
• Paper Models of Polyhedra Many links
• Paper Models of Uniform (and other) Polyhedra
• Interactive 3D polyhedra in Java
• World of Polyhedra – Comprehensive polyhedra in flash applet, showing vertices and edges (but not shaded faces)
• Polyhedra software, die-cast models, and posters
• Electronic Geometry Models – Contains a peer reviewed selection of polyhedra with unusual properties
• Symmetry, Crystals and Polyhedra
• uniform solution for uniform polyhedra by Dr. Zvi Har'El
• Java applet with the use of kaleido
• Origami Polyhedra – Models made with Modular Origami
• Polyhedra Collection – Various virtual and physical polyhedra models