WOLFRAM LANGUAGE NOTE

PolyhedronData Source Information

PolyhedronData contains a number of polyhedra compiled from various sources. Most properties have been computed using the Wolfram Language, although a number have been taken from the literature. Properties have been checked for consistency using a variety of known mathematical relations and formulas.

Among principal sources for PolyhedronData are:

Coxeter, H. S. M. Regular Polytopes. (3rd ed.) Dover, 1973.

Coxeter, H. S. M., M. S. Longuet-Higgins, and J. C. P. Miller. "Uniform Polyhedra." Philosophical Transactions of the Royal Society of London, Series A 246 (1954): 401-450.

Cromwell, P. R. Polyhedra. Cambridge University Press, 1997.

Cundy, H. M. and A. P. Rollett. Mathematical Models. (2nd ed.) Clarendon Press, 1961.

Federico, P. J. "The Melancholy Octahedron." Mathematics Magazine 45, (1972): 30-36.

Har'El, Z. "Uniform Solution for Uniform Polyhedra." Geometriae Dedicata 47 (1993): 57-110.

Hart, G. "Netlib Polyhedra DataBase." 1996 »

Johnson, N. W. "Convex Polyhedra with Regular Faces." Canadian Journal of Mathematics 18 (1966): 169-200.

Maeder, R. E. "Uniform Polyhedra." The Mathematica Journal 3 (1993): 48-57.

Messer, P. W. "Closed-Form Expressions for Uniform Polyhedra and Their Duals." Discrete and Computational Geometry 27 (2002): 353-375.

Sandia Laboratories. Netlib Polyhedron Database. 2008. »

Schreiber, P. "A New Hypothesis on Dürer's Enigmatic Polyhedron in His Copper Engraving 'Melencolia I.'" Historia Mathematica 26 (1999): 369-377.

Weisstein, E. W. "MathWorld: A Wolfram Web Resource." 2009. »

Wenninger, M. J. Dual Models. Cambridge University Press, 1983.

Wenninger, M. J. Polyhedron Models. Cambridge University Press, 1989.

To report an error or suggest an addition to PolyhedronData, contact the Wolfram Research PolyhedronData team.