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.