Virtual Reality Polyhedra
- Encyclopedia with virtual reality (VRML) models, history and art of the shapes. Includes background information on each shape, a glossary, guide to names, classroom activities, sculptures by the author, and a bibliography.
Alexander's Polyhedra - Alex Doskey's collection of VMRL models. Includes a concentric model of the five platonic solids, Stewart G3's, toroidal polyhedra, and other shapes.
Circumnavigating a Cube and a Tetrahedron - Discusses the shortest closed routes which cross or visit each face or edge on the surfaces of the five regular polyhedra.
Fr. Magnus Wenninger OSB - Photographs of his constructions and a bibliography of works by and about him.
Gallery of Polyhedra - Gallery of shapes that can be made from books in the Tarquin catalogue, with some VRML models.
Handsonmath.com - Abstract of book about geometric model building.
Juno's World - Three dimensional block puzzles, VRML models, instructions for creating real-world shrinkable models, and a gallery of images. In English and Japanese.
Martin's Pretty Polyhedra - Images generated by simulating n randomly placed, mutually repelling particles on a sphere. Simulations up to n = 257.
Platonic Solids - Explains why there can be only five regular polyhedra.
The Platonic Solids by Peter Alfeld - A proof that each configuration of polygons around a vertex results in a unique polyhedron, plus Java applets for rotating the images of the shapes.
Platonic Spheres - The five regular polyhedra mapped onto the surface of their surrounding spheres, which can be rotated in java applets. Also includes a discussion of the mathematical properties of the shapes.
Polyedergarten - Images of paper models, plus some vrml models. In English, German, and French.
Polyhedra by Jim McNeill - Collection of VRML models generated by a QuickBasic program named Hedron. A number of the models aren't seen elsewhere.
Polyhedra Home by Sam Gatrix - Hundreds of ray-traced polyhedra, their duals, and their properties, plus Polyhedra 2001, a real-time viewer available for download (uses OpenGL).
Polyhedra Models by Doug Zongker - Templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra, in pdf format.
polyhedra.mathmos.net - An online encyclopedia of the shapes, including ray-traces and other data on the Platonic Solids, Kepler-Poinsot Polyhedra, and Archimedean Solids.
Polyhedron Models Custom Built - An introduction to the shapes by George Olshevsky, with their properties, specifications for his custom built models, and links to other pages.
The Puzzling World of Polyhedral Dissections - Puzzle designer's guidebook with designs, plans, and instructions for building geometric dissection puzzles of polyhedra and burrs.
A Ride Through the World of Polyhedra - Images, properties, constructions, and java applets to rotate the shapes. Includes convex, non-convex, and other polyhedra, plus links to other sites.
Stellated Icosahedra - Background information and images of the 59 possible stellated icosahedra.
Symmetry, Crystals and Polyhedra - Data on polyhedra, the different types, compounds of the shapes, stellations, stewart toroids, zonohedra, and tesselations. Also discusses crystallography and symmetry.
Three Puzzles with Polyhedra and Numbers - An article by Jorge Rezende, Lisbon. Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. [PDF]
Tom Gettys' Polyhedra Hyperpages - Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra, deltahedra, stellated polyhedra, and prisms.
The Uniform Polyhedra - Excerpt of Chapter 9 of R. Maeder's book The Mathematica Programmer II. Includes images and statistics for 80 uniform polyhedra, plus background information on the shapes and the wythoff symbol.
Vladimir Bulatov Polyhedra Collection - Collection of information on polyhedra with images, VRML files, interactive java applets and original research.
World of Polyhedra - System that can take 3d structure descriptions and generate mouse-rotatable flash animations out of them. Examples of animations for the five regular polytopes. In Chinese and English.
Zvi Har'El - Features a paper on uniform polyhedra and Kaleido software for computation and display of the shapes.
- Encyclopedia with virtual reality (VRML) models, history and art of the shapes. Includes background information on each shape, a glossary, guide to names, classroom activities, sculptures by the author, and a bibliography.
