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Top 20 Directory:
Top : Science : Math : Geometry : Polytopes : Polyhedra
See Also:

Sites:
  • 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.
  • 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.
  • 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: Geometric model building courses to improve understanding of geometry, using a Matrix kit for sale on the site that can be used in order to create the models yourself.
  • Harold Scott MacDonald Coxeter: Biography from an online History of Mathematics, with quotes.
  • 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.
  • Mathematician's Portrait - Professor Emeritus H.S.M. Coxeter: Short biography from the University of Toronto.
  • Metal Polyhedra Models: A set of eight solid aluminum models for purchase, available in several colors.
  • Multiple-unit Dodecahedral Constructions: Images and VRML models of the shapes connected together by their faces.
  • Netlib Repository - Polyhedra: Data files and sample C code for a large number of the shapes.
  • Paper Models of Polyhedra: More than eighty paper model templates, ready to cut out and fold up, available to print out or download.
  • Pavilion of Polyhedreality: List of links to sites on the topic, plus a few renderings of the shapes.
  • Platonic Solids: Explains why there can be only five regular polyhedra.
  • 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 by Peter Cromwell: Contents, reviews, and errata of the book (CUP, 1997).
  • 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.
  • Stellated Icosahedra: Background information and images of the 59 possible stellated icosahedra.
  • Studies into Polyhedra by Anthony Thyssen: VRML models and raw data in the OFF format to generate the shapes, plus images of the shapes rendered with povray.
  • Superliminal Software - The Geometry Page: Discussion of deltahedra, infinite and flexible polyhedra, with images, a java applet, and links.
  • 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.
  • 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.
  • The Puzzling World of Polyhedral Dissections: Puzzle designer's guidebook with designs, plans, and instructions for building geometric dissection puzzles of polyhedra and burrs.
  • 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.
  • Three Puzzles with Polyhedra and Numbers: An article by Jorge Rezende, Lisbon. Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. In English and Portuguese, PDF format.
  • Tom Gettys' Polyhedra Hyperpages: Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra, deltahedra, stellated polyhedra, and prisms.
  • 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.


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