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Topia!: Science: Math: Geometry: Polyhedra and Polytopes (66)
 Virtual Reality Polyhedra - Encyclopedia of Polyhedra with virtual reality (VRML) models. Includes a glossary, information on the polyhedra, and a bibliography.V.Bulatov's Polyhedra Collection - An extensive library of polyhedra (VRML and JPEGs). Zome System in Education - Zome system is an educational toy and industrial tool to teach geometry and model complex and simple shapes from cubes to Fullerenes. Jim Plank's Origami Page - Pictures and directions for creating origami polyhedra. Un-disassemble-able Object by Jack Snoeyink - A sculpture representing research results on the number of hands that a robot would need to assemble collections of simple geometric objects. Rona Gurkewitz' Modular Origami Polyhedra Page - Color photos of origami polyhedra models from Rona's origami polyhedra books. Pavilion of Polyhedreality - Links to polyhedra sites collected by George Hart, plus a few renderings of polyhedra. Stellated Icosahedra - Background information and images of the 59 possible stellated icosahedra. The Uniform Polyhedra - Uniform polyhedra consist of regular faces and congruent vertices. Allowing for non-convex faces and vertex figures, there are 75 such polyhedra, as well as 2 infinite families of prisms and antiprisms. handsonmath.com - Geometric model building courses to improve understanding of geometry, using a Matrix kit purchasable from the site in order to create the models yourself. Gallery of Polyhedra - All of the shapes can be made from books in the Tarquin catalogue. Can be viewed in virtual reality. 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. Books and Articles about Polyhedra and Polytopes - Short reviews of a few of the more classic books. The Mathematical Atlas - Polytopes and Polyhedra - Collection of discussions regarding volume, vertices, dissection, g-holed tori, and others related to polytopes. Fr. Magnus Wenninger OSB - Photographs of his polyhedral constructions and links to publications. 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. Zvi Har'El - Links to a paper on uniform polyhedra and his software Kaleido for polyhedral computation and 3D display. Polyhedral Templates - Doug Zongker's templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra, in pdf format. Multiple-unit Dodecahedral Constructions - Images and VRML models of polyhedra connected together by their faces. Studies into Polyhedra by Anthony Thyssen - VRML polyhedra models and raw data in the OFF format to generate them, plus images of the shapes rendered with povray. Polyhedra by Jim McNeill - Collection of VRML polyhedra models generated by a QuickBasic program named Hedron. A number of the models aren't seen elsewhere. Martin's Pretty Polyhedra - Images generated by simulating n randomly placed, mutually repelling particles on a sphere. Simulations up to n = 257. Mathematica Graphics Gallery - A dozen polyhedral images created with Mathematica 3.0. Tom York's Polyhedron Program - Windows program, written in Borland Pascal for Windows to interactively manipulate virtual regular polyhedrons (cube, and dodecahedron) and semiregular polyhedrons (e.g. the truncated icosahedron the soccer ball shape). The Geometry Junkyard - List of links to sites on geometric properties of polygons, polyhedra, and higher dimensional polytopes. Polyhedra by Peter Cromwell - Contents, reviews, and errata of the book (CUP, 1997). The Puzzling World of Polyhedral Dissections - Puzzle designer's guidebook with designs, plans, and instructions for building geometric dissection puzzles of polyhedra and burrs. Polyhedra Home by Sam Gatrix - Hundreds of ray-traced polyhedra, their duals, and their properties, plus Polyhedra 2001, a real-time polyhedra viewer available for download (uses OpenGL). Tom Gettys' Polyhedra Hyperpages - Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra, deltahedra, stellated polyhedra, and prisms. Tom Lechner's Polyhedra - Images, instructions and links. Geometric Wire Sculptures - Three-dimensional wire models available for purchase, handcrafted from stainless steel and silver soldered. They are available in several sizes. Sliceform models by John Sharp - Three-dimensional objects constructed by slotting together a series of planar cross sections made from card. Downloadable templates in PDF, PS and Word formats. The Math Forum - Polyhedra - Directory of links. Superliminal Software - The Geometry Page - Discussion of deltahedra, infinite and flexible polyhedra, with images, a java applet, and links. Netlib Repository - Polyhedra - Data files and sample C code for a large number of polyhedra. Symmetry, Crystals and Polyhedra - Data on polyhedra, the different types, compounds of polyhedra, 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. In English and Portuguese, PDF format. Alexander's Polyhedra - Alex Doskey's collection of VMRL polyhedra. Polyhedra by Ha Quang Le - An introduction to the basic mathematics of polyhedra, illustrated with VRML and Maple code. Details of regular polyhedra, archimedean solids, faceting, and stellating. Ulrich Mikloweit's Models - Graphics of paper models. Waterman Polyhedra - Generated from cubic close packing lattices. Circumnavigating a Cube and a Tetrahedron - Discusses the shortest closed routes on the surfaces of the cube and the tetrahedron which cross or visit each face or edge, plus the shortest paths on the other three regular unit polyhedra. polyhedra.mathmos.net - An online encyclopaedia of polyhedra and related topics, including ray-traces and other data on the Platonic Solids, Kepler-Poinsot Polyhedra, and Archimedean Solids. 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. Platonic Solids - Article in the Platonic Realms that explains why there can be only five regular polyhedra. Metal Polyhedra Models - A set of eight solid aluminum polyhedra models for purchase, available in several colors. Polyhedron Models Custom Built - An introduction to polyhedra by George Olshevsky, with their properties, specifications for his custom built models, and links to other pages. Juno's World - Three dimensional block puzzles, VRML polyhedra models, instructions for creating real-world shrinkable polyhedra models, and a gallery of images. In English and Japanese. Paper Models of Polyhedra - More than eighty paper model templates, ready to cut out and fold up, available to print out or download. Polygons, Polyhedra, Polytopes - An introduction to the subject of regular polytopes (generalizations of polygons and polyhedra) by Russell Towle. Includes links to related sites. Polyhedra, Platonic Solids, Polytopes - Definitions, pictures, templates, and coordinates of the regular polytopes 3d and 4d.
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