Polyhedra Polytopes Geometry Math


Discusses the shortest closed routes which cross or visit each face or edge on the surfaces of the five regular polyhedra.








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Polyhedra

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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.

  • Vladimir Bulatov Polyhedra Collection - Collection of information on polyhedra with images, VRML polyhedra files, interactive java applets and original research.
  • Multiple-unit Dodecahedral Constructions - Images and VRML models of the shapes connected polyhedra together by geometry their faces.
  • Superliminal Software - The Geometry Page - Discussion of deltahedra, infinite and flexible polyhedra, with geometry images, a geometry java applet, and links.
  • Harold Scott MacDonald Coxeter - Biography from an online History of Mathematics, with polytopes quotes.
  • 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.
  • Platonic Spheres - The five regular polyhedra mapped onto the surface polytopes of their polyhedra surrounding spheres, which can be rotated polytopes in java applets. Also polyhedra includes a discussion of polytopes the mathematical properties of the shapes.
  • 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.
  • Stellated Icosahedra - Background information and images of the 59 possible polytopes stellated icosahedra.
  • Studies into Polyhedra by Anthony Thyssen - VRML models and raw data in the OFF polyhedra format to geometry generate the shapes, plus images of polyhedra the shapes rendered with geometry povray.
  • Gallery of Polyhedra - Gallery of shapes that can be made from polytopes books in polytopes the Tarquin catalogue, with some VRML polytopes models.
  • Netlib Repository - Polyhedra - Data files and sample C code for a large number of the shapes.
  • Symmetry, Crystals and Polyhedra - Data on polyhedra, the different types, compounds of polytopes the shapes, stellations, stewart toroids, zonohedra, and tesselations. polytopes Also discusses crystallography and symmetry.
  • Juno's World - Three dimensional block puzzles, VRML models, instructions for creating real-world polytopes shrinkable models, and a gallery of images. In English and polytopes Japanese.
  • 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.
  • 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 geometry purchase, available polyhedra in several colors.
  • Polyhedra by Jim McNeill - Collection of VRML models generated by a QuickBasic program named polytopes Hedron. A number of the models aren't seen elsewhere.
  • Pavilion of Polyhedreality - List of links to sites on the topic, polytopes plus a polytopes few renderings of the shapes.
  • Handsonmath.com - Abstract of book about geometric model building.
  • polyhedra.mathmos.net - An online encyclopedia of the shapes, including ray-traces polyhedra and other data on the Platonic Solids, Kepler-Poinsot polyhedra Polyhedra, and Archimedean Solids.
  • Paper Models of Polyhedra - More than eighty paper model templates, ready to polytopes cut out geometry and fold up, available to print polytopes out or download.
  • Tom Gettys' Polyhedra Hyperpages - Ray-traced images and VRML models of platonic, archimedean, polytopes and kepler geometry poinsot polyhedra, deltahedra, stellated polyhedra, and polytopes prisms.
  • Zvi Har'El - Features a paper on uniform polyhedra and Kaleido software for polyhedra computation and display of the shapes.
  • Polyhedra by Peter Cromwell - Contents, reviews, and errata of the book (CUP, polyhedra 1997).
  • Polyhedra Models by Doug Zongker - Templates for paper models for each of the polyhedra 5 Platonic geometry solids and the 13 Archimedean semi-regular polyhedra polyhedra, in pdf format.
  • Polyhedra Home by Sam Gatrix - Hundreds of ray-traced polyhedra, their duals, and their polyhedra properties, plus polyhedra Polyhedra 2001, a real-time viewer available polyhedra for download (uses OpenGL).
  • Polyedergarten - Images of paper models, plus some vrml models. polyhedra In English, polyhedra German, and French.
  • Fr. Magnus Wenninger OSB - Photographs of his constructions and a bibliography of polytopes works by and about him.
  • Martin's Pretty Polyhedra - Images generated by simulating n randomly placed, mutually repelling particles polyhedra on a sphere. Simulations up to n = 257.
  • The Platonic Solids by Peter Alfeld - A proof that each configuration of polygons around geometry a vertex geometry results in a unique polyhedron, plus geometry Java applets for rotating geometry the images of the geometry shapes.
  • Three Puzzles with Polyhedra and Numbers - An article by Jorge Rezende, Lisbon. Includes a geometry deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise.[PDF]
  • The Puzzling World of Polyhedral Dissections - Puzzle designer\\'s guidebook with designs, plans, and instructions polyhedra for building polyhedra geometric dissection puzzles of polyhedra and polyhedra burrs.
  • Platonic Solids - Explains why there can be only five regular polytopes polyhedra.
  • Alexander's Polyhedra - Alex Doskey\\'s collection of VMRL models. Includes a concentric model polyhedra of the five platonic solids, Stewart G3\'s, toroidal polyhedra, and polyhedra 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.


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