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  Polyhedra (35)

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Featured Websites in this category
http://www.georgehart.com/virtual-polyhedra/vp.html
Featured Site Virtual Reality Polyhedra Open in a new browser windowLink Details
- 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.
- http://www.georgehart.com/virtual-polyhedra/vp.html

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Regular Websites in this category

polyhedra.mathmos.net Open in a new windowLink Details
- An online encyclopedia of the shapes, including ray-traces and other data on the Platonic Solids, Kepler-Poinsot Polyhedra, and Archimedean Solids.
- http://polyhedra.mathmos.net/

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Tom Gettys' Polyhedra Hyperpages Open in a new windowLink Details
- Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra, deltahedra, stellated polyhedra, and prisms.
- http://home.comcast.net/~tpgettys/

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World of Polyhedra Open in a new windowLink Details
- 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.
- http://www.viviasoft.com/polyhedra/

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Mathematician's Portrait - Professor Emeritus H.S.M. Coxeter Open in a new windowLink Details
- Short biography from the University of Toronto.
- http://www.math.toronto.edu/~coxeter/

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Harold Scott MacDonald Coxeter Open in a new windowLink Details
- Biography from an online History of Mathematics, with quotes.
- http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Coxeter.html

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Symmetry, Crystals and Polyhedra Open in a new windowLink Details
- Data on polyhedra, the different types, compounds of the shapes, stellations, stewart toroids, zonohedra, and tesselations. Also discusses crystallography and symmetry.
- http://www.uwgb.edu/dutchs/symmetry/symmetry.htm

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Superliminal Software - The Geometry Page Open in a new windowLink Details
- Discussion of deltahedra, infinite and flexible polyhedra, with images, a java applet, and links.
- http://www.superliminal.com/geometry/geometry.htm

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Stellated Icosahedra Open in a new windowLink Details
- Background information and images of the 59 possible stellated icosahedra.
- http://www.mathconsult.ch/showroom/icosahedra/

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Zvi Har'El Open in a new windowLink Details
- Features a paper on uniform polyhedra and Kaleido software for computation and display of the shapes.
- http://www.math.technion.ac.il/~rl/

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The Uniform Polyhedra Open in a new windowLink Details
- 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.
- http://www.mathconsult.ch/showroom/unipoly/

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Three Puzzles with Polyhedra and Numbers Open in a new windowLink Details
- An article by Jorge Rezende, Lisbon. Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. In English and Portuguese, PDF format.
- http://gfm.cii.fc.ul.pt/Members/JR.en.html

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Studies into Polyhedra by Anthony Thyssen Open in a new windowLink Details
- VRML models and raw data in the OFF format to generate the shapes, plus images of the shapes rendered with povray.
- http://www.sct.gu.edu.au/~anthony/graphics/polyhedra/

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A Ride Through the World of Polyhedra Open in a new windowLink Details
- Images, properties, constructions, and java applets to rotate the shapes. Includes convex, non-convex, and other polyhedra, plus links to other sites.
- http://www.ac-noumea.nc/maths/amc/polyhedr/index_e.htm

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The Puzzling World of Polyhedral Dissections Open in a new windowLink Details
- Puzzle designer's guidebook with designs, plans, and instructions for building geometric dissection puzzles of polyhedra and burrs.
- http://www.johnrausch.com/PuzzlingWorld/contents.htm

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Polyhedra Models by Doug Zongker Open in a new windowLink Details
- Templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra, in pdf format.
- http://www.isotropic.org/uw/polyhedra/

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Polyhedra Home by Sam Gatrix Open in a new windowLink Details
- Hundreds of ray-traced polyhedra, their duals, and their properties, plus Polyhedra 2001, a real-time viewer available for download (uses OpenGL).
- http://gratrix.net/polyhedra/

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Polyhedra by Peter Cromwell Open in a new windowLink Details
- Contents, reviews, and errata of the book (CUP, 1997).
- http://www.liv.ac.uk/~spmr02/book/

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Polyhedra by Jim McNeill Open in a new windowLink Details
- Collection of VRML models generated by a QuickBasic program named Hedron. A number of the models aren't seen elsewhere.
- http://web.ukonline.co.uk/polyhedra/

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Polyedergarten Open in a new windowLink Details
- Images of paper models, plus some vrml models. In English, German, and French.
- http://www.polyedergarten.de/e_index.htm

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Platonic Spheres Open in a new windowLink Details
- 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.
- http://www.neubert.net/PLASpher.html

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The Platonic Solids by Peter Alfeld Open in a new windowLink Details
- 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.
- http://www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html

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Platonic Solids Open in a new windowLink Details
- Explains why there can be only five regular polyhedra.
- http://www.mathacademy.com/pr/prime/articles/platsol/

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Pavilion of Polyhedreality Open in a new windowLink Details
- List of links to sites on the topic, plus a few renderings of the shapes.
- http://www.georgehart.com/pavilion.html

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Paper Models of Polyhedra Open in a new windowLink Details
- More than eighty paper model templates, ready to cut out and fold up, available to print out or download.
- http://www.korthalsaltes.com/

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Netlib Repository - Polyhedra Open in a new windowLink Details
- Data files and sample C code for a large number of the shapes.
- http://www.netlib.org/polyhedra/

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Multiple-unit Dodecahedral Constructions Open in a new windowLink Details
- Images and VRML models of the shapes connected together by their faces.
- http://home.wtal.de/mengerit/

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Metal Polyhedra Models Open in a new windowLink Details
- A set of eight solid aluminum models for purchase, available in several colors.
- http://www.peda.com/models/

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Martin's Pretty Polyhedra Open in a new windowLink Details
- Images generated by simulating n randomly placed, mutually repelling particles on a sphere. Simulations up to n = 257.
- http://www.wmeadow.demon.co.uk/poly/

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Juno's World Open in a new windowLink Details
- Three dimensional block puzzles, VRML models, instructions for creating real-world shrinkable models, and a gallery of images. In English and Japanese.
- http://www.ne.jp/asahi/j/yananose/zindex.html

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Gallery of Polyhedra Open in a new windowLink Details
- Gallery of shapes that can be made from books in the Tarquin catalogue, with some VRML models.
- http://www.tarquin-books.demon.co.uk/form/polyhedra_galler.html

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Fr. Magnus Wenninger OSB Open in a new windowLink Details
- Photographs of his constructions and a bibliography of works by and about him.
- http://www.employees.csbsju.edu/mwenninger/

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Circumnavigating a Cube and a Tetrahedron Open in a new windowLink Details
- Discusses the shortest closed routes which cross or visit each face or edge on the surfaces of the five regular polyhedra.
- http://www.btinternet.com/~se16/js/circumnavcubetetra.htm

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Alexander's Polyhedra Open in a new windowLink Details
- Alex Doskey's collection of VMRL models. Includes a concentric model of the five platonic solids, Stewart G3's, toroidal polyhedra, and other shapes.
- http://phobos.spaceports.com/~adoskey/polyhedra/

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