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Polyhedra


Topsites2007.com on 2008 : Math : Geometry : Polytopes : Polyhedra


  36 pages found in Polyhedra:

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

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.
http://www.polyhedra.jp/

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.
http://www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html

Gallery of Polyhedra - 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

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

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.
http://www.ac-noumea.nc/maths/amc/polyhedr/index_e.htm

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).
http://gratrix.net/polyhedra/

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.
http://www.btinternet.com/~se16/js/circumnavcubetetra.htm

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

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

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

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

Handsonmath.com - Abstract of book about geometric model building.
http://www.handsonmath.com/

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

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

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.
http://www.mathconsult.ch/showroom/unipoly/

Three Puzzles with Polyhedra and Numbers - An article by Jorge Rezende, Lisbon. Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. [PDF]
http://gfm.cii.fc.ul.pt/people/jrezende/jr_poliedros-puzzles_en.pdf

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

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.
http://polyhedra.mathmos.net/

The Puzzling World of Polyhedral Dissections - 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

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

Martin's Pretty Polyhedra - 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/

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.
http://www.viviasoft.com/polyhedra/

Stellated Icosahedra - Background information and images of the 59 possible stellated icosahedra.
http://www.mathconsult.ch/showroom/icosahedra/

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

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.
http://www.sct.gu.edu.au/~anthony/graphics/polyhedra/

Vladimir Bulatov Polyhedra Collection - Collection of information on polyhedra with images, VRML files, interactive java applets and original research.
http://bulatov.org/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.
http://www.neubert.net/PLASpher.html

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

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.
http://www.uwgb.edu/dutchs/symmetry/symmetry.htm

Platonic Solids - Explains why there can be only five regular polyhedra.
http://www.mathacademy.com/pr/prime/articles/platsol/

Polyhedra by Jim McNeill - 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/

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.
http://phobos.spaceports.com/~adoskey/polyhedra/

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

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.
http://www.isotropic.org/uw/polyhedra/

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.
http://members.aol.com/Polycell/next.html




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