Math: Geometry: Polytopes: Polyhedra

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A Ride Through the World of Polyhedra http://www.ac-noumea.nc/maths/amc/polyhedr/index_e.htm 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 http://phobos.spaceports.com/~adoskey/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 http://www.btinternet.com/~se16/js/circumnavcubetetra.htm 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 http://www.employees.csbsju.edu/mwenninger/ Photographs of his constructions and a bibliography of works by and about him. Gallery of Polyhedra http://www.tarquin-books.demon.co.uk/form/polyhedra_galler.html Gallery of shapes that can be made from books in the Tarquin catalogue, with some VRML models. handsonmath.com http://www.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 http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Coxeter.html Biography from an online History of Mathematics, with quotes. Juno's World http://www.ne.jp/asahi/j/yananose/zindex.html 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 http://www.wmeadow.demon.co.uk/poly/ Images generated by simulating n randomly placed, mutually repelling particles on a sphere. Simulations up to n = 257. Mathematica Graphics Gallery http://mrc.math.hr/uvod/first_look/v30/maps/polyhedra.html A dozen images of stellations and truncations created with Mathematica 3.0. Mathematician's Portrait - Professor Emeritus H.S.M. Coxeter http://www.math.toronto.edu/~coxeter/ Short biography from the University of Toronto. Metal Polyhedra Models http://www.peda.com/models/ A set of eight solid aluminum models for purchase, available in several colors. Multiple-unit Dodecahedral Constructions http://home.wtal.de/mengerit/ Images and VRML models of the shapes connected together by their faces. Netlib Repository - Polyhedra http://www.netlib.org/polyhedra/ Data files and sample C code for a large number of the shapes. Paper Models of Polyhedra http://www.korthalsaltes.com/ More than eighty paper model templates, ready to cut out and fold up, available to print out or download. Pavilion of Polyhedreality http://www.georgehart.com/pavilion.html List of links to sites on the topic, plus a few renderings of the shapes. Platonic Solids http://www.mathacademy.com/pr/prime/articles/platsol/ Explains why there can be only five regular polyhedra. Platonic Spheres http://www.neubert.net/PLASpher.html 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 http://www.polyedergarten.de/e_index.htm Images of paper models, plus some vrml models. In English, German, and French. Polyhedra by Bruce Fast http://amath.colorado.edu/staff/fast/Polyhedra/ Images and equations for regular polyhedra, plus some links. Polyhedra by Jim McNeill http://web.ukonline.co.uk/polyhedra/ Collection of VRML models generated by a QuickBasic program named Hedron. A number of the models aren't seen elsewhere. Polyhedra by Peter Cromwell http://www.liv.ac.uk/~spmr02/book/ Contents, reviews, and errata of the book (CUP, 1997). Polyhedra Collection by V. Bulatov http://www.physics.orst.edu/~bulatov/polyhedra/ An extensive library of images and vrml models of the shapes. Includes uniform polyhedra, stellations, spherical platonic polyhedra, polyhedral mirrors, hyperbolic tesselations, plates from Bruckner's 1906 polyhedra book, and a stellation java applet. Polyhedra Home by Sam Gatrix http://gratrix.net/polyhedra/ 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 http://www.isotropic.org/uw/polyhedra/ Templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra, in pdf format.
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