| Directory > Science > Math > Geometry > Polytopes > Polyhedra Polyhedra by Bruce Fast
Images and equations for regular polyhedra, plus some links.
http://amath.colorado.edu/staff/fast/Polyhedra/
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Mathematician's Portrait - Professor Emeritus H.S.M. Coxeter
Short biography from the University of Toronto.
http://www.math.toronto.edu/~coxeter/
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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
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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
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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
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Stellated Icosahedra
Background information and images of the 59 possible stellated icosahedra.
http://www.mathconsult.ch/showroom/icosahedra/
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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.
http://www.handsonmath.com/
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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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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.
http://www.georgehart.com/virtual-polyhedra/vp.html
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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/
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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/
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Waterman Polyhedra
Convex hulls generated from the mathematics of cubic close packing using a radial sweep algorithm,
up to the square root of 94.
http://www.dsuper.net/~tinom/ph2000/wp1to13.html
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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/
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Tom Gettys' Polyhedra Hyperpages
Ray-traced images and VRML models of platonic, archimedean, and kepler poinsot polyhedra,
deltahedra, stellated polyhedra, and prisms.
http://home.teleport.com/~tpgettys/
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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.
http://gfm.cii.fc.ul.pt/Members/JR.en.html
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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/
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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
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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
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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/
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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/
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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/
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Polyhedra Collection by V. Bulatov
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.
http://www.physics.orst.edu/~bulatov/polyhedra/
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Polyhedra by Peter Cromwell
Contents, reviews, and errata of the book (CUP, 1997).
http://www.liv.ac.uk/~spmr02/book/
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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/
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Polyhedra by Ha Quang Le
An introduction to the basic mathematics of the shapes, illustrated with VRML and Maple code.
Details of regular polyhedra, archimedean solids, faceting, and stellating.
http://www.scg.uwaterloo.ca/~hqle/Polyhedra/polyhedra_main.html
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Polyedergarten
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
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
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
Explains why there can be only five regular polyhedra.
http://www.mathacademy.com/pr/prime/articles/platsol/
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Pavilion of Polyhedreality
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
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
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
Images and VRML models of the shapes connected together by their faces.
http://home.wtal.de/mengerit/
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Metal Polyhedra Models
A set of eight solid aluminum models for purchase, available in several colors.
http://www.peda.com/models/
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Mathematica Graphics Gallery
A dozen images of stellations and truncations created with Mathematica 3.0.
http://mrc.math.hr/uvod/first_look/v30/maps/polyhedra.html
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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/
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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.ne.jp/asahi/j/yananose/zindex.html
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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
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Fr. Magnus Wenninger OSB
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
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
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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