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Home / Science / Math / Geometry / Polyhedra and Polytopes
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Web Sites
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- 2000 Polyhedra - Pupils of Wallsend Central Middle School set themselves the target of constructing 2000 polyhedra before the year 2000.
www.bobsykes.clara.net/morepol.htm
- 3-D and SIRDS Images - This archive contains single image random dot stereo (SIRDS) and other 3-D images, together with related information and software. Available directly using anonymous FTP.
archive.comlab.ox.ac.uk/3d.html
- 5D Cube - An interactive Java Applet displaying a five dimensional cube.
brakur.members.easyspace.com/cube
- A 3D Look at 3D Geometry - Information on polyhedra.
library.advanced.org/2842/3d_geometry
- A Ride Through the World of Polyhedra - Graphics, descriptions, links.
www.ac-noumea.nc/maths/amc/polyhedr/index_e.htm
- Alexander's Polyhedra - Alex Doskey's collection of VMRL polyhedra.
phobos.spaceports.com/~adoskey/polyhedra
- Anthony Thyssen's Giant Polyhedral Kites - VRML and OFF format data.
www.sct.gu.edu.au/~anthony/graphics/polyhedra
- Books and Articles about Polyhedra and Polytopes - Short reviews of a few of the more classic books.
www.dcs.st-and.ac.uk/~ad/mathrecs/polyhedra/polyhedrabooks.html
- Circumnavigating Cube and Tetrahedron - Shortest closed routes on the surfaces of the five regular polyhedra (especially the cube and tetrahedron) with unit edges, which cross or visit each face or edge.
www.btinternet.com/~se16/js/circumnavcubetetra.htm
- Crystal Structures - VRML crystal structures at the Institut Laue - Langevin.
www.ill.fr/dif/3D-crystals
- Face-connected Dodecahedral Constructions - Images and animations by Stephan Werbeck.
home.wtal.de/mengerit
- Fr. Magnus Wenninger OSB - Photographs of his polyhedral constructions and links to publications.
www.employees.csbsju.edu/mwenninger
- Gallery of Polyhedra - All of which can be made from books in the Tarquin catalogue. Can be viewed in virtual reality.
www.tarquin-books.demon.co.uk/form/polyhedra_galler.html
- Geometric Wire Sculptures - Leigh Boileau's wire models are three dimensional forms, individually hand crafted from 1.6 mm, 316 stainless steel rod and silver soldered. The Dodecahedron and Stellated Octahedron are available in three sizes and can be supplied with or without the faceted glass. ball. Special sizes can be made to order.
www.tacma.com/wire-sculptures
- George Olshevsky's Models - Images and further details.
members.aol.com/Polycell
- handsonmath.com - This site welcomes anyone with a desire to improve their understanding of geometry and wants to learn through a visual, hands-on, model building curriculum.
handsonmath.com
- Hyperspace Polytope Slicer - Java applet providing a way of visualizing and manipulating the 6 regular convex polytopes and several non-regular convex polytopes that exist in 4-dimensional space. Requires Swing classes.
dogfeathers.com/java/hyperslice.html
- Hyperspace Star Polytope Slicer - Java applet.
dogfeathers.com/java/hyperstar.html
- Jack Snoeyink's Un-disassemble-able Object - A sculpture representing research results on the number of hands that a robot would need to assemble collections of simple geometric objects.
www.cs.ubc.ca/nest/imager/contributions/snoeyink/sculpt.html
- Java Animations - Mark's Newbold's stereoscopic animated hyperspace objects.
dogfeathers.com/java
- Jim McNeill's VRML polyhedra - Require a VRML2 viewer: CosmoPlayer 2.0 (not 2.1) is downloadable.
web.ukonline.co.uk/polyhedra
- Jim Plank's Origami Page - Pictures and directions for creating origami polyhedra.
www.cs.utk.edu/~plank/plank/pics/origami/origami.html
- John Sharp's Sliceformmodels - Three-dimensional objects created by slicing a solid many times in two directions. The models are a series of cross sections which are made of a set of planes cut from card slotted together. Downloadable templates in PDF, PS and Word formats.
www.mathsyear2000.org/resources/slice
- Juno's World - Junichi Yananose's images and VMRL models. English/Japanese site.
www.ne.jp/asahi/j/yananose
- Laurens Lapré's Polyhedra Images - Modeled in Autocad and rendered with RenderStar.
www.xs4all.nl/~ljlapre/poly.htm
- Martin Trump's Random Polyhedra - Randomly generated by simulating n mutually repelling particles on a sphere. Images up to n = 257.
www.wmeadow.demon.co.uk/poly
- Mathematica Graphics Gallery - Polyhedral images created with Mathematica 3.0.
mrc.math.hr/uvod/first_look/v30/maps/polyhedra.html
- Paper Models of Polyhedra - More than twenty-five paper models. Download paper models and instructions.
www.geocities.com/model-world/indexe.html
- Paul Flavin's Polyhedra Viewer - Java applet.
www.frontiernet.net/~imaging/java3dviewer.html
- Pavilion of Polyhedreality - Links to polyhedra sites, collected by George Hart.
www.georgehart.com/pavilion.html
- Platonic Solids - Article in the Platonic Realms.
www.mathacademy.com/platonic_realms/encyclop/articles/platsol.html
- Platonic Spheres - Geometric bodies mapped onto the surface of the surrounding sphere. Discusses the tetrahedral ,octahedral hexahedral, and dodecahedral. Java applets allow the Platonic spheres to be rotated.
www.neubert.net/PLASpher.html
- Polyhedra - Math Forum resources.
mathforum.org/library/topics/polyhedra
- Polyhedra by Ha Quang Le - An introduction to the basic mathematics of polyhedra, illustrated with VRML and Maple code.
www.scg.uwaterloo.ca/~hqle/Polyhedra/polyhedra_main.html
- Polyhedra by Peter Cromwell - (CUP, 1997) Contents, publication details and errata.
www.liv.ac.uk/~spmr02/book
- polyhedra.mathmos.net - An online encyclopaedia of polyhedra and related topics, including ray-traces and other data on the Platonic Solids, Kepler-Poinsot Polyhedra, and Archimedean Solids.
polyhedra.mathmos.net
- Polyhedral Dissections - Article by Stewart T. Coffin.
www.johnrausch.com/PuzzlingWorld/contents.htm
- Polyhedral Templates - Doug Zongker's templates for paper models for each of the 5 Platonic solids and the 13 Archimedean semi-regular polyhedra.
www.cs.washington.edu/homes/dougz/polyhedra
- Polyhedron Database - Data files and sample C code for a large number of polyhedra.
www.netlib.org/polyhedra
- Polytopes and Polyhedra - 52B in the Known Maths index.
www.math.niu.edu/~rusin/known-math/index/52BXX.html
- Puzzles with Polyhedra and Numbers - An article by Jorge Rezende, Lisbon. English and Portuguese, PDF.
gfm.cii.fc.ul.pt/Members/JR.en.html
- Ray-traced Polyhedra - Produced by Sam Gratrix using POV-ray.
gratrix.net/polyhedra
- Regular Polytopes - An introduction to the subject of regular polytopes (generalizations of polygons and polyhedra). With links to related sites, and to Mathematica notebooks.
personal.neworld.net/~rtowle/Polytopes/polytope.html
- Regular Polytopes (Platonic Solids) in 4D - Definitions, pictures, and coordinates of the regular polytopes in all dimensions.
www.swin.edu.au/astronomy/pbourke/geometry/platonic4d
- Rolf Asmunds Polyhedra - Polyhedra, Art and Geometry. Animated polyhedra, pictures, computer graphics, photos, mathematics, background information, links.
www.asmund.dk/polyhedra/polyhedra.html
- Rona's Modular Origami Polyhedra Page - Color photos of origami polyhedra models from Rona's origami polyhedra books
www.wcsu.ctstateu.edu/~gurkewitz/homepage.html
- Stained Glass Buckyball - Uxbridge High School's stained glass truncated icosahedron. Images and links.
world.std.com/~brd/stglassorb.html
- Stellated Icosahedra - There are 59 stellations of the icosahedron. These pages contain various images of these stellations and some background information.
www.mathconsult.ch/showroom/icosahedra
- Stewart Dickson's Polyhedral Constructions - A series of images, rendered in Mathematica, depicting a means of constructing geodesic surfaces which approximate the Schwarz series of Infinite Periodic Minimal Surfaces.
emsh.calarts.edu/~mathart/portfolio/SPD_Geo_portfolio.html
- Superliminal Geometry - Polyhedra, deltahedra, infinite and flexible polyhedra; images and resources.
www.superliminal.com/geometry/geometry.htm
- Symmetry, Crystals and Polyhedra - Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay.
www.uwgb.edu/dutchs/symmetry/symmetry.htm
- The Geometry Junkyard - Pointers on geometric properties of polygons, polyhedra, and higher dimensional polytopes.
www.ics.uci.edu/~eppstein/junkyard/polytope.html
- The Platonic Solids - 3D models from the University of Utah. Java applets for rotating the images, available separately.
www.math.utah.edu/~alfeld/math/polyhedra/polyhedra.html
- The Uniform Polyhedra - Uniform polyhedra consist of regular faces and congruent vertices. Allowing for non-convex faces and vertex figures, there are 75 such polyhedra, as well as 2 infinite families of prisms and antiprisms.
www.mathconsult.ch/showroom/unipoly
- Three Puzzles with Polyhedra and Numbers - Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. May print copies for non-commercial purposes.
gfm.cii.fc.ul.pt/Members/jr_three-puzzles_en.pdf
- Tom Gettys' Polyhedra Hyperpages - Ray-traced images and animations, with POV source.
www.teleport.com/~tpgettys
- Tom Lechner's Polyhedra - Images, instructions and links.
www.re.org/tom/sculptures/sculptures.html
- Tom York's Polyhedron Program - Windows program, written in Borland Pascal for Windows to interactively manipulate virtual regular polyhedrons (cube, dodecahedron, etc.) and semiregular polyhedrons (e.g. the truncated icosahedron the soccer ball shape).
home.twcny.rr.com/fisheryorks/mfop/mfop.html
- Ulrich Mikloweit's Models - Graphics of paper models.
www.polyedergarten.de/e_index.htm
- V.Bulatov's Polyhedra Collection - An extensive library of polyhedra (VRML and JPEGs).
www.physics.orst.edu/~bulatov/polyhedra/index.html
- Waterman Polyhedra - Generated from cubic close packing lattices.
www.dsuper.net/~tinom/ph2000/wp1to13.html
- Zome System in Education - Zome system is an educational toy and industrial tool to teach geometry and model complex and simple shapes from cubes to Fullerenes.
www.zometool.com/edu/index.html
- Zvi Har'El - Links to a paper on uniform polyhedra and his software Kaleido for polyhedral computation and 3D display.
www.math.technion.ac.il/~rl
- Virtual Reality Polyhedra - Encyclopedia of Polyhedra, with virtual reality (VRML) models, by George W. Hart.
www.georgehart.com/virtual-polyhedra/vp.html
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