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Top / Science / Math / Geometry / Polyhedra and Polytopes

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2000 Polyhedra
Pupils of Wallsend Central Middle School set themselves the target of constructing 2000 polyhedra before the year 2000.
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.
5D Cube
An interactive Java Applet displaying a five dimensional cube.
A 3D Look at 3D Geometry
Information on polyhedra.
A Ride Through the World of Polyhedra
Graphics, descriptions, links.
Books and Articles about Polyhedra and Polytopes
Short reviews of a few of the more classic books.
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.
Crystal Structures
VRML crystal structures at the Institut Laue - Langevin.
Face-connected Dodecahedral Constructions
Images and animations by Stephan Werbeck.
Fr. Magnus Wenninger OSB
Photographs of his polyhedral constructions and links to publications.
Gallery of Polyhedra
All of which can be made from books in the Tarquin catalogue. Can be viewed in virtual reality.
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.
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.
Hyperspace Star Polytope Slicer
Java applet.
Mathematica Graphics Gallery
Polyhedral images created with Mathematica 3.0.
Paper Models of Polyhedra
More than twenty-five paper models. Download paper models and instructions.
Pavilion of Polyhedreality
Links to polyhedra sites, collected by George Hart.
Platonic Solids
Article in the Platonic Realms.
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.
Polyhedra
Math Forum resources.
Polyhedra by Ha Quang Le
An introduction to the basic mathematics of polyhedra, illustrated with VRML and Maple code.
Polyhedra by Peter Cromwell
(CUP, 1997) Contents, publication details and errata.
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.
Polyhedral Dissections
Article by Stewart T. Coffin.
Polyhedron Database
Data files and sample C code for a large number of polyhedra.
Polytopes and Polyhedra
52B in the Known Maths index.
Puzzles with Polyhedra and Numbers
An article by Jorge Rezende, Lisbon. English and Portuguese, PDF.
Ray-traced Polyhedra
Produced by Sam Gratrix using POV-ray.
Regular Polytopes
An introduction to the subject of regular polytopes (generalizations of polygons and polyhedra). With links to related sites, and to Mathematica notebooks.
Regular Polytopes (Platonic Solids) in 4D
Definitions, pictures, and coordinates of the regular polytopes in all dimensions.
Rolf Asmunds Polyhedra
Polyhedra, Art and Geometry. Animated polyhedra, pictures, computer graphics, photos, mathematics, background information, links.
Stellated Icosahedra
There are 59 stellations of the icosahedron. These pages contain various images of these stellations and some background information.
Superliminal Geometry
Polyhedra, deltahedra, infinite and flexible polyhedra; images and resources.
Symmetry, Crystals and Polyhedra
Steven Dutch, Natural and Applied Sciences, University of Wisconsin - Green Bay.
The Geometry Junkyard
Pointers on geometric properties of polygons, polyhedra, and higher dimensional polytopes.
The Platonic Solids
3D models from the University of Utah. Java applets for rotating the images, available separately.
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.
Three Puzzles with Polyhedra and Numbers
Includes a deltoidal icositetrahedron, rhombicuboctahedron and rhombic dodecahedron exercise. May print copies for non-commercial purposes.
Virtual Reality Polyhedra
Encyclopedia of Polyhedra, with virtual reality (VRML) models, by George W. Hart.
Waterman Polyhedra
Generated from cubic close packing lattices.
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.

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