Directory: Top/Science/Math/Geometry/Polytopes/Polyhedra

Top / Science / Math / Geometry / Polytopes / Polyhedra /

Platonic Solids
Explains why there can be only five regular polyhedra.
http://www.mathacademy.com/pr/prime/articles/platsol/
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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 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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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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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 Peter Cromwell
Contents, reviews, and errata of the book (CUP, 1997).
http://www.liv.ac.uk/~spmr02/book/
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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 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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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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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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