Open Directory - Science: Math: Geometry: Polytopes

See also:

Polygons, Polyhedra, Polytopes - Regular, rectified, and truncated polytopes with normal and hidden-detail-removed projections. Images, animations, and links.
Guy's Polyhedra Pages - Vertex figures, filling, faceting diagrams, stellation, defining polytopes through generators, trimethoric and trisynaptic polyhedra, space-filling polyhedra, lost stellations of the icosahedron, and links.
Numericana - Polyhedra & Polytopes - Enumeration, cartesian coordinates of vertices, naming, and counting the shapes.
Pick's Theorem - Describes a theorem for finding an area of simple lattice polygons. Includes proof and Java applet simulation.
Regular Polytopes - Derivation of volume equations for regular polygons, polyhedra, and polytopes, with images.
The Geometry Junkyard - Comprehensive list of links to sites on geometric properties of the shapes.
The Mathematical Atlas - Polytopes and Polyhedra - Collection of discussions regarding volume, vertices, dissection, g-holed tori, and other subjects.
Zometool - Educational toys used to teach geometry and model building to create squares, spheres, stars and other regular shapes with sticks and connecting pieces.

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Last update: Thursday, March 25, 2010 7:00:52 PM EDT - edit

Open Directory - Science: Math: Geometry: Polytopes: Higher Dimensional

Hyperspace Structures: Exploring the Fourth Dimension - Explains the properties of the hypercube and hypertorus. Shows models and video clips. Includes information on how these images were created using software and mathematics.
Mark Newbold's Java Stuff - Java applets that show intersections, morphing, and stereoscopic renderings of four-dimensional polytopes and optical illusions.
Regular 4d Polytope Foldouts - Java applets to view the shapes by rotating them.
Uniform Polychora - Some images, and the naming scheme with which the author has categorized over 8000 of these shapes.

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Last update: Thursday, March 25, 2010 7:22:59 PM EDT - edit