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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.
» Sliceform Models by John Sharp - Three-dimensional objects constructed by slotting together a series of planar cross sections made from card. Downloadable templates in PDF, PS and Word formats.
» The Charged Particles Model - Polytopes and optimal packing of p points in n dimensional spheres. Contains a java applet based on a model which allows for generation of multidimensional regular and semi-regular polytopes.
» 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.
» Zome Edu - Educational toys used to teach geometry and model building to create squares, spheres, stars and other regular shapes with sticks and connecting pieces. Products include kits and lesson plans.
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