Top: Science: Math: Geometry: Polytopes:

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• Science: Math: Geometry: Sculpture and Art  (21)
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» Polygons, Polyhedra, Polytopes   - Regular, rectified, and truncated polytopes with normal and hidden-detail-removed projections. Images, animations, and links.




» 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.




» 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.




» The Mathematical Atlas - Polytopes and Polyhedra - Collection of discussions regarding volume, vertices, dissection, g-holed tori, and other subjects.




» 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.




» Polyhedra, Platonic Solids, Polytopes - Definitions, pictures, templates, and coordinates of the regular 3d and 4d polytopes. Also includes waterman polyhedra, polar and star spheres, and the time star.




» 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.




» 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.