Polytopes

• Science: Math: Geometry: Sculpture and Art  (16)
• Science: Math: Recreations: Tessellations  (48)

The Charged Particles Model - Polytopes and optimal packing of p points in n dimensional spheres. Includes 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.

Regular Polytopes - Derivation of volume equations for regular polygons, polyhedra, and polytopes, with images.

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.