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.