An educational toy and industrial tool to teach geometry and model complex and simple shapes, from cubes to Fullerenes.

Collection of discussions regarding volume, vertices, dissection, g-holed tori, and other subjects.

Definitions, pictures, templates, and coordinates of the regular 3d and 4d polytopes. Also includes waterman polyhedra, polar and star spheres, and the time star.

Vertex figures, filling, faceting diagrams, stellation, defining polytopes through generators, trimethoric and trisynaptic polyhedra, space-filling polyhedra, lost stellations of the icosahedron, and links.