Polytopes include polygons (two-dimensional), polyhedra (three-dimensional), polychora (four-dimensional), and their higher dimensional analogs. An n-dimensional polytope is built up from multiple (n-1)-dimensional polytopes. Thus, polyhedra are built up from polygons, and polychora are built up from polyhedra. A regular polytope is composed of regular (n-1)-dimensional polytopes. There are an infinite number of regular convex polygons, five regular convex polyhedra, six regular convex polychora, and three regular convex polytopes for all dimensions five or higher.

### Related categories2

The Geometry Junkyard
Comprehensive list of links to sites on geometric properties of the shapes.
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Zometool
Educational toys used to teach geometry and model building to create squares, spheres, stars and other regular shapes with sticks and connecting pieces.
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September 10, 2016 at 6:45:05 UTC
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