Polychoron
In geometry, a polychoron (plural: polychora) is a figure in four dimensions. The word comes from Greek poly, which means many and choros which means room, or space. Sometimes the figure is called 4-polytope or polyhedroid. The analogue figure in two dimensions is a polygon, and the one in three dimensions is a polyhedron.
 4-simplex (5-cell) |
 4-orthoplex (16-cell) |
 4-cube (Tesseract) |
 24-cell |
 120-cell |
 600-cell |
| Graphs of six convex regular 4-polytope. | ||
|---|---|---|
The tesseract is the best known polychoron, containing eight cubic cells, three around each edge.It is viewed here as a Schlegel diagram projection into 3-space, distorting the regularity, but keeping its topological continuity. The eighth cell projects into the volume of space exterior to the boundary.
Other websites
- Eric W. Weisstein, Polychoron at MathWorld.
- Four dimensional figures page
- Jonathan Bowers: Uniform polychora
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