High Quality Content by WIKIPEDIA articles! In geometry, a polychoron or 4-polytope is a four-dimensional polytope. It is a connected and closed figure, composed of lower dimensional polytopal elements: vertices, edges, faces (polygons), and cells (polyhedra). Each face is shared by exactly two cells. The two-dimensional analogue of a polychoron is a polygon, and the three-dimensional analogue is a polyhedron. The term polychoron (plural polychora), from the Greek roots poly ('many') and choros ('room' or 'space') and has been advocated by Norman Johnson and George Olshevsky, but it is little known in general polytope theory. Other names for polychoron include: polyhedroid and polycell.

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