In geometry, a hypercell is a descriptive term for an element of a polytope or tessellation, usually representing an element one dimension higher than a cell. The most generally accepted term is 4face because it contains a 4dimensional interior. Another proposed name in use is teron, shortened from tetron, constructed from the prefix tetra meaning four. A 5dimensional polytope or 4dimensional tessellation can be considered constructed of 4dimensional hypercells, 3dimensional cells, 2dimensional faces, 1dimensional edges, and 0dimensional vertices. For example the 5dimensional penteract (5hypercube) is constructed from 10 tesseractic hypercells. Also the 4dimensional tesseractic honeycomb is constructed from tesseract hypercells. In the context of these figures, hypercells can also be called facets representing the highest dimensional elements of the figures. See also * Face (geometry) * 5polytope * List of regular polytopes Links * Eric W. Weisstein, Facet at MathWorld. * Olshevsky, George, Facet at Glossary for Hyperspace. Retrieved from "http://en.wikipedia.org/" 
