What is Polychoron?
{| align=right class=wikitable |[[Image:Complete graph K5.svg|80px]]<BR>[[4-simplex]]<BR>(5-cell) |[[Image:Cross graph 4.svg|80px]]<BR>[[4-orthoplex]]<BR>(16-cell) |[[Image:Hypercubestar.svg|80px]]<BR>[[4-cube]]<BR>(Tesseract) |- |valign=top|[[Image:24-cell graph ortho.png|80px]]<BR>[[24-cell]] |valign=top|[[Image:120-cell petrie polygon.svg|80px]]<BR>[[120-cell]] |valign=top|[[Image:600-cell petrie polygon.svg|80px]]<BR>[[600-cell]] |- !colspan=3|Graphs of six [[convex regular 4-polytope]]. |} [[Image:Hypercube.svg|250px|thumb|The [[tesseract]] is the best known polychoron, containing eight [[cube|cubic]] [[Cell (geometry)|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.]] In [[geometry]], a '''polychoron''' (plural: '''polychora''') is a figure in four dimensions. The word comes from [[Greek language|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]]. ==Other websites== *{{Mathworld | urlname=Polychoron | title=Polychoron }} *[http://members.aol.com/Polycell/uniform.html Four dimensional figures page] *[http://www.polytope.net/hedrondude/polychora.html Jonathan Bowers: Uniform polychora] [[Category:Shapes]]