In geometry, a cell is a three-dimensional element that is part of a higher-dimensional object.
is a three-dimensional polyhedron
element that is part of the boundary of a higher-dimensional polytope
, such as a polychoron
(4-polytope) or honeycomb
For example, a cubic honeycomb is made of cubic cells, with 4 cubes on each edge. A tesseract is also made of cubic cells, but only has 3 cubes on each edge.
In polychoron names
Regular convex polychora are sometimes named by how many cells they contain, just like n-gon and n-hedron are used as a shorthand for polygonal and polyhedral names. For example, the tesseract can also be called an octachoron or an 8-cell because it contains 8 cubic cells.
- (An incorrect definition: a finite regular polytope)