The -dimensional cube, or simply -cube, is a generalisation of the ordinary cube (or -cube) to arbitrary dimensions. It comes in many guises.
The standard cubical -cube is the cubical set represented (as a presheaf) by the object in the cube category.
The standard topological -cube is the space , where is the unit interval. The collection of topological cubes forms a topological cocubical set?.
Discussion of the 3-cube as a Platonic solid:
Last revised on April 16, 2018 at 02:09:51. See the history of this page for a list of all contributions to it.