What is cube/hypercube/cross polytope? (original) (raw)
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A subset of is called a unit -cube if it is the convex hull of all points with components 0 or . It has exactly vertices and facets. A cube or hypercube is a convex polytope which is isomorphic to the -cube for some.
A dual (see 2.4) of a cube is called a cross polytope.
Komei Fukuda 2004-08-26