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##

What is cube/hypercube/cross polytope?

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