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A hypercube is a generic D-fold Cartesian (i.e. direct) product of a
line segment taken with itself. Here D is the dimensionality of the
hypercube. (When D=1 it is just a line segment; when D=2 it is a square;
when D=3 it is an ordinary cube; when D>3 it is just called a
'hypercube', or sometimes, 'D-dimensional cube' or 'D-dimensional
hypercube', etc.)