In
geometry,
demihypercubes (also called
n-demicubes,
n-hemicubes, and
half measure polytopes) are a class of n-
polytopes constructed from
alternation of an n-
hypercube, labeled as
hγn for being
half of the hypercube family,
γn. Half of the vertices are deleted and new facets are formed. The
2n facets become
2n (n-1)-demicubes, and 2
n (n-1)-simplex facets are formed in place of the deleted vertices.