8-demicube

In geometry, a demiocteract or 8-demicube is a uniform 8-polytope, constructed from the 8-hypercube, octeract, with alternated vertices removed. It is part of a dimensionally infinite family of uniform polytopes called demihypercubes. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as HM8 for an 8-dimensional half measure polytope. Coxeter named this polytope as 151 from its Coxeter diagram, with a ring on one of the 1-length branches, and Schläfli symbol or {3,35,1}. Cartesian coordinates for the vertices of an 8-demicube centered at the origin are alternate halves of the 8-cube: (±1,±1,±1,±1,±1,±1,±1,±1) with an odd number of plus signs.