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.

Cartesian coordinates

for the vertices of an 8-demicube centered at the origin are alternate halves of the 8-cube:
with an odd number of plus signs.

Related polytopes and honeycombs

This polytope is the vertex figure for the uniform tessellation, 251 with Coxeter-Dynkin diagram:

Images