In geometry, a demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube (hepteract) with alternated vertices removed.
It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
Cartesian coordinates for the vertices of a demihepteract centered at the origin are alternate halves of the hepteract: with an odd number of plus signs.
The rows and columns correspond to vertices, edges, faces, cells, 4-faces, 5-faces and 6-faces.
[1][2] The diagonal f-vector numbers are derived through the Wythoff construction, dividing the full group order of a subgroup order by removing one mirror at a time.