In geometry, a 6-demicube or demihexeract is a uniform 6-polytope, constructed from a 6-cube (hexeract) with alternated vertices removed.
It is part of a dimensionally infinite family of uniform polytopes called demihypercubes.
Cartesian coordinates for the vertices of a demihexeract centered at the origin are alternate halves of the hexeract: with an odd number of plus signs.
The rows and columns correspond to vertices, edges, faces, cells, 4-faces and 5-faces.
Each progressive uniform polytope is constructed from the previous as its vertex figure.