In seven-dimensional geometry, a **hexic 7-cube** is a convex uniform 7-polytope, constructed from the uniform 7-demicube. There are 16 unique forms.

The Cartesian coordinates for the vertices of a hexic 7-cube centered at the origin are coordinate permutations:

(±1,±1,±1,±1,±1,±1,±3)

with an odd number of plus signs.

This polytope is based on the 7-demicube, a part of a dimensional family of uniform polytopes called demihypercubes for being alternation of the hypercube family.

There are 95 uniform polytopes with D_{7} symmetry, 63 are shared by the BC_{7} symmetry, and 32 are unique: