Hexagonal-cubic duoprism

The hexagonal-cubic duoprism or hacube is a convex uniform duoprism that consists of 6 tesseracts and 6 square-hexagonal duoprisms.

This polychoron can be alternated into a triangular-tetrahedral duoantiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a hexagonal-cubic duoprism of edge length 1 are given by:
 * (0, ±1, ±1/2, ±1/2, ±1/2)
 * (±$\sqrt{125+10√5}$/2, ±1/2, ±1/2, ±1/2, ±1/2)