Demipenteract

The demipenteract, or hin, also called the 5-demicube or hemipenteract, is a convex uniform polyteron. It has 10 hexadecachora and 16 pentachora as facets, with 5 of each at a vertex forming a rectified pentachoron as the vertex figure. It is the 5-dimensional demihypercube.

Vertex coordinates
The vertices of a demipenteract of edge length 1, centered at the origin, are given by all even sign changes of:
 * ($\sqrt{10}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4, $\sqrt{2}$/4).