Demidekeract

The demidekeract, or hede, also called the hemidekeract or 10-demicube, is a convex uniform polyxennon. It has 20 demienneracts and 512 decayotta as facets, with 10 of each at a vertex forming a rectified decayotton as the vertex figure. It is the 10-dimensional demihypercube and is formed by alternating the dekeract. It is also a segmentoxennon, as a demienneractic alterprism.

Vertex coordinates
The vertices of a demidekeract of edge length 1, centered at the origin, are given by all even sign changes of:
 * $$\left(\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$