Dekeract

The dekeract, or deker, also called the 10-cube, or icosaxennon, is one of the 3 regular polyxenna. It has 20 enneracts as facets, joining 3 to a hepteract peak and 10 to a vertex.

It is the 10-dimensional hypercube. It is also a penteract duoprism and a square pentaprism.

It can be alternated into a demidekeract, which is uniform.

Vertex coordinates
The vertices of an enneract of edge length 1, centered at the origin, are given by:
 * $$\left(\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12,\,\pm\frac12\right).$$