Hendekeract

The hendekeract, also called the 11-cube or icosididakon, is one of the 3 regular polydaka. It has 22 dekeracts as facets, joining 3 to a yotton and 11 to a vertex.

It is the 11-dimensional hypercube.

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

A regular dodecadakon of edge length $\sqrt{2}$ can be inscribed in the hendekeract. The next largest simplex that can be inscribed in a hypercube is the hexadecatedakon.

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