Dischiliatetracontoctadakon

The dischiliatetracontoctadakon, also called the hendecacross or 11-orthoplex, is one of the 3 regular polydaka. It has 2048 regular hendecaxenna as facets, joining 4 to a yotton and 1024 to a vertex in a chiliaicositetraxennal arrangement. It is the 11-dimensional orthoplex.

Vertex coordinates
The vertices of a regular dischiliatetracontoctadakon of edge length 1, centered at the origin, are given by all permutations of:
 * $$\left(\pm\frac{\sqrt2}{2},\,0,\,0,\,0,\,0,\,0,\,0,\,0,\,0,\,0,\,0\right).$$