Myriahexachiliatriacosioctacontatetratradakon

The myriahexachiliatriacosioctacontatetratradakon, also called the tetradecacross or 14-orthoplex, is one of the 3 regular polytradaka. It has 16384 regular tetradecadoka as facets, joining 4 to a hendon and 8192 to a vertex in a octachiliahecatonenneacontadidokal arrangement. It is the 14-dimensional orthoplex. As such, it is a hecatonicosoctaexon duotegum and square heptategum.

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