Bitruncated hexacontatetrapeton

The bitruncated hexacontatetrapeton or botag, also called the bitruncated 6-orthoplex, is a convex uniform polypeton. It consists of 64 bitruncated hexatera and 12 truncated triacontaditera. 8 bitruncated hexatera and 2 truncated triacontaditera join at each vertex. As the name suggests, it is the bitruncation of the hexacontatetrapeton.

Vertex coordinates
The vertices of a bitruncated hexacontatetrapeton of edge length 1 are given by all permutations of:
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A bitruncated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3o3x3x3o (full symmetry)
 * o3o3o *b3x3x3o (D6 symmetry)