Small birhombated hexacontatetrapeton

The small birhombated hexacontatetrapeton or siborg, also called the bicantellated hexacontatetrapeton or bicantellated 6-orthoplex, is a convex uniform polypeton. It consists of 12 small rhombated triacontaditera, 64 small birhombidodecatera, and 160 triangular-octahedral duoprisms. 2 small rhombated triacontaditera, 4 small birhombidodecatera, and 2 triangular-octahedral duoprisms join at each vertex. As the name suggests, it is the bicantellation of the hexacontatetrapeton.

The small birhombated hexacontatetrapeton contains the vertices and edges of the square-truncated icositetrachoric duoprism and truncated octahedral duoprism.

Coordinates
The vertex coordinates of a small birhombated hexacontatetrapeton, centered at the origin and with unit edge length, are given by all permutations of:
 * $$\left(±\sqrt2,\,±\sqrt2,\,±\frac{\sqrt2}{2},\,±\frac{\sqrt2}{2},\,0,\,0\right).$$

Representations
A small birhombated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3x3o3x3o (full symmetry)
 * o3x3o *b3o3x3o (D6 symmetry)