Small prismated hexacontatetrapeton

The small prismated hexacontatetrapeton or spog, also called the runcinated hexacontatetrapeton or runcinated 6-orthoplex, is a convex uniform polypeton. It consists of 12 penteractitriacontaditera, 64 small prismated hexatera, 60 icositetrachoric prisms, and 160 triangular-octahedral duoprisms. 1 penteractitriacontaditeron, 4 small prismated hexatera, 3 icositetrachoric prisms, and 3 triangular-octahedral duoprisms join at each vertex. As the name suggests, it is the runcination of the hexacontatetrapeton.

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

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

Representations
A small prismated hexacontatetrapeton has the following Coxeter diagrams:
 * o4o3x3o3o3x (full symmetry)
 * o3x3o *b3o3o3x (D6 symmetry)