Small birhombidodecateron

The small birhombidodecateron, or sibrid, also called the small birhombated hexateron or bicantellated 5-simplex, is a convex uniform polyteron. It consists of 20 triangular duoprisms and 12 small rhombated pentachora. 2 triangular duoprisms and 4 small rhombated pentachora join at each vertex. As the name suggests, it is the bicantellation of the hexateron. It is also the rectified dodecateron.

Vertex coordinates
The vertices of a small birhombidodecateron of edge length 1 can be given in 6 dimensions as all permutations of:
 * $$\left(\sqrt2,\,\sqrt2,\,\frac{\sqrt2}{2},\,\frac{\sqrt2}{2},\,0,\,0\right).$$

Representations
A small birhombidodecateron has the following Coxeter diagrams:


 * o3x3o3x3o (full symmetry)
 * xoo3oxx3xxo3oox&#xt (A4 axial, small rhombated pentachoron-first)
 * x(ox)x(uo)o3o(xo)x(ou)x o(ou)x(xo)x3x(uo)x(ox)o&#xt (A2×A2 axial, triangular duoprism-first)

Related polytopes
The regiment of the small birhombidodecateron includes a total of 23 members. Of these, 15 have full symmetry, while the remaining 8 have single A5 symmetry only.