Small rhombated hexateron

The small rhombated hexateron, or sarx, also called the cantellated 5-simplex, is a convex uniform polyteron. It consists of 15 tetrahedral prisms, 6 rectified pentachora, and 6 small rhombated pentachora. One rectified pentachoron, 2 tetrahedral prisms, and 3 small rhombated pentachora join at each vertex. As the name suggests, it is the cantellation of the hexateron.

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

Representations
A small rhombated hexateron has the following Coxeter diagrams:


 * x3o3x3o3o (full symmetry)
 * oxx3xxo3oox3ooo&#xt (A4 axial, rectified pentachoron-first)
 * x(uo)xo x(ou)xx3o(xo)xo3o(oo)ox&#xt (A3×A1 axial, tetrahedral prism-first)
 * ox(ou)xx3oo(xo)xo xx(uo)xo3ox(ox)oo&#xt (A2×A2 axial, triangle-first)

Related polytopes
The small rhombated hexateron is the colonel of a regiment that includes 15 uniform members.