Truncated demipenteract

The truncated demipenteract, or thin, also called the truncated 5-demicube or cantic 5-cube, is a convex uniform polyteron. It consists of 16 rectified pentachora, 16 truncated pentachora, and 10 truncated hexadecachora. One rectified pentachoron, 2 truncated pentachora, and 3 truncated hexadecachora join at each vertex. As the name suggests, it is the truncation of the demipenteract.

Vertex coordinates
The vertices of a truncated demipenteract of edge length 1 are given by all permutations and even sign changes of:
 * $$\left(\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{3\sqrt2}{4},\,\frac{\sqrt2}{4},\,\frac{\sqrt2}{4}\right).$$

Representations
A truncated demipenteract has the following Coxeter diagrams:


 * x3x3o *b3o3o (full symmetry)
 * s4o3x3o3o (as alternated faceting)
 * ooxooo3xuxuxo3ooxoox3oooxux&#xt (A4 axial, rectified pentachoron-first)
 * xuxo3xoox3oxux *b3oo&#xt (D4 axial, truncated hexadecachoron-first)