Truncated triacontaditeron

The truncated triacontaditeron, or tot, also called the truncated 5-orthoplex, is a convex uniform polyteron. It consists of 10 regular hexadecachora and 32 truncated pentachora. One hexadecachoron and 8 truncated pentachora join at each vertex. As the name suggests, it is the truncation of the triacontaditeron.

Vertex coordinates
The vertices of a truncated triacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±\sqrt2,\,±\frac{\sqrt2}{2},\,0,\,0,\,0\right).$$

Representations
A truncated triacontaditeronhas the following Coxeter diagrams:


 * o4o3o3ox3x (full symmetry)
 * o3o3o *b3x3x (D5 symmetry)
 * ooooo4ooooo3ooxoo3xuxux&#xt (BC4 axial, hexadecachoron-first)
 * xuxux3ooxoo3ooooo *b3ooooo&#xt (D4 axial, hexadecachoron-first)