Bitruncated penteract

The bitruncated penteract, or bittin, also called the bitruncated 5-cube, is a convex uniform polyteron. It consists of 32 truncated pentachora and 10 tesseractihexadecachora. 2 truncated pentachora and 4 tesseractihexadecachora join at each vertex. As the name suggests, it is the bitruncation of the penteract.

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

Representations
A bitruncated penteract has the following Coxeter diagrams:


 * o4x3x3o3o (full symmetry)
 * x3x3x *b3o3o (D5 symmetry)
 * s4x3x3o3o (D5 symmetry, as alternated faceting)
 * ooqoo4xuxux3xooox3ooooo&#xt (BC4 axial, tesseractihexadecachoron-first)