Bitruncated triacontaditeron

The bitruncated triacontaditeron, or bittit, also called the bitruncated 5-orthoplex, is a convex uniform polyteron. It consists of 32 decachora and 10 truncated hexadecachora. 2 truncated hexadecachora and 4 decachora join at each vertex. As the name suggests, it is the bitruncation of the triacontaditeron.

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

Representations
A bitruncated triacontaditeron has the following Coxeter diagrams:


 * o4o3x3x3o (full symmetry)
 * o3x3o *b3x3o (D5 symmetry)
 * ooooo4ooxoo3xuxux3xooox&#xt (B4 axial, truncated hexadecachoron-first)

Related polytopes
The bitruncated triacontaditeron is the colonel of a two-member regiment that also includes the bitruncated hexadecahemidecateron.