Bitruncated heptapeton

The bitruncated heptapeton or batal, also called the bitruncated 6-simplex, is a convex uniform polypeton. It consists of 7 truncated hexatera and 7 bitruncated hexatera. 2 truncated hexatera and 4 bitruncated hexatera join at each vertex. As the name suggests, it is the bitruncation of the heptapeton.

Vertex coordinates
The vertices of a bitruncated heptapeton of edge length 1 can be given in seven dimensions as all permutations of:


 * $$\left(\sqrt2,\,\sqrt2,\,\frac{\sqrt2}{2},\,0,\,0,\,0,\,0\right).$$

Representations
A bitruncated heptapeton has the following Coxeter diagrams:


 * o3x3x3o3o3o (full symmetry)
 * xoo3xux3oox3ooo3ooo&#xt (A5 axial, truncated hexateron-first)