Birectified diacosipentacontahexazetton

The birectified diacosipentacontahexazetton, or bark, also called the birectified 8-orthoplex, is a convex uniform polyzetton. It consists of 16 rectified hecatonicosoctaexa and 256 birectified octaexa. 3 rectified hecatonicosoctaexa and 32 birectified octaexa join at each triangular-triacontaditeric duoprismatic vertex. As the name suggests, it is the birectification of the diacosipentacontahexazetton.

Vertex coordinates
The vertices of a birectified diacosipentacontahexazetton of edge length 1 are given by all permutations of:


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

Representations
A birectified diacosipentacontahexazetton has the following Coxeter diagrams:


 * o4o3o3o3o3x3o3o (full symmetry)
 * o3o3o *b3o3o3x3o3o (D8 symmetry)
 * ooo4ooo3ooo3ooo3oxo3xox3ooo&#xt (B7 axial, rectified hecatonicosoctaexon-first)