Sphenary cellibiprismatopenteractipenteractitriacontaditeron

The sphenary cellibiprsimatopenteractipenteractitriacontaditeron or wacbinant, is a nonconvex uniform polyteron. It consists of 80 triangular-square duoprisms, 40 great cubicuboctahedral prisms, 32 small rhombated pentachora, 10 sphenoverted tesseractitesseractihexadecachora, and 10 quasiprismatorhombated hexadecachora. 1 triangular-square duoprism, 1 sphenoverted tesseractitesseractihexadecachoron, 1 small rhombated pentachoron, 2 great cubicuboctahedral prisms, and 2 quasiprismatorhombated hexadecachora join at each vertex.

The sphenary cellibiprismatopenteractipenteractitriacontaditeron contains the vertices of a quasiprismatorhombated hexadecachoric prism and octagrammic-quasitruncated cuboctahedral duoprism.

Vertex coordinates
The vertices of a sphenary cellibiprismatopenteractipenteractitriacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±\frac{2\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac{\sqrt2-1}{2},\,±\frac12,\,±\frac12\right).$$

Related polytopes
The sphenary cellibiprismatopenteractipenteractitriacontaditeron is the colonel of a regiment of 27 members.