Sphenoverted penteractipenteractitriacontaditeron

The sphenoverted penteractipenteractitriacontaditeron, or wavinant, is a nonconvex uniform polyteron. It consists of 10 quasitruncated tesseracts, 10 sphenoverted tesseractitesseractihexadecachora, and 32 rectified pentachora. 3 sphenoverted tesseractitesseractihexadecachora, 2 quasitruncated tesseracts, and 1 rectified pentachoron join at each vertex.

The sphenoverted penteractipenteractitriacontaditeron contains the vertices of a quasitruncated tesseractic prism and octagrammic-quasitruncated hexahedral duoprism.

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

Related polytopes
The sphenoverted penteractipenteractitriacontaditeron is the colonel of a regiment that includes 15 uniform members.