Penteractiprismatotruncated penteractitriacontaditeron

The penteractiprismatotruncated penteractitriacontaditeron, or niptant, is a nonconvex uniform polyteron. It consists of 10 tesseractihexadecatruncated tesseractihexadecachora, 10 prismatorhombated hexadecachora, 32 prismatorhombated pentachora, 40 cuboctatruncated cuboctahedral prisms, and 80 triangular-octagrammic duoprisms. 1 prismatorhombated pentachoron, 1 prismatorhombated hexadecachoron, 1 tesseractihexadecatruncated tesseractihexadecachoron, 1 triangular-octagrammic duoprism, and 2 cuboctatruncated cuboctahedral prisms join at each vertex.

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

Related polytopes
The penteractiprismatotruncated penteractitriacontaditeron is the colonel of a three-member regiment that also includes the penteractiretroprismatotruncated penteractitriacontaditeron and penteractilepidoprismatotruncated penteractitriacontaditeron.