Penteractiquasiprismated penteractitriacontaditeron

The penteractiquasiprismated penteractitriacontaditeron or noquapant, is a nonconvex uniform polyteron. It consists of 10 tesseractihexadecaquasitruncated prismatotesseractihexadecachora, 10 great quasidisprismatotesseractihexadecachora, 32 great prismatodecachora, 40 cuboctatruncated cuboctahedral prisms, and 80 hexagonal-octagona duoprisms. One of each type of facet joins at each vertex.

Vertex coordinates
The vertices of a penteractiquasiprismated penteractitriacontaditeron of edge length 1 are given by all permutations of:
 * $$\left(±\frac{1+\sqrt2}{2},\,±\frac{\sqrt2-1}{2},\,±\frac{2\sqrt2-1}{2},\,±\frac{3\sqrt2-1}{2},\,±\frac12\right).$$