Great skewverted cellidispenteractitriacontaditeron

The great skewverted cellidispenteractitriacontaditeron, or gikvacadint, is a nonconvex uniform polyteron. It consists of 10 small skewverted prismatohexadecadisoctachora, 10 sphenoverted tesseractitesseractihexadecachora, 32 small rhombated pentachora, and 40 quasitruncated hexahedral prisms. 1 sphenoverted tesseractitesseractihexadecachoron, 1 small rhombated pentachoron, 2 small skewverted prismatohexadecadisoctachora, and 2 quasitruncated hexahedral prisms meet at each vertex.

The great skewverted cellidispenteractitriacontaditeron contains the vertices and edges of a tesseractihexadecaquasitruncated tesseractihexadecachoric prism, octagonal-quasitruncated hexahedral duoprism, and octagrammic-cuboctatruncated cuboctahedral duoprism.

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

Related polytopes
The great skewverted cellidispenteractitriacontaditeron is the colonel of a regiment that contains 63 members.