Small skewverted biprismatodispenteractitriacontaditeron

The small skewverted biprismatodispenteractitriacontaditeron, or skivbadant, is a nonconvex uniform polyteron. It consists of 10 small skewverted prismatohexadecadisoctachora, 10 small rhombated tesseracts, 32 small rhombated pentachora, and 80 triangular-octagrammic duoprisms. 1 small rhombated tesseract, 1 small rhombated pentachoron, 2 small skewverted prismatohexadecadisoctachora, and 2 triangular-octagrammic duoprisms meet at each vertex.

The small skewverted biprismatodispenteractitriacontaditeron contains the vertices and edges of a tesseractihexadecatruncated tesseractihexadecachoric prism, octagrammic-truncated cubic duoprism, and octagonal-cuboctatruncated cuboctahedral duoprism.

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

Related polytopes
The small skewverted biprismatodispenteractitriacontaditeron is the colonel of a regiment that contains 63 members.