Small biprismatocellidispenteractitriacontaditeron

The small biprismatocellidispenteractitriacontaditeron, or sibacadint, is a nonconvex uniform polyteron. It consists of 10 small skewverted prismatohexadecadisoctachora, 10 prismatorhombated tesseracts, 32 prismatorhombated pentachora, 40 great cubicuboctahedral prisms, and 80 hexagonal-octagrammic duoprisms. 1 1 small skewverted prismatohexadecadisoctachoron, 1 prismatorhombated tesseract, 1 prismatorhombated pentachoron, 1 great cubicuboctahedral prism, and 2 hexagonal-octagrammic duoprisms meet at each vertex.

The small biprismatocellidispenteractitriacontaditeron contains the vertices and edges of a tesseractihexadecatruncated prismatotesseractihexadecachoric prism and octagrammic-great rhombicuboctahedral duoprism.

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

Related polytopes
The small biprismatocellidispenteractitriacontaditeron is the colonel of a regiment that contains 15 members.