Great biprismatocellitriacontadiadispenteract

The great biprismatocellitriacontadiadispenteract, or gibcotdin, is a nonconvex uniform polyteron. It consists of 80 square-hexagonal duoprisms, 40 great cubicuboctahedral prisms, 32 great rhombated pentachora, 10 great cubihexadecadisoctachora, and 10 great quasidisprismatotesseractihexadecachora. 1 great cubihexadecadisoctachoron, 1 great cubicuboctahedral prism, 1 great rhombated pentachoron, 1 square-hexagonal duoprism, and 2 great quasidisprismatotesseractihexadecachora join at each vertex.

The great biprismatocellitriacontadiadispenteract contains the vertices of a great quasidisprismatotesseractihexadecachoric prism.

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

Related polytopes
The great biprismatocellitriacontadiadispenteract is the colonel of a three-member regiment that also includes the quasicelligreatorhombated triacontaditeron and great lepidocelligreatorhombated triacontaditeron.