Great biprismatotriacontadiadispenteract

The great biprismatotriacontadiadispenteract, or gibtadin, is a nonconvex uniform polyteron. It consists of 80 triangular-square duoprisms, 32 decachora, 10 great quasirhombated tesseracts, and 10 great cubihexadecadisoctachora. 2 great cubihexadecadisoctachora, 1 decachoron, 1 triangular-square duoprism, and 2 great quasirhombated tesseracts join at each vertex.

The great biprismatotriacontadiadispenteract contains the vertices of a great quasirhombated tesseractic prism.

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

Related polytopes
The great biprismatotriacontadiadispenteract is the colonel of a three-member regiment that also includes the quasiprismatorhombated penteract and great lepidoprismatorhombated penteract.