Great tesseractitriacontadiadispenteract

The great tesseractitriacontadiadispenteract, or getitdin, is a nonconvex uniform polyteron. It consists of 40 tesseracts, 32 rectified pentachora, 10 great tesseractitesseractihexadecachora, and 10 great cubihexadecadisoctachora. 1 great tesseractitesseractihexadecachoron, 1 tesseract, 1 truncated pentachoron, and 3 great cubihexadecadisoctachora join at each vertex.

The great tesseractitriacontadiadispenteract contains the vertices of a great cubihexadecadisoctachoric prism and square-quasitruncated cuboctahedral duoprism.

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

Related polytopes
The great tesseractitriacontadiadispenteract is the colonel of a regiment of 7 members.