Quasicelligreatorhombated penteract

The quasicelligreatorhombated penteract, or quacgarn, is a nonconvex uniform polyteron. It consists of 80 cuboctahedral prisms, 80 triangular-octagrammic duoprisms, 40 quasitruncated cuboctahedral prisms, 10 great quasirhombated tesseracts, and 32 prismatorhombated pentachora. 1 prismatorhombated pentachoron, 1 cuboctahedral prism, 1 great quasirhombated tesseract, 1 triangular-octagrammic duoprism, and 2 quasitruncated cuboctahedral prisms join at each vertex. It is the quasistericantitruncation of the penteract.

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

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