Quasicelligreatorhombated triacontaditeron

The quasicelligreatorhombated triacontaditeron, or quicgrat, is a nonconvex uniform polyteron. It consists of 80 square-hexagonal duoprisms, 80 truncated octahedral prisms, 40 quasirhombicuboctahedral prisms, 32 great rhombated pentachora, and 10 prismatoquasirhombated tesseracts. 1 prismatoquasirhombated tesseract, 1 quasirhombicuboctahedral prism, 1 great rhombated pentachoron, 1 square-hexagonal duoprism, and 2 truncated octahedral prisms join at each vertex. It is the quasistericantitruncation of the triacontaditeron.

Vertex coordinates
Its vertices are the same as those of its regiment colonel, the great biprismatocellitriacontadiadispenteract.