Quasicellirhombipenteractitriacontaditeron

The quasicellirhombipenteractitriacontaditeron or quacrant, is a nonconvex uniform polyteron. It consists of 80 triangular-square duoprisms, 80 cuboctahedral prisms, 40 quasirhombicuboctahedral prisms, 32 small rhombated pentachora, and 10 quasirhombated tesseracts. 1 triangular-square duoprism, 1 quasirhombated tesseract, 1 small rhombated pentachoron, 2 quasirhombicuboctahedral prisms, and 2 cuboctahedral prisms join at each vertex. It is the quasistericantellation of the penteract or its dual triacontaditeron.

Vertex coordinates
Its vertices are the same as tohse of its regiment colonel, the sphenary cellibiprismatopenteractipenteractitriacontaditeron.