Quasicellipenteractitriacontaditeron

The quasicellipenteractitriacontaditeron or quacant, is a nonconvex uniform polyteron. It consists of 32 regular pentachora, 80 tetrahedral prisms, 80 triangular-square duoprisms, and 10+40 tesseracts. 1 pentachoron, 4 tetrahedral prisms, 6 triangular-square duoprisms, and 1+4 tesseracts join at each vertex. It can be formed by pushing the facets of either the penteract or its dual triacontaditeron inward.

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