Square ditetragoltriate

The square ditetragoltriate, also known as the 8-3 quadruple step prism, is a convex isogonal polychoron and the second member of the ditetragoltriates that consists of 8 square prisms and 16 rectangular trapezoprisms. However, it cannot be made uniform.

This polychoron can be alternated into a digonal double antiprismoid, which is also nonuniform.

It can be constructed as a subsymmetrical faceting of the truncated hexadecachoron.

Vertex coordinates
The vertices of a square ditetragoltriate, assuming that the trapezoids have three equal edges of length 1, centered at the origin, are given by:
 * (±1/2, ±1/2, ±1, ±1),
 * (±1, ±1, ±1/2, ±1/2).