Square retroprism

The square retroprism, also called the square crossed antiprism, is a prismatic isogonal polyhedron. It consists of 2 base squares and 8 isosceles triangles. Each vertex joins one square and three triangles. It is a crossed antiprism based on a square, seen as a 4/3-gon rather than 4/1. It cannot be made uniform.

It is isomorphic to the square antiprism.

In vertex figures
A square retroprism with base edges of length 1 and side edges of length $$\sqrt{2+\sqrt2}$$ occurs as the vertex figure of the small distetracontoctachoron. One using side edges of length $$\sqrt2$$ occurs as vertex figure of the quasiprismatotetracontoctachoron.

Related polyhedra
There are an infinite amount of prismatic isogonal compounds that are the crossed antiprisms of compounds of squares.