Square tetraswirltegum

The square tetraswirltegum is a convex isochoric polychoron and member of the duoprismatic swirltegum family with 64 identical cells. It is the fourth in an infinite family of isochoric square hosohedral swirlchora and also the seventh in an infinite family of isochoric digonal tegmatic swirlchora, the other being the digonal double octaswirltegum.

Each cell of this polychoron has chiral digonal prismatic symmetry, with 2 rectangular-symmetric octagons, 6 rhombi, and 4 isosceles triangles for faces.