Square triswirlprism

The square triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 24 square gyroprisms and 96 phyllic disphenoids. 4 square gyroprisms and 8 disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the dodecagonal duoprism. It is the third in an infinite family of isogonal square dihedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{2+\sqrt3}$$ ≈ 1:1.93185.

Vertex coordinates
Coordinates for the vertices of a square triswirlprism constructed as the convex hull of three square duoprisms of edge length 1, are given as Cartesian products of the vertices of square S 1:
 * S 1 × S 1,
 * S 2 × S 2 (S 1 rotated 30 degrees),
 * S 3 × S 3 (S 1 rotated 60 degrees).