Hexagonal triswirlprism

The hexagonal triswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 36 hexagonal gyroprisms and 216 phyllic disphenoids. 4 hexagonal gyroprisms and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the octadecagonal duoprism. It is the third in an infinite family of isogonal hexagonal dihedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{\csc\frac{\pi}{18}}{2\sqrt2}$$ ≈ 1:2.03603.