Hexagonal tetraswirlprism

The hexagonal tetraswirlprism is a convex isogonal polychoron and member of the duoprismatic swirlprism family that consists of 48 hexagonal gyroprisms, 144 rhombic disphenoids, and 288 phyllic disphenoids. 4 hexagonal gyroprisms, 4 rhombic disphenoids, and 8 phyllic disphenoids join at each vertex. It can be obtained as a subsymmetrical faceting of the icositetragonal duoprism. It is the fourth in an infinite family of isogonal hexagonal dihedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{1}{\sqrt{4-\sqrt6-\sqrt2}}$$ ≈ 1:2.70868.