Hexafold pyritocuboctaswirlchoron

The hexafold pyritocubiswirlchoron is an isogonal polychoron with 48 triangular antiprisms, 288 phyllic disphenoids of two kinds and 72 vertices. It is the first in an infinite family of isogonal pyritohedral cuboctahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{18+6\sqrt6}}{3}$$ ≈ 1:1.90604.