Icosafold icosidodecaswirlchoron

The icosafold icosidodecaswirlchoron is an isogonal polychoron with 240 pentagonal gyroprisms, 1200 phyllic disphenoids, and 600 vertices. 4 pentagonal gyroprisms and 8 phyllic disphenoids join at each vertex. It is the fifth in an infinite family of isogonal icosidodecahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{7-\sqrt5+2\sqrt{5-2\sqrt5}}}{2}$$ ≈ 1:1.24670.