Icosafold diantiprismatoswirlchoron

The icosafold diantiprismatoswirlchoron is an isogonal polychoron with 24 rhombic disphenoids, 48 phyllic disphenoids, 192 irregular tetrahedra of two kinds and 80 vertices. It is the fifth in an infinite family of isogonal digonal antiprismatic swirlchora.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$\sqrt{100+25√5+20√25+10√5}$/5 ≈ 1:3.42660.

Vertex coordinates
Coordinates for the vertices of an icosafold diantiprismatoswirlchoron, centered at the origin, are given by, along with their 180° rotations in the xy axis of: where a = $\sqrt{50-5√50-10√5}$/10, b = $\sqrt{50+5√50-10√5}$/10 and k is an integer from 0 to 9.
 * ±(a*sin(kπ/10), a*cos(kπ/10), b*cos(kπ/10), b*sin(kπ/10)),
 * ±(b*sin((k+5)π/10), b*cos((k+5)π/10), a*cos(kπ/10), a*sin(kπ/10)),