Icosafold diantiprismatoswirlchoron

The icosafold diantiprismatoswirlchoron is an isogonal polychoron with 40 rhombic disphenoids, 160 phyllic disphenoids of two kinds, 480 irregular tetrahedra of three kinds, and 80 vertices. 2 rhombic disphenoids, 8 phyllic disphenoids, and 24 irregular tetrahedra join at each vertex. 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:$$\sqrt{\frac{20+5\sqrt5+4\sqrt{25+10\sqrt5}}{5}}$$ ≈ 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)),