Chirohexafold diantiprismatoswirlchoron

The chirohexafold diantiprismatoswirlchoron is an isogonal polychoron with 24 rhombic disphenoids, 24 phyllic disphenoids, 48 irregular tetrahedra and 24 vertices. It is the first in an infinite family of isogonal chiral digonal antiprismatic swirlchora.

The ratio between the longest and shortest edges is 1:$\sqrt{50-5√5}$/5 ≈ 1:1.24611.

Vertex coordinates
Coordinates for the vertices of a chirohexafold diantiprismatoswirlchoron of circumradius 1, centered at the origin, are given by, along with their 180° rotations in the xy axis of: where a = 1/2, b = (1+$\sqrt{5}$)/4 and k is an integer from 0 to 2.
 * ±(a*sin(kπ/3), a*cos(kπ/3), b*cos(kπ/3), b*sin(kπ/3)),
 * ±(b*sin((k+1)π/3), b*cos((k+1)π/3), a*cos(kπ/3), a*sin(kπ/3)),