Chirohexafold diantiprismatoswirlchoron

The chirohexafold diantiprismatoswirlchoron is an isogonal polychoron with 24 rhombic disphenoids, 24 phyllic disphenoids, 48 irregular tetrahedra, and 24 vertices. 4 rhombic disphenoids, 4 phyllic disphenoids, and 8 irregular tetrahedra join at each vertex. It is the first in an infinite family of isogonal chiral digonal antiprismatic swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{\frac{10-\sqrt5}{5}}$$ ≈ 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)),