Dodecafold diantiprismatoswirlchoron

The dodecafold diantiprismatoswirlchoron is an isogonal polychoron with 24 rhombic disphenoids, 48 phyllic disphenoids, 192 irregular tetrahedra of two kinds, and 48 vertices. 2 rhombic disphenoids, 4 phyllic dispehnoids, and 16 irregular tetrahedraa join at each vertex. It is the third 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:$$\frac{\sqrt{10+4\sqrt3}}{2}$$ ≈ 1:2.05719.

Vertex coordinates
Coordinates for the vertices of a dodecafold diantiprismatoswirlchoron, centered at the origin, are given by, along with their 180° rotations in the xy axis of: where a = 1/2, b = $\sqrt{3}$/2 and k is an integer from 0 to 5.
 * ±(a*sin(kπ/6), a*cos(kπ/6), b*cos(kπ/6), b*sin(kπ/6)),
 * ±(b*sin((k+3)π/6), b*cos((k+3)π/6), a*cos(kπ/6), a*sin(kπ/6)),