Chirododecafold cuboctaswirlchoron

The chirododecafold cuboctaswirlchoron is an isogonal polychoron with 96 triangular antiprisms, 144 rhombic disphenoids, 288 phyllic disphenoids and 144 vertices. It is the second in an infinite family of isogonal chiral cuboctahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\sqrt{4-2\sqrt2+\sqrt{18+12\sqrt2}}$$ ≈ 1:1.47858.

Vertex coordinates
Coordinates for the vertices of a chirododecafold cuboctaswirlchoron of circumradius 1, centered at the origin, are given by, along with their 180° rotations in the xy axis of: where k is an integer from 0 to 5.
 * ±(sin(kπ/6)/$\sqrt{4+2√2}$, cos(kπ/6)/$\sqrt{4+2√2}$, cos(kπ/6)/$\sqrt{4-2√2}$, sin(kπ/6)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/6)/$\sqrt{4-2√2}$, cos(kπ/6)/$\sqrt{4-2√2}$, cos(kπ/6)/$\sqrt{4+2√2}$, sin(kπ/6)/$\sqrt{4+2√2}$),
 * ±(cos((2k-1)π/12)/$\sqrt{4+2√2}$, -sin((2k-1)π/12)/$\sqrt{4+2√2}$, cos((2k-1)π/12)/$\sqrt{4-2√2}$, sin((2k-1)π/12)/$\sqrt{4-2√2}$),
 * ±(cos((2k-1)π/12)/$\sqrt{4-2√2}$, -sin((2k-1)π/12)/$\sqrt{4-2√2}$, cos((2k-1)π/12)/$\sqrt{4+2√2}$, sin((2k-1)π/12)/$\sqrt{4+2√2}$),
 * ±(sin((4k+5)π/24)/$\sqrt{2}$, cos((4k+5)π/24)/$\sqrt{2}$, cos((4k+7)π/24)/$\sqrt{2}$, sin((4k+7)π/24)/$\sqrt{2}$),
 * ±(cos((4k+3)π/24)/$\sqrt{2}$, -sin((4k+3)π/24)/$\sqrt{2}$, cos((4k+5)π/24)/$\sqrt{2}$, sin((4k+5)π/24)/$\sqrt{2}$),