Chirododecafold cuboctaswirlchoron

The chirododecafold cuboctaswirlchoron is an isogonal polychoron with 96 triangular gyroprisms, 144 rhombic disphenoids, 288 phyllic disphenoids, and 144 vertices. 4 triangular gyroprisms, 4 rhombic disphenoids, and 8 phyllic disphenoids join at each vertex. 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 and even sign changes of the first and third coordinates 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+3)π/24)/$\sqrt{2}$, cos((4k+3)π/24)/$\sqrt{2}$, cos((4k-3)π/24)/$\sqrt{2}$, sin((4k-3)π/24)/$\sqrt{2}$),