Hexadecafold cuboctaswirlchoron

The hexadecafold cuboctaswirlchoron is an isogonal polychoron with 96 square gyroprisms, 384 phyllic disphenoids, and 192 vertices. 4 square gyroprisms and 8 phyllic disphenoids join at each vertex. It is the second in an infinite family of isogonal cuboctahedral swirlchora.

The ratio between the longest and shortest edges is 1:$$\frac{\sqrt{6+2\sqrt{4-2\sqrt2}}}{2}$$ ≈ 1:1.42870.

Vertex coordinates
Coordinates for the vertices of a hexadecafold cuboctaswirlchoron of circumradius 1, centered at the origin, are given by, along with their 90°, 180° and 270° rotations in the xy axis of: where k is an integer from 0 to 7.
 * ±(sin(kπ/8)/$\sqrt{4+2√2}$, cos(kπ/8)/$\sqrt{4+2√2}$, cos(kπ/8)/$\sqrt{4-2√2}$, sin(kπ/8)/$\sqrt{4-2√2}$),
 * ±(sin(kπ/8)/$\sqrt{4-2√2}$, cos(kπ/8)/$\sqrt{4-2√2}$, cos(kπ/8)/$\sqrt{4+2√2}$, sin(kπ/8)/$\sqrt{4+2√2}$),
 * ±(sin((2k+2)π/16)/$\sqrt{2}$, cos((2k+2)π/16)/$\sqrt{2}$, cos((2k-2)π/16)/$\sqrt{2}$, sin((2k-2)π/16)/$\sqrt{2}$),