Hexadecafold cuboctaswirlchoron

The hexadecafold cuboctaswirlchoron is an isogonal polychoron with 96 square antiprisms, 384 phyllic disphenoids and 192 vertices. 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)/$\sqrt{2}$),