Swirlprismatodiminished rectified icositetrachoron

The swirlprismatodiminished rectified icositetrachoron or spidrico is an isogonal polychoron with 24 chiral rectified triangular prisms, 24 triangular prisms, 24 triangular antiprisms and 72 vertices.

It can be constructed by removing an inscribed icositetrachoron of edge length $\sqrt{3}$ from a rectified icositetrachoron.

Vertex coordinates
Coordinates for the vertices of a swirlprismatodiminished rectified icositetrachoron of circumradius $\sqrt{3}$, centered at the origin, are given by:
 * ±($\sqrt{3}$/3, 0, $\sqrt{2}$, $\sqrt{2/3}$),
 * ±(-$\sqrt{3}$/6, ±1/2, $\sqrt{2}$, $\sqrt{2/3}$),
 * ±(0, 1, $\sqrt{2}$, 0),
 * ±(±$\sqrt{3}$/2, -1/2, $\sqrt{2}$, 0),
 * ±(-$\sqrt{3}$/3, 0, $\sqrt{2}$, -$\sqrt{2/3}$),
 * ±($\sqrt{3}$/6, ±1/2, $\sqrt{2}$, -$\sqrt{2/3}$),
 * ±(0, -1, $\sqrt{2}$/2, $\sqrt{6}$/2),
 * ±(±$\sqrt{3}$/2, 1/2, $\sqrt{2}$/2, $\sqrt{6}$/2),
 * ±($\sqrt{3}$/6, 3/2, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±$\sqrt{3}$/6, -3/2, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±(2$\sqrt{3}$/3, 1, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±(2$\sqrt{3}$/3, -1, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±(-5$\sqrt{3}$/6, 1/2, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±(-5$\sqrt{3}$/6, -1/2, $\sqrt{2}$/2, $\sqrt{6}$/6),
 * ±(-$\sqrt{3}$/6, 3/2, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±{-$\sqrt{3}$/6, -3/2, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±(-2$\sqrt{3}$/3, 1, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±(-2$\sqrt{3}$/3, -1, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±(5$\sqrt{3}$/6, 1/2, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±(5$\sqrt{3}$/6, -1/2, $\sqrt{2}$/2, -$\sqrt{6}$/6),
 * ±(-$\sqrt{3}$/3, 0, 0, 2$\sqrt{6}$/3),
 * ±($\sqrt{3}$/6, ±1/2, 0, 2$\sqrt{6}$/3),
 * ±(-$\sqrt{3}$/6, 3/2, 0, $\sqrt{6}$/3),
 * ±{-$\sqrt{3}$/6, -3/2, 0, $\sqrt{6}$/3),
 * ±(-2$\sqrt{3}$/3, 1, 0, $\sqrt{6}$/3),
 * ±(-2$\sqrt{3}$/3, -1, 0, $\sqrt{6}$/3),
 * ±(5$\sqrt{3}$/6, 1/2, 0, $\sqrt{6}$/3),
 * ±(5$\sqrt{3}$/6, -1/2, 0, $\sqrt{6}$/3),
 * ±($\sqrt{3}$/6, 3/2, 0, -$\sqrt{6}$/3),
 * ±$\sqrt{3}$/6, -3/2, 0, -$\sqrt{6}$/3),
 * ±(2$\sqrt{3}$/3, 1, 0, -$\sqrt{6}$/3),
 * ±(2$\sqrt{3}$/3, -1, 0, -$\sqrt{6}$/3),
 * ±(-5$\sqrt{3}$/6, 1/2, 0, -$\sqrt{6}$/3),
 * ±(-5$\sqrt{3}$/6, -1/2, 0, -$\sqrt{6}$/3).

Isogonal derivatives
Substitution by vertices of these following elements will produce these convex isogonal polychora:
 * Chiral rectified triangular prism (24): Icositetrachoron
 * Triangular prism (24): Icositetrachoron
 * Triangular antiprism (24): Icositetrachoron
 * Triangle (24): Icositetrachoron
 * Edge (144): Non-uniform small prismatotetracontoctachoron