Tetragonal-antiwedge chirohexafold diantiprismatoswirlchoron

The tetragonal-antiwedge chirohexafold diantiprismatoswirlchoron is an isogonal polychoron with 24 tetragonal antiwedges, 24 phyllic disphenoids, and 24 vertices. 6 tetragonal antiwedges and 4 phyllic disphenoids join at each vertex.

The ratio between the longest and shortest edges is 1:$$\frac{1+\sqrt5}{2}$$ ≈ 1:1.61803.

Vertex coordinates
Coordinates for the vertices of a tetragonal-antiwedge chirohexafold diantiprismatoswirlchoron of circumradius 1, centered at the origin, are given by, along with all even permutations of the last two coordinates of:
 * $$±\left(0,\,0,\,1,\,0\right),$$
 * ±\left(0,\,0,\,\frac12,\,\frac{\sqrt3}{2}\right),
 * $$±\left(0,\,0,\,\frac12,\,-\frac{\sqrt3}{2}\right),$$
 * $$±\left(0,\,1,\,0,\,0\right),$$
 * $$±\left(\frac{\sqrt3}{2},\,\frac12,\,0,\,0\right),$$
 * $$±\left(\frac{\sqrt3}{2},\,-\frac12,\,0,\,0\right),$$
 * $$±\left(\frac{\sqrt{15}-\sqrt3}{8},\,\frac{3+\sqrt5}{8},\,\frac{3-\sqrt5}{8},\,\frac{\sqrt3+\sqrt{15}}{8}\right),$$
 * $$±\left(\frac{\sqrt3}{4},\,-\frac{\sqrt5}{4},\,\frac{3+\sqrt5}{8},\,\frac{\sqrt{15}-\sqrt3}{8}\right),$$
 * $$±\left(\frac{\sqrt3+\sqrt{15}}{8},\,\frac{3-\sqrt5}{8},\,\frac{\sqrt5}{4},\,-\frac{\sqrt3}{4}\right).$$