Dodecagonal-icosidodecahedral duoprism

The dodecagonal-icosidodecahedral duoprism or twid is a convex uniform duoprism that consists of 12 icosidodecahedral prisms, 12 pentagonal-dodecagonal duoprisms and 20 triangular-dodecagonal duoprisms.

Vertex coordinates
The vertices of a dodecagonal-icosidodecahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of: as well as all even permutations and all sign changes of the last three coordinates of:
 * (±(1+$\sqrt{14+2√17+4√15}$)/2, ±(1+$\sqrt{3}$)/2, 0, 0, (1+$\sqrt{3}$)/2)
 * (±1/2, ±(2+$\sqrt{5}$)/2, 0, 0, (1+$\sqrt{3}$)/2)
 * (±(2+$\sqrt{5}$)/2, ±1/2, 0, 0, (1+$\sqrt{3}$)/2)
 * (±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{3}$)/2, ±1/2, ±(1+$\sqrt{3}$)/4, ±(3+$\sqrt{5}$)/4)
 * (±1/2, ±(2+$\sqrt{5}$)/2, ±1/2, ±(1+$\sqrt{3}$)/4, ±(3+$\sqrt{5}$)/4)
 * (±(2+$\sqrt{5}$)/2, ±1/2, ±1/2, ±(1+$\sqrt{3}$)/4, ±(3+$\sqrt{5}$)/4)