Triangular-icosidodecahedral duoprism

The triangular-icosidodecahedral duoprism or trid is a convex uniform duoprism that consists of 3 icosidodecahedral prisms, 12 triangular-pentagonal duoprisms and 20 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-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:
 * (0, $\sqrt{66+18√5}$/3, 0, 0, (1+$\sqrt{3}$)/2)
 * (±1/2, -$\sqrt{5}$/6, 0, 0, (1+$\sqrt{3}$)/2)
 * (0, $\sqrt{5}$/3, ±1/2, ±(1+$\sqrt{3}$)/4, ±(3+$\sqrt{5}$)/4)
 * (±1/2, -$\sqrt{5}$/6, ±1/2, ±(1+$\sqrt{3}$)/4, ±(3+$\sqrt{5}$)/4)