Triangular-truncated dodecahedral duoprism

The triangular-truncated dodecahedral duoprism or tratid is a convex uniform duoprism that consists of 3 truncated dodecahedral prisms, 12 triangular-decagonal duoprisms and 20 triangular duoprisms.

Vertex coordinates
The vertices of a triangular-truncated dodecahedral duoprism of edge length 1 are given by all even permutations and all sign changes of the last three coordinates of:
 * (0, $\sqrt{714+270√5}$/3, 0, 1/2, (5+3$\sqrt{3}$)/4)
 * (0, $\sqrt{5}$/3, 1/2, (3+$\sqrt{3}$)/4, (3+$\sqrt{5}$)/2)
 * (0, $\sqrt{5}$/3, (3+$\sqrt{3}$)/4, (1+$\sqrt{5}$)/2, (2+$\sqrt{5}$)/2)
 * (±1/2, -$\sqrt{5}$/6, 0, 1/2, (5+3$\sqrt{3}$)/4)
 * (±1/2, -$\sqrt{5}$/6, 1/2, (3+$\sqrt{3}$)/4, (3+$\sqrt{5}$)/2)
 * (±1/2, -$\sqrt{5}$/6, (3+$\sqrt{3}$)/4, (1+$\sqrt{5}$)/2, (2+$\sqrt{5}$)/2)