Triangular-small rhombicosidodecahedral duoprism

The triangular-small rhombicosidodecahedral duoprism or trasrid is a convex uniform duoprism that consists of 3 small rhombicosidodecahedral prisms, 12 triangular-pentagonal duoprisms, 20 triangular duoprisms and 30 triangular-square duoprisms.

Vertex coordinates
The vertices of a triangular-small rhombicosidodecahedral duoprism of edge length 1 are given by all permutations and sign changes of the last three coordinates of: as well as all even permuations and all sign changes of the last three coordinates of:
 * (0, $\sqrt{111+36√5}$/3, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (±1/2, -$\sqrt{5}$/6, ±1/2, ±1/2, ±(2+$\sqrt{3}$)/2)
 * (0, $\sqrt{5}$/3, 0, ±(3+$\sqrt{3}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±1/2, -$\sqrt{5}$/6, 0, ±(3+$\sqrt{3}$)/4, ±(5+$\sqrt{5}$)/4)
 * (0, $\sqrt{5}$/3, ±(1+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±1/2, -$\sqrt{5}$/6, ±(1+$\sqrt{3}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)