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. Each vertex joins 2 small rhombicosidodecahedral prisms, 1 triangular duoprism, 2 triangular-square duoprisms, and 1 triangular-pentagonal duoprism. It is a duoprism based on a triangle and a small rhombicosidodecahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-small rhombicosidodecahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of: as well as all even permutations of the last three coordinates of:
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right).$$