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. Each vertex joins 2 icosidodecahedral prisms, 2 triangular duoprisms, and 2 triangular-pentagonal duoprisms. It is a duoprism based on a triangle and an icosidodecahedron, which makes it a convex segmentoteron.

Vertex coordinates
The vertices of a triangular-icosidodecahedral 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:
 * $$\left(0,\,\frac{\sqrt3}3,\,0,\,0,\,±\frac{1+\sqrt5}2\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,0,\,0,\,±\frac{1+\sqrt5}2\right),$$
 * $$\left(0,\,\frac{\sqrt3}3,\,±\frac12,\,±\frac{1+\sqrt5}4,\,±\frac{3+\sqrt5}4\right),$$
 * $$\left(±\frac12,\,-\frac{\sqrt3}6,\,±\frac12,\,±\frac{1+\sqrt5}4,\,±\frac{3+\sqrt5}4\right).$$