Decagonal-small rhombicosidodecahedral duoprism

The decagonal-small rhombicosidodecahedral duoprism or dasrid is a convex uniform duoprism that consists of 10 small rhombicosidodecahedral prisms, 12 pentagonal-decagonal duoprisms, 30 square-decagonal duoprisms and 20 triangular-decagonal duoprisms. Each vertex joins 2 small rhombicosidodecahedral prisms, 1 triangular-decagonal duoprism, 2 square-decagonal duoprisms, and 1 pentagonal-decagonal duoprism.

Vertex coordinates
The vertices of a decagonal-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 permutations and all sign changes of the last three coordinates of:
 * (0, ±(1+$\sqrt{17+6√5}$)/2, ±1/2, ±1/2, ±(2+$\sqrt{2}$)/2)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{2}$)/4, ±1/2, ±1/2, ±(2+$\sqrt{(5+√5)/2}$)/2)
 * (±$\sqrt{2}$/2, ±1/2, ±1/2, ±1/2, ±(2+$\sqrt{5}$)/2)
 * (0, ±(1+$\sqrt{5}$)/2, 0, ±(3+$\sqrt{10+2√5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{5+2√5}$)/4, 0, ±(3+$\sqrt{5}$)/4, ±(5+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/2, ±1/2, 0, ±(3+$\sqrt{5}$)/4, ±(5+$\sqrt{10+2√5}$)/4)
 * (0, ±(1+$\sqrt{5}$)/2, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5+2√5}$)/4)
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)
 * (±$\sqrt{5}$/2, ±1/2, ±(1+$\sqrt{10+2√5}$)/4, ±(1+$\sqrt{5}$)/2, ±(3+$\sqrt{5}$)/4)

The vertices of a decagonal-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:
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac{2+\sqrt5}2\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,0,\,±\frac{3+\sqrt5}4,\,±\frac{5+\sqrt5}4\right),$$
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac{1+\sqrt5}4,\,±\frac{1+\sqrt5}2,\,±\frac{3+\sqrt5}4\right).$$

Representations
A decagonal-small rhombicosidodecahedral duoprism has the following Coxeter diagrams:
 * x10o x5o3x (full symmetry)
 * x5x x5o3x (decagons as dipentagons)