Decagonal-small rhombicuboctahedral duoprism

The decagonal-small rhombicuboctahedral duoprism or dasirco is a convex uniform duoprism that consists of 10 small rhombicuboctahedral prisms, 18 square-decagonal duoprisms of two kinds, and 8 triangular-decagonal duoprisms. Each vertex joins 2 small rhombicuboctahedral prisms, 1 triangular-decagonal duoprism, and 3 square-decagonal duoprisms.

This polychoron can be tetrahedrally alternated into a pentagonal-truncated tetrahedral duoalterprism, although it cannot be made scaliform.

Vertex coordinates
The vertices of a decagonal-small rhombicuboctahedral duoprism of edge length 1 are given by all permutations of the last three coordinates of:
 * $$\left(0,\,±\frac{1+\sqrt5}2,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\sqrt{\frac{5+\sqrt5}8},\,±\frac{3+\sqrt5}4,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right),$$
 * $$\left(±\frac{\sqrt{5+2\sqrt5}}2,\,±\frac12,\,±\frac12,\,±\frac12,\,±\frac{1+\sqrt2}{2}\right).$$

Representations
A decagonal-small rhombicuboctahedral duoprism has the following Coxeter diagrams:
 * x10o x4o3x (full symmetry)
 * x5x o4x3o (decagons as dipentagons)