Decagonal-truncated cubic duoprism

The decagonal-truncated cubic duoprism or datic is a convex uniform duoprism that consists of 10 truncated cubic prisms, 6 octagonal-decagonal duoprisms and 8 triangular-decagonal duoprisms. Each vertex joins 2 truncated cubic prisms, 1 triangular-decagonal duoprism, and 2 octagonal-decagonal duoprisms.

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

Representations
A decagonal-truncated cubic duoprism has the following Coxeter diagrams:
 * x10o x4x3o (full symmetry)
 * x5x x4x3o (decagons as dipentagons)