Decagonal-cubic duoprism

The decagonal-cubic duoprism or dacube, also known as the square-decagonal duoprismatic prism, is a convex uniform duoprism that consists of 10 tesseracts and 6 square-decagonal duoprisms. Each vertex joins 2 tesseracts and 3 square-decagonal duoprisms. It is a duoprism based on a square and a decagonal prism, which makes it a convex segmentoteron.

This polyteron can be alternated into a pentagonal-tetrahedral duoantiprism, although it cannot be made uniform.

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

Representations
A decagonal-cubic duoprism has the following Coxeter diagrams:
 * x10o x4o3o (full symmetry)
 * x x4o x10o (square-decagonal duoprismatic prism)
 * x x x x10o (decagonal prismatic prismatic prism)