Heptagonal-decagonal duoprismatic prism

The heptagonal-decagonal duoprismatic prism or heddip, also known as the heptagonal-decagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 heptagonal-decagonal duoprisms, 7 square-decagonal duoprisms and 10 square-heptagonal duoprisms. Each vertex joins 2 square-heptagonal duoprisms, 2 square-decagonal duoprisms, and 1 heptagonal-decagonal duoprism. Being a prism based on an orbiform polytope, it is also a convex segmentoteron.

Vertex coordinates
The vertices of a heptagonal-decagonal duoprismatic prism of edge length 2sin(π/7) are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,0,\,±(1+\sqrt5)\sin\frac\pi7,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,0,\,±(1+\sqrt5)\sin\frac\pi7,\,±\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac\pi7,\,±\frac{(3+\sqrt5)\sin\frac\pi7}2,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,±\sqrt{\frac{5+\sqrt5}2}\sin\frac\pi7,\,±\frac{(3+\sqrt5)\sin\frac\pi7}2,\,±\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,±(\sqrt{5+2\sqrt5})\sin\frac\pi7,\,±\sin\frac\pi7,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,±(\sqrt{5+2\sqrt5})\sin\frac\pi7,\,±\sin\frac\pi7,\,±\sin\frac\pi7\right),$$

Representations
A heptagonal-decagonal duoprismatic prism has the following Coxeter diagrams:
 * x x7o x10o (full symmetry)
 * x x7o x5x (decagons as dipentagons)
 * xx7oo xx10oo&#x (heptagonal-decagonal duoprism atop heptagonal-decagonal duoprism)
 * xx7oo xx5xx&#x