Heptagonal-hexagonal antiprismatic duoprism

The heptagonal-hexagonal antiprismatic duoprism or hehap is a convex uniform duoprism that consists of 7 hexagonal antiprismatic prisms, 2 hexagonal-heptagonal duoprisms, and 12 triangular-heptagonal duoprisms. Each vertex joins 2 hexagonal antiprismatic prisms, 3 triangular-heptagonal duoprisms, and 1 hexagonal-heptagonal duoprism.

Vertex coordinates
The vertices of a heptagonal-hexagonal antiprismatic duoprism of edge length 2sin(π/7) are given by: where j = 2, 4, 6.
 * $$\left(1,\,0,\,±\sin\frac\pi7,\,±\sqrt3\sin\frac\pi7,\,\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,±2\sin\frac\pi7,\,0,\,\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,±\sqrt3\sin\frac\pi7,\,±\sin\frac\pi7,\,-\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(1,\,0,\,0,\,±2\sin\frac\pi7,\,-\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,±\sin\frac\pi7,\,±\sqrt3\sin\frac\pi7,\,\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,±2\sin\frac\pi7,\,0,\,\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,±\sqrt3\sin\frac\pi7,\,±\sin\frac\pi7,\,-\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$
 * $$\left(\cos\frac{j\pi}7,\,±\sin\frac{j\pi}7,\,0,\,±2\sin\frac\pi7,\,-\sqrt{\sqrt3-1}\sin\frac\pi7\right),$$

Representations
A heptagonal-hexagonal antiprismatic duoprism has the following Coxeter diagrams:
 * x7o s2s12o (full symmetry; hexagonal antiprisms as alternated dodecagonal prisms)
 * x7o s2s6s (hexagonal antiprisms as alternated dihexagonal prisms)