Heptagonal antiprismatic prism

The heptagonal antiprismatic prism or heappip is a prismatic uniform polychoron that consists of 2 heptagonal antiprisms, 2 heptagonal prisms, and 14 triangular prisms. Each vertex joins 1 heptagonal antiprism, 1 heptagonal prism, and 3 triangular prisms. As the name suggests, it is a prism based on the heptagonal antiprism. As such it is also a convex segmentochoron.

Vertex coordinates
The vertices of a heptagonal antiprismatic prism, centered at the origin and with edge length 2sin(π/7), are given by the following points, as well as the central inversions of their first three coordinates: where $$H=\sqrt{\frac{1+2\cos\frac\pi7}{2+2\cos\frac\pi7}}\sin\frac\pi7.$$
 * $$\left(1,\,0,\,H,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{2\pi}7\right),\,±\sin\left(\frac{2\pi}7\right),\,H,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{4\pi}7\right),\,±\sin\left(\frac{4\pi}7\right),\,H,\,±\sin\frac\pi7\right),$$
 * $$\left(\cos\left(\frac{6\pi}7\right),\,±\sin\left(\frac{6\pi}7\right),\,H,\,±\sin\frac\pi7\right),$$

Representations
A heptagonal antiprismatic prism has the following Coxeter diagrams:
 * x2s2s7s (full symmetry)
 * x2s2s14o
 * xx xo7ox&#x (heptagonal prism atop gyrated heptagonal prism)