Great heptagrammic antiprismatic prism

The great heptagrammic antiprismatic prism or gishappip is a prismatic uniform polychoron that consists of 2 great heptagrammic antiprisms, 2 great heptagrammic prisms, and 14 triangular prisms. Each vertex joins 1 great heptagrammic antiprism, 1 great heptagrammic prism, and 3 triangular prisms. As the name suggests, it is a prism based on the great heptagrammic antiprism. Being a prism based on an orbiform polytope, it is also a segmentochoron.

Vertex coordinates
The vertices of a great heptagrammic antiprismatic prism, centered at the origin and with edge length 2sin(3π/7), are given by the following points, as well as the central inversions of their first three coordinates: where $$H=\sqrt{\frac{1+2\cos\frac{3\pi}7}{2+2\cos\frac{3\pi}7}}\sin\frac{3\pi}7.$$
 * $$\left(1,\,0,\,H,\,±\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{2\pi}7\right),\,±\sin\left(\frac{2\pi}7\right),\,H,\,±\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{4\pi}7\right),\,±\sin\left(\frac{4\pi}7\right),\,H,\,±\sin\frac{3\pi}7\right),$$
 * $$\left(\cos\left(\frac{6\pi}7\right),\,±\sin\left(\frac{6\pi}7\right),\,H,\,±\sin\frac{3\pi}7\right),$$

Representations
A great heptagrammic antiprismatic prism has the following Coxeter diagrams:
 * x2s2s14/3o (full symmetry)
 * x2s2s7/3s
 * xx xo7/3ox&#x (great heptagrammic prism atop gyrated great heptagrammic prism)