Heptagrammic antiprism

The heptagrammic antiprism, or shap, is a prismatic uniform polyhedron. It consists of 14 triangles and 2 heptagrams. Each vertex joins one heptagram and three triangles. As the name suggests, it is an antiprism based on a heptagram. It is one of three heptagrammic antiprisms, the other two being the great heptagrammic antiprism and the great heptagrammic retroprism.

Vertex coordinates
The vertices of a heptagrammic antiprism, centered at the origin and with edge length 2sin(2π/7), are given by: where $$H=\sqrt{\frac{1+2\cos\frac{2\pi}7}{2+2\cos\frac{2\pi}7}}\sin\frac{2\pi}7.$$
 * $$\left(1,\,0,\,±H\right),$$
 * $$\left(\cos\left(\frac{2\pi}7\right),\,±\sin\left(\frac{2\pi}7\right),\,±H\right),$$
 * $$\left(\cos\left(\frac{4\pi}7\right),\,±\sin\left(\frac{4\pi}7\right),\,±H\right),$$
 * $$\left(\cos\left(\frac{6\pi}7\right),\,±\sin\left(\frac{6\pi}7\right),\,±H\right),$$