Pentagrammic cuploid prism

The  is a segmentochoron. It consists of 2 pentagrammic cuploids, 1 pentagrammic antiprism, 5 triangular prisms, and 5 cubes.

It appears as a facet of the medial hecatonicosafaceted prismatodishecatonicosachoric alterprism.

Vertex coordinates
A of edge length 1, centered at the origin, has vertices given by the following coordinates:


 * $$\left(\pm\frac12,\,-\sqrt{\frac{5+2\sqrt5}{20}},\,0,\,\pm\frac12\right),$$
 * $$\left(\pm\frac{\sqrt5+1}{4},\,\sqrt{\frac{5-\sqrt5}{40}},\,0,\,\pm\frac12\right),$$
 * $$\left(0,\,\sqrt{\frac{5+\sqrt5}{10}},\,0,\,\pm\frac12\right),$$
 * $$\left(0,\,-\sqrt{\frac{5-\sqrt5}{10}},\,\sqrt{\frac{5+\sqrt5}{10}},\,\pm\frac12\right),$$
 * $$\left(\pm\frac12,\,-\sqrt{\frac{5-2\sqrt5}{20}},\,\sqrt{\frac{5+\sqrt5}{10}},\,\pm\frac12\right),$$
 * $$\left(\pm\frac{\sqrt5-1}{4},\,\sqrt{\frac{5+\sqrt5}{40}},\,\sqrt{\frac{5+\sqrt5}{10}},\,\pm\frac12\right).$$