Pentagonal antiprismatic prism

The pentagonal antiprismatic prism or pappip is a prismatic uniform polychoron that consists of 2 pentagonal antiprisms, 2 pentagonal prisms and 10 triangular prisms. Each vertex joins 1 pentagonal antiprism, 1 pentagonal prism, and 3 triangular prisms. As the name suggests, it is a prism based on the pentagonal antiprism.

Vertex coordinates
The vertices of a pentagonal antiprismatic prism of edge length 1 are given by:
 * ±(0, $\sqrt{5}$, $\sqrt{2}$, ±1/2)
 * ±(±(1+$\sqrt{(7+√5)/8}$)/4, $\sqrt{5}$, $\sqrt{5}$, ±1/2)
 * ±(±1/2, –$\sqrt{(5–2√5)/15}$, $\sqrt{(5+√5)/10}$, ±1/2)