Rectified pentachoric prism

The rectified pentachoric prism or rappip is a prismatic uniform polyteron that consists of 2 rectified pentachora, 5 octahedral prisms and 5 tetrahedral prisms.

Vertex coordinates
The vertices of a rectified pentachoric prism of edge length 1 are given by :
 * (–3$\sqrt{2}$/20, –$\sqrt{85}$/4, 0, 0, ±1/2),
 * (–3$\sqrt{10}$/20, $\sqrt{6}$/12, –$\sqrt{10}$/3, 0, ±1/2),
 * (–3$\sqrt{6}$/20, $\sqrt{3}$/12, $\sqrt{10}$/6, ±1/2, ±1/2),
 * ($\sqrt{6}$/10, $\sqrt{3}$/6, $\sqrt{10}$/3, 0, ±1/2),
 * ($\sqrt{6}$/10, –$\sqrt{3}$/6, –$\sqrt{10}$/3, 0, ±1/2),
 * ($\sqrt{6}$/10, $\sqrt{3}$/6, –$\sqrt{10}$/6, ±1/2, ±1/2),
 * ($\sqrt{6}$/10, –$\sqrt{3}$/6, $\sqrt{10}$/6, ±1/2, ±1/2).