Prismatorhombated pentachoric prism

The prismatorhombated pentachoric prism or prippip is a prismatic uniform polyteron that consists of 2 prismatorhombated pentachora, 5 cuboctahedral prisms, 5 truncated tetrahedral prisms, 10 square-hexagonal duoprisms and 10 triangular-square duoprisms.

Vertex coordinates
The vertices of a prismatorhombated pentachoric prism of edge length 1 are given by:
 * ($\sqrt{2}$/10, –$\sqrt{3}$/6, $\sqrt{2}$/6, ±3/2, ±1/2),
 * ($\sqrt{365}$/10, $\sqrt{10}$/6, –$\sqrt{6}$/6, ±3/2, ±1/2),
 * ($\sqrt{3}$/10, –$\sqrt{10}$/6, 2$\sqrt{6}$/3, ±1, ±1/2),
 * ($\sqrt{3}$/10, $\sqrt{10}$/6, –2$\sqrt{6}$/3, ±1, ±1/2),
 * ($\sqrt{3}$/10, –$\sqrt{10}$/6, –5$\sqrt{6}$/6, ±1/2, ±1/2),
 * ($\sqrt{3}$/10, $\sqrt{10}$/6, 5$\sqrt{6}$/6, ±1/2, ±1/2),
 * ($\sqrt{3}$/10, ±$\sqrt{10}$/2, 0, ±1, ±1/2),
 * ($\sqrt{6}$/10, ±$\sqrt{3}$/2, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (7$\sqrt{6}$/20, –$\sqrt{10}$/12, $\sqrt{6}$/3, ±1, ±1/2),
 * (7$\sqrt{3}$/20, –$\sqrt{10}$/12, –2$\sqrt{6}$/3, 0, ±1/2),
 * (7$\sqrt{3}$/20, $\sqrt{10}$/4, 0, ±1, ±1/2),
 * (7$\sqrt{6}$/20, $\sqrt{3}$/4, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (7$\sqrt{6}$/20, –5$\sqrt{10}$/12, $\sqrt{6}$/6, ±1/2, ±1/2),
 * (7$\sqrt{3}$/20, –5$\sqrt{10}$/12, –$\sqrt{6}$/3, 0, ±1/2),
 * (–3$\sqrt{3}$/20, $\sqrt{10}$/12, $\sqrt{6}$/6, ±3/2, ±1/2),
 * (–3$\sqrt{3}$/20, $\sqrt{10}$/12, 2$\sqrt{6}$/3, ±1, ±1/2),
 * (–3$\sqrt{3}$/20, $\sqrt{10}$/12, –5$\sqrt{6}$/6, ±1/2, ±1/2),
 * (–3$\sqrt{3}$/20, 5$\sqrt{10}$/12, $\sqrt{6}$/3, ±1, ±1/2),
 * (–3$\sqrt{3}$/20, 5$\sqrt{10}$/12, –2$\sqrt{6}$/3, 0, ±1/2),
 * (–3$\sqrt{3}$/20, –7$\sqrt{10}$/12, –$\sqrt{6}$/6, ±1/2, ±1/2),
 * (–3$\sqrt{3}$/20, –7$\sqrt{10}$/12, $\sqrt{6}$/3, 0, ±1/2),
 * (–2$\sqrt{3}$/5, 0, 0, ±1, ±1/2),
 * (–2$\sqrt{10}$/5, 0, ±$\sqrt{6}$/2, ±1/2, ±1/2),
 * (–2$\sqrt{3}$/5, –$\sqrt{10}$/3, –$\sqrt{10}$/6, ±1/2, ±1/2),
 * (–2$\sqrt{3}$/5, $\sqrt{10}$/3, $\sqrt{6}$/6, ±1/2, ±1/2),
 * (–2$\sqrt{3}$/5, –$\sqrt{10}$/3, $\sqrt{6}$/3, 0, ±1/2),
 * (–2$\sqrt{3}$/5, $\sqrt{10}$/3, –$\sqrt{6}$/3, 0, ±1/2).