Small rhombated pentachoric prism

The small rhombated pentachoric prism or srippip is a prismatic uniform polyteron that consists of 2 small rhombated pentachora, 5 cuboctahedral prisms, 5 octahedral prisms and 10 triangular-square duoprisms.

Vertex coordinates
The vertices of a small rhombated pentachoric prism of edge length 1 are given by :
 * ($\sqrt{2}$/5, 0, 0, ±1, ±1/2),
 * ($\sqrt{165}$/5, 0, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * ($\sqrt{10}$/5, –$\sqrt{3}$/3, $\sqrt{10}$/3, 0, ±1/2),
 * ($\sqrt{6}$/5, $\sqrt{3}$/3, –$\sqrt{10}$/3, 0, ±1/2),
 * ($\sqrt{6}$/5, –$\sqrt{3}$/3, –$\sqrt{10}$/6, ±1/2, ±1/2),
 * ($\sqrt{6}$/5, $\sqrt{3}$/3, $\sqrt{10}$/6, ±1/2, ±1/2),
 * (–3$\sqrt{6}$/10, –$\sqrt{3}$/6, –$\sqrt{10}$/3, 0, ±1/2),
 * (–3$\sqrt{6}$/10, $\sqrt{3}$/6, $\sqrt{10}$/3, 0, ±1/2),
 * (–$\sqrt{6}$/20, –$\sqrt{3}$/12, –2$\sqrt{10}$/3, 0, ±1/2),
 * (–$\sqrt{6}$/20, –5$\sqrt{3}$/12, –$\sqrt{10}$/3, 0, ±1/2),
 * (–$\sqrt{6}$/20, $\sqrt{3}$/4, 0, ±1, ±1/2),
 * (–$\sqrt{10}$/20, –$\sqrt{6}$/12, $\sqrt{10}$/3, ±1, ±1/2),
 * (–$\sqrt{6}$/20, –5$\sqrt{3}$/12, $\sqrt{10}$/6, ±1/2, ±1/2),
 * (–$\sqrt{6}$/20, $\sqrt{3}$/4, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (–3$\sqrt{6}$/10, –$\sqrt{3}$/6, $\sqrt{10}$/6, ±1/2, ±1/2),
 * (–3$\sqrt{6}$/20, $\sqrt{3}$/6, –$\sqrt{10}$/6, ±1/2, ±1/2).