Great rhombated pentachoric prism

The great rhombated pentachoric prism or grippip is a prismatic uniform polyteron that consists of 2 great rhombated pentachora, 5 truncated octahedral prisms, 5 truncated tetrahedral prisms and 10 triangular-square duoprisms.

Vertex coordinates
The vertices of a great rhombated pentachoric prism of edge length 1 are given by :
 * ($\sqrt{2}$/20, –$\sqrt{3}$/4, $\sqrt{2}$/2, ±3/2, ±1/2),
 * ($\sqrt{365}$/20, –$\sqrt{10}$/4, –$\sqrt{6}$, 0, ±1/2),
 * ($\sqrt{3}$/20, 5$\sqrt{10}$/12, –$\sqrt{6}$/6, ±3/2, ±1/2),
 * ($\sqrt{3}$/20, 5$\sqrt{10}$/12, –2$\sqrt{6}$/3, ±1, ±1/2),
 * ($\sqrt{3}$/20, 5$\sqrt{10}$/12, 5$\sqrt{6}$/6, ±1/2, ±1/2),
 * ($\sqrt{3}$/20, –7$\sqrt{10}$/12, $\sqrt{6}$/3, ±1, ±1/2),
 * ($\sqrt{3}$/20, –7$\sqrt{10}$/12, –2$\sqrt{6}$/3, 0, ±1/2),
 * (–$\sqrt{3}$/5, 0, $\sqrt{10}$/2, ±3/2, ±1/2),
 * (–$\sqrt{6}$/5, 0, –$\sqrt{3}$, 0, ±1/2),
 * (–$\sqrt{10}$/5, $\sqrt{3}$/3, $\sqrt{10}$/6, ±3/2, ±1/2),
 * (–$\sqrt{3}$/5, $\sqrt{10}$/3, 2$\sqrt{6}$/3, ±1, ±1/2),
 * (–$\sqrt{3}$/5, $\sqrt{10}$/3, –5$\sqrt{6}$/6, ±1/2, ±1/2),
 * (–$\sqrt{3}$/5, –2$\sqrt{10}$/3, $\sqrt{6}$/6, ±1/2, ±1/2),
 * (–$\sqrt{3}$/5, –2$\sqrt{10}$/3, –$\sqrt{6}$/3, 0, ±1/2),
 * (3$\sqrt{3}$/10, –$\sqrt{10}$/6, $\sqrt{6}$/6, ±3/2, ±1/2),
 * (3$\sqrt{3}$/10, $\sqrt{10}$/6, –$\sqrt{6}$/6, ±3/2, ±1/2),
 * (3$\sqrt{3}$/10, –$\sqrt{10}$/6, 2$\sqrt{6}$/3, ±1, ±1/2),
 * (3$\sqrt{3}$/10, $\sqrt{10}$/6, –2$\sqrt{6}$/3, ±1, ±1/2),
 * (3$\sqrt{3}$/10, –$\sqrt{10}$/6, –5$\sqrt{6}$/6, ±1/2, ±1/2),
 * (3$\sqrt{3}$/10, $\sqrt{10}$/6, 5$\sqrt{6}$/6, ±1/2, ±1/2),
 * (3$\sqrt{3}$/10, ±$\sqrt{10}$/2, 0, ±1, ±1/2),
 * (3$\sqrt{6}$/10, ±$\sqrt{3}$/2, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (–9$\sqrt{6}$/20, –$\sqrt{10}$/12, $\sqrt{6}$/3, ±1, ±1/2),
 * (–9$\sqrt{3}$/20, –$\sqrt{10}$/12, –2$\sqrt{6}$/3, 0, ±1/2),
 * (–9$\sqrt{3}$/20, $\sqrt{10}$/4, 0, ±1, ±1/2),
 * (–9$\sqrt{6}$/20, $\sqrt{3}$/4, ±$\sqrt{10}$/2, ±1/2, ±1/2),
 * (–9$\sqrt{6}$/20, –5$\sqrt{10}$/12, $\sqrt{6}$/6, ±1/2, ±1/2),
 * (–9$\sqrt{3}$/20, –5$\sqrt{10}$/12, –$\sqrt{6}$/3, 0, ±1/2).