Great prismatodecachoric prism

The great prismatodecachoric prism or gippiddip is a prismatic uniform polyteron that consists of 2 great prismatodecachora, 10 truncated octahedral prisms and 20 square-hexagonal duoprisms.

This polychoron can be alternated into a snub decachoric antiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a great prismatodecachoric prism of edge length 1 are given by the following points, along with the central inversions of:
 * (0, $\sqrt{2}$/3, –$\sqrt{3}$/3, ±2, ±1/2, ±1/2),
 * (0, $\sqrt{2}$/3, –5$\sqrt{6}$/6, ±3/2, ±1/2),
 * (0, $\sqrt{3}$/3, 7$\sqrt{6}$/6, ±1/2, ±1/2),
 * (0, 2$\sqrt{3}$/3, –$\sqrt{6}$/6, ±3/2, ±1/2),
 * (0, 2$\sqrt{3}$/3, –2$\sqrt{6}$/3, ±1, ±1/2),
 * (0, 2$\sqrt{3}$/3, 5$\sqrt{6}$/6, ±1/2, ±1/2),
 * (±$\sqrt{3}$/2, $\sqrt{6}$/6, –$\sqrt{3}$/6, ±3/2, ±1/2),
 * (±$\sqrt{10}$/2, $\sqrt{6}$/6, –2$\sqrt{3}$/3, ±1, ±1/2),
 * (±$\sqrt{10}$/2, $\sqrt{6}$/6, 5$\sqrt{3}$/6, ±1/2, ±1/2),
 * (±$\sqrt{10}$/2, ±$\sqrt{6}$/2, 0, ±1, ±1/2),
 * (±$\sqrt{3}$/2, ±$\sqrt{10}$/2, ±$\sqrt{6}$/2, ±1/2, ±1/2),
 * ($\sqrt{10}$/4, $\sqrt{6}$/12, –$\sqrt{3}$/3, ±2, ±1/2),
 * ($\sqrt{10}$/4, $\sqrt{6}$/12, –5$\sqrt{3}$/6, ±3/2, ±1/2),
 * ($\sqrt{10}$/4, $\sqrt{6}$/12, 7$\sqrt{3}$/6, ±1/2, ±1/2),
 * ($\sqrt{10}$/4, –$\sqrt{6}$/4, 0, ±2, ±1/2),
 * ($\sqrt{3}$/4, –$\sqrt{10}$/4, ±$\sqrt{6}$, ±1, ±1/2),
 * ($\sqrt{10}$/4, –7$\sqrt{6}$/12, –$\sqrt{3}$/6, ±3/2, ±1/2),
 * ($\sqrt{10}$/4, –7$\sqrt{6}$/12, –2$\sqrt{3}$/3, ±1, ±1/2),
 * ($\sqrt{10}$/4, –7$\sqrt{6}$/12, 5$\sqrt{3}$/6, ±1/2, ±1/2),
 * ($\sqrt{10}$/4, 3$\sqrt{6}$/4, 0, ±1, ±1/2),
 * ($\sqrt{3}$/4, 3$\sqrt{10}$/4, ±$\sqrt{6}$/2, ±1/2, ±1/2).