Decagonal trioprism

The decagonal trioprism or detip is a convex uniform trioprism that consists of 30 decagonal duoprismatic prisms.

This polypeton can be alternated into a pentagonal trioantiprism, although it cannot be made uniform.

Vertex coordinates
The vertices of a decagonal trioprism of edge length 1 are given by:
 * (0, ±(1+$\sqrt{18+6√5}$)/2, 0, ±(1+$\sqrt{5}$)/2, 0, ±(1+$\sqrt{5}$)/2),
 * (0, ±(1+$\sqrt{5}$)/2, 0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (0, ±(1+$\sqrt{5}$)/2, 0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/2, ±1/2),
 * (0, ±(1+$\sqrt{5+2√5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2),
 * (0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/2, ±1/2),
 * (0, ±(1+$\sqrt{5+2√5}$)/2, ±$\sqrt{5}$/2, ±1/2, 0, ±(1+$\sqrt{5+2√5}$)/2),
 * (0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2),
 * (±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2, 0, ±(1+$\sqrt{5}$)/2),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2, ±$\sqrt{5}$/2, ±1/2),
 * (±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/2, ±1/2),
 * (±$\sqrt{5+2√5}$/2, ±1/2, 0, ±(1+$\sqrt{5+2√5}$)/2, 0, ±(1+$\sqrt{5}$)/2),
 * (±$\sqrt{5}$/2, ±1/2, 0, ±(1+$\sqrt{5+2√5}$)/2, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (±$\sqrt{5}$/2, ±1/2, 0, ±(1+$\sqrt{5+2√5}$)/2, ±$\sqrt{5}$/2, ±1/2),
 * (±$\sqrt{5+2√5}$/2, ±1/2, ±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, ±(1+$\sqrt{5}$)/2),
 * (±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±$\sqrt{5}$/2, ±1/2),
 * (±$\sqrt{5+2√5}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2, 0, ±(1+$\sqrt{5+2√5}$)/2),
 * (±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2, ±$\sqrt{5+2√5}$/4, ±(3+$\sqrt{10+2√5}$)/4),
 * (±$\sqrt{5}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2, ±$\sqrt{5+2√5}$/2, ±1/2).