Enneagonal-pentagonal antiprismatic duoprism

The enneagonal-pentagonal antiprismatic duoprism or epap is a convex uniform duoprism that consists of 9 pentagonal antiprismatic prisms, 2 pentagonal-enneagonal duoprisms and 10 triangular-enneagonal duoprisms.

Vertex coordinates
The vertices of a decagonal-pentagonal antiprismatic duoprism of edge length 1 are given by all central inversions of the last three coordinates of:
 * (0, ±(1+$\sqrt{10+2√5+4csc^{2}π/9}$)/2, 0, $\sqrt{5}$/10, $\sqrt{50+10√5}$/20)
 * (0, ±(1+$\sqrt{50+10√5}$)/2, ±(1+$\sqrt{5}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/20)
 * (0, ±(1+$\sqrt{50+10√5}$)/2, ±1/2, –$\sqrt{5}$/10, $\sqrt{25+10√5}$/20)
 * (±$\sqrt{50+10√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, 0, $\sqrt{5}$/10, $\sqrt{50+10√5}$/20)
 * (±$\sqrt{50+10√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±(1+$\sqrt{5}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/20)
 * (±$\sqrt{50+10√5}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2, –$\sqrt{5}$/10, $\sqrt{25+10√5}$/20)
 * (±$\sqrt{50+10√5}$/2, ±1/2, 0, $\sqrt{5+2√5}$/10, $\sqrt{50+10√5}$/20)
 * (±$\sqrt{50+10√5}$/2, ±1/2, ±(1+$\sqrt{5+2√5}$)/4, $\sqrt{5}$/20, $\sqrt{50–10√5}$/20)
 * (±$\sqrt{50+10√5}$/2, ±1/2, ±1/2, –$\sqrt{5+2√5}$/10, $\sqrt{25+10√5}$/20)