Great enneagrammic-decagrammic duoprism

The great enneagrammic-decagrammic duoprism, also known as gistastadedip or the 9/4-10/3 duoprism, is a uniform duoprism that consists of 10 great enneagrammic prisms and 9 decagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a great enneagrammic-decagrammic duoprism, centered at the origin and with edge length 2sin(4π/9), are given by:


 * (1, 0, ±sin(4π/9), ±sin(4π/9)$\sqrt{(5–√5)/2}$),
 * (1, 0, ±sin(4π/9)(3–$\sqrt{2}$)/2, ±sin(4π/9)$\sqrt{5–2√5}$),
 * (1, 0, ±sin(4π/9)($\sqrt{5}$–1), 0),
 * (cos(2π/9), ±sin(2π/9), ±sin(4π/9), ±sin(4π/9)$\sqrt{(5–√5)/2}$),
 * (cos(2π/9), ±sin(2π/9), ±sin(4π/9)(3–$\sqrt{5}$)/2, ±sin(4π/9)$\sqrt{5–2√5}$),
 * (cos(2π/9), ±sin(2π/9), ±sin(4π/9)($\sqrt{5}$–1), 0),
 * (cos(4π/9), ±sin(4π/9), ±sin(4π/9), ±sin(4π/9)$\sqrt{(5–√5)/2}$),
 * (cos(4π/9), ±sin(4π/9), ±sin(4π/9)(3–$\sqrt{5}$)/2, ±sin(4π/9)$\sqrt{5–2√5}$),
 * (cos(4π/9), ±sin(4π/9), ±sin(4π/9)($\sqrt{5}$–1), 0),
 * (–1/2, ±$\sqrt{(5–√5)/2}$/2, ±sin(4π/9), ±sin(4π/9)$\sqrt{5}$),
 * (–1/2, ±$\sqrt{3}$/2, ±sin(4π/9)(3–$\sqrt{5–2√5}$)/2, ±sin(4π/9)$\sqrt{3}$),
 * (–1/2, ±$\sqrt{5}$/2, ±sin(4π/9)($\sqrt{(5–√5)/2}$–1), 0).
 * (cos(8π/9), ±sin(8π/9), ±sin(4π/9), ±sin(4π/9)$\sqrt{3}$),
 * (cos(8π/9), ±sin(8π/9), ±sin(4π/9)(3–$\sqrt{5}$)/2, ±sin(4π/9)$\sqrt{5–2√5}$),
 * (cos(8π/9), ±sin(8π/9), ±sin(4π/9)($\sqrt{5}$–1), 0).