Heptagonal-decagrammic duoprism

The heptagonal-decagrammic duoprism, also known as hestadedip or the 7-10/3 duoprism, is a uniform duoprism that consists of 10 heptagonal prisms and 7 decagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a heptagonal-decagrammic duoprism, centered at the origin and with edge length 2sin(π/7), are given by all sign changes of:


 * (1, 0, ±sin(π/7), ±sin(π/7)$\sqrt{(5-√5)/2}$),
 * (1, 0, ±sin(π/7)(3–$\sqrt{2}$)/2, ±sin(π/7)$\sqrt{1/[4sin^{2}(π/7)]+(3-√5)/2}$),
 * (1, 0, ±sin(π/7)($\sqrt{5(5+2√5)}$–1), 0),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7), ±sin(π/7)$\sqrt{5–2√5}$),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7)(3–$\sqrt{5}$)/2, ±sin(π/7)$\sqrt{(5–√5)/2}$),
 * (cos(2π/7), ±sin(2π/7), ±sin(π/7)($\sqrt{5}$–1), 0),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7), ±sin(π/7)$\sqrt{5–2√5}$),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7)(3–$\sqrt{5}$)/2, ±sin(π/7)$\sqrt{(5–√5)/2}$),
 * (cos(4π/7), ±sin(4π/7), ±sin(π/7)($\sqrt{5}$–1), 0),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7), ±sin(π/7)$\sqrt{5–2√5}$),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7)(3–$\sqrt{5}$)/2, ±sin(π/7)$\sqrt{(5–√5)/2}$),
 * (cos(6π/7), ±sin(6π/7), ±sin(π/7)($\sqrt{5}$–1), 0).