Heptagrammic-decagrammic duoprism

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

The name can also refer to the great heptagrammic-decagrammic duoprism.

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


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