Heptagrammic-decagonal duoprism

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

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

Coordinates
The vertex coordinates of a heptagrammic-decagonal 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)$\sqrt{(3+√5)/2+1/[4sin^{2}(2π/7)]}$),
 * (1, 0, ±sin(2π/7)(1+$\sqrt{5+2√5}$), 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)(1+$\sqrt{5}$), 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)(1+$\sqrt{5}$), 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)(1+$\sqrt{5}$), 0).