Heptagonal-octagrammic duoprism

The heptagonal-octagrammic duoprism, also known as hestodip or the 7-8/3 duoprism, is a uniform duoprism that consists of 8 heptagonal prisms and 7 octagrammic prisms, with 2 of each meeting at each vertex.

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


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