Triangular-heptagrammic duoprism

The triangular-heptagrammic duoprism, also known as the 3-7/2 duoprism, is a uniform duoprism that consists of 7 triangular prisms and 3 heptagrammic prisms. with two of each at each vertex.

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


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