Pentagonal-heptagrammic duoprism

The pentagonal-heptagrammic duoprism, also known as pashedip or the 5-7/2 duoprism, is a uniform duoprism that consists of 7 pentagonal prisms and 5 heptagrammic prisms, with 2 of each meeting at each vertex.

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

Vertex coordinates
The coordinates of a pentagonal-heptagrammic duoprism, centered at the origin and with edge length 2sin(2π/7), are given by:
 * (±sin(2π/7), –sin(2π/7)$\sqrt{5}$, 1, 0),
 * (±sin(2π/7), –sin(2π/7)$\sqrt{2}$, cos(2π/7), ±sin(2π/7)),
 * (±sin(2π/7), –sin(2π/7)$\sqrt{(5+2√5)/5}$, cos(4π/7), ±sin(4π/7)),
 * (±sin(2π/7), –sin(2π/7)$\sqrt{(5+2√5)/5}$, cos(6π/7), ±sin(6π/7)),
 * (±(1+$\sqrt{(5+2√5)/5}$)sin(2π/7)/2, sin(2π/7)$\sqrt{(5+2√5)/5}$, 1, 0),
 * (±(1+$\sqrt{5}$)sin(2π/7)/2, sin(2π/7)$\sqrt{(5–√5)/10}$, cos(2π/7), ±sin(2π/7)),
 * (±(1+$\sqrt{5}$)sin(2π/7)/2, sin(2π/7)$\sqrt{(5–√5)/10}$, cos(4π/7), ±sin(4π/7)),
 * (±(1+$\sqrt{5}$)sin(2π/7)/2, sin(2π/7)$\sqrt{(5–√5)/10}$, cos(6π/7), ±sin(6π/7)),
 * (0, 2sin(2π/7)$\sqrt{5}$, 1, 0),
 * (0, 2sin(2π/7)$\sqrt{(5–√5)/10}$, cos(2π/7), ±sin(2π/7)),
 * (0, 2sin(2π/7)$\sqrt{(5+√5)/10}$, cos(4π/7), ±sin(4π/7)),
 * (0, 2sin(2π/7)$\sqrt{(5+√5)/10}$, cos(6π/7), ±sin(6π/7)).