Pentagonal-heptagonal duoprism

The pentagonal-heptagonal duoprism or pheddip, also known as the 5-7 duoprism, is a uniform duoprism that consists of 5 heptagonal prisms, 7 pentagonal prisms and 35 vertices.

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


 * (±sin(π/7), –sin(π/7)*√[(5+2√5)/20], 1, 0),
 * (±sin(π/7), –sin(π/7)*√[(5+2√5)/20], cos(2π/7), ±sin(2π/7)),
 * (±sin(π/7), –sin(π/7)*√[(5+2√5)/20], cos(4π/7), ±sin(4π/7)),
 * (±sin(π/7), –sin(π/7)*√[(5+2√5)/20], cos(6π/7), ±sin(6π/7)),
 * (±sin(π/7)*(1+√5)/2, sin(π/7)*√[(5–√5)/40], 1, 0),
 * (±sin(π/7)*(1+√5)/2, sin(π/7)*√[(5–√5)/40], cos(2π/7), ±sin(2π/7)),
 * (±sin(π/7)*(1+√5)/2, sin(π/7)*√[(5–√5)/40], cos(4π/7), ±sin(4π/7)),
 * (±sin(π/7)*(1+√5)/2, sin(π/7)*√[(5–√5)/40], cos(6π/7), ±sin(6π/7)),
 * (0, √[(5+√5)/10], 1, 0),
 * (0, √[(5+√5)/10], cos(2π/7), ±sin(2π/7)),
 * (0, √[(5+√5)/10], cos(4π/7), ±sin(4π/7)),
 * (0, √[(5+√5)/10], cos(6π/7), ±sin(6π/7)).