Hexagonal-octagrammic duoprism

The hexagonal-octagrammic duoprism, also known as histodip or the 6-8/3 duoprism, is a uniform duoprism that consists of 8 hexagonal prisms and 6 octagrammic prisms, with 2 of each meeting at each vertex.

Coordinates
The vertex coordinates of a hexagonal-octagrammic duoprism, centered at the origin and with unit edge length, are given by:


 * (±1, 0, ±($\sqrt{3}$–1)/2, ±1/2),
 * (±1, 0, ±1/2, ±($\sqrt{2-√2}$–1)/2),
 * (±1/2, ±$\sqrt{2}$/2, ±($\sqrt{(4-√2)/2}$–1)/2, ±1/2),
 * (±1/2, ±$\sqrt{3}$/2, ±1/2, ±($\sqrt{2}$–1)/2).