Octagonal-enneagonal duoprism

The octagonal-enneagonal duoprism or oedip, also known as the 8-9 duoprism, is a uniform duoprism that consists of 8 enneagonal prisms and 9 octagonal prisms, with two of each joining at each vertex.

Vertex coordinates
The coordinates of an octagonal-enneagonal duoprism, centered at the origin and with edge length 2sin(π/9), are given by:
 * (±sin(π/9)(1+$\sqrt{2+√2}$), ±sin(π/9), 1, 0),
 * (±sin(π/9)(1+$\sqrt{2}$), ±sin(π/9), cos(2π/9), ±sin(2π/9)),
 * (±sin(π/9)(1+$\sqrt{2}$), ±sin(π/9), cos(4π/9), ±sin(4π/9)),
 * (±sin(π/9)(1+$\sqrt{2}$), ±sin(π/9), –1/2, ±$\sqrt{2}$/2),
 * (±sin(π/9)(1+$\sqrt{2}$), ±sin(π/9), cos(8π/9), ±sin(8π/9)),
 * (±sin(π/9), ±sin(π/9)(1+$\sqrt{3}$), 1, 0),
 * (±sin(π/9), ±sin(π/9)(1+$\sqrt{2}$), cos(2π/9), ±sin(2π/9)),
 * (±sin(π/9), ±sin(π/9)(1+$\sqrt{2}$), cos(4π/9), ±sin(4π/9)),
 * (±sin(π/9), ±sin(π/9)(1+$\sqrt{2}$), –1/2, ±$\sqrt{2}$/2),
 * (±sin(π/9), ±sin(π/9)(1+$\sqrt{2}$), cos(8π/9), ±sin(8π/9)).

Representations
An octagonal-enneagonal duoprism has the following Coxeter diagrams:


 * x8o x9o (full symmetry)
 * x4x x9o (octagons as ditetragons0