Octagonal-decagonal duoprismatic prism

The octagonal-decagonal duoprismatic prism or oddip, also known as the octagonal-decagonal prismatic duoprism, is a convex uniform duoprism that consists of 2 octagonal-decagonal duoprisms, 8 square-decagonal duoprisms and 10 square-octagonal duoprisms.

This polyteron can be alternated into a square-pentagonal duoantiprismatic antiprism, although it cannot be made uniform. The octagons can also be alternated into long rectangles to create a bialternatosnub pentagonal-square duoprismatic prism, which is also nonuniform.

Vertex coordinates
The vertices of an octagonal-decagonal duoprismatic prism of edge length 1 are given by:
 * (±1/2, ±(1+$\sqrt{5+2√2+csc^{2}π/9}$)/2, 0, ±(1+$\sqrt{2}$)/2, ±1/2)
 * (±1/2, ±(1+$\sqrt{5}$)/2, ±$\sqrt{2}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2)
 * (±1/2, ±(1+$\sqrt{5}$)/2, ±$\sqrt{2}$/2, ±1/2, ±1/2)
 * (±(1+$\sqrt{5+2√5}$)/2, ±1/2, 0, ±(1+$\sqrt{2}$)/2, ±1/2)
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±$\sqrt{2}$/4, ±(3+$\sqrt{10+2√5}$)/4, ±1/2)
 * (±(1+$\sqrt{5}$)/2, ±1/2, ±$\sqrt{2}$/2, ±1/2, ±1/2)