Enneagonal duotegmatic alterprism

The enneagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 enneagonal duotegums and 162 isosceles triangular-triangular duotegums. 2 enneagonal duotegums and 27 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a enneagonal duotegum, or as the hull of two opposite enneagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{2+\cot\frac{\pi}{9}\csc\frac{\pi}{9}}{2}}$$ ≈ 1:2.23976.