Octagonal duotegmatic alterprism

The octagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 octagonal duotegums and 128 isosceles triangular-triangular duotegums. 2 octagonal duotegums and 24 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a octagonal duotegum, or as the hull of two opposite octagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{1+\sqrt{5+\frac{7}{\sqrt2}}}$$ ≈ 1:2.03822.