Decagonal duotegmatic alterprism

The decagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 decagonal duotegums and 200 isosceles triangular-triangular duotegums. 2 decagonal duotegums and 30 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a decagonal duotegum, or as the hull of two opposite decagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{4+2\sqrt{50+22\sqrt5}}}{2}$$ ≈ 1:2.44536.