Pentagonal duotegmatic alterprism

The pentagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 pentagonal duotegums and 50 isosceles triangular-triangular duotegums. 1 pentagonal duotegum and 15 triangular-triangular duotegums join at each vertex. formed as an alterprism of a pentagonal duotegum, or as the hull of two opposite pentagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{150+30\sqrt5}{10}}$$ ≈ 1:1.47337.