Dodecagonal duotegmatic alterprism

The dodecagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 dodecagonal duotegums and 288 isosceles triangular-triangular duotegums. 1 dodecagonal duotegum and 36 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a dodecagonal duotegum, or as the hull of two opposite dodecagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{1+\sqrt{26+15\sqrt3}}$$ ≈ 1:2.86527.