Hexagonal-snub cubic duoantiprism

The hexagonal-snub cubic duoantiprism, or hasnicdap, is a convex isogonal polyteron that consists of 12 snub cubic antiprisms, 6 square-hexagonal duoantiprisms, 8 triangular-hexagonal duoantiprisms, 12 digonal-hexagonal duoantiprisms, and 288 sphenoidal pyramids. 2 snub cubic antiprisms, 1 square-hexagonal duoantiprism, 1 triangular-hexagonal duoantiprism, 1 digonal-hexagonal duoantiprism, and 5 sphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the dodecagonal-great rhombicuboctahedral duoprism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\sqrt{\frac{66+26\sqrt3+\sqrt{1922+1104\sqrt3}}{97}}$$ ≈ 1:1.33530.