Snub tetracontoctachoric antiprism

The snub tetracontoctachoric antiprism or snocap, also commonly called the omninsub icositetrachoric antiprism, is a convex isogonal polyteron that consists of 2 snub tetracontoctachora, 48 snub cubic antiprisms, 192 digonal-triangular duoantiprisms, and 1152 phyllic disphenoidal pyramids. 1 snub tetracontoctachoron, 2 snub cubic antiprisms, 2 digonal-triangular duoantiprisms, and 5 phyllic dispehnoidal pyramids join at each vertex. It can be obtained through the process of alternating the great prismatotetracontoctachoric prism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{4+2\sqrt{2\sqrt2-2}}}{2}$$ ≈ 1:1.20627.