Snub hexacosihecatonicosachoric antiprism

The snub hexacosihecatonicosachoric antiprism or snixhiap is a convex isogonal polyteron that consists of 2 snub hexacosihecatonicosachoron, 120 snub dodecahedral antiprisms, 600 snub tetrahedral antiprisms, 720 digonal-pentagonal duoantiprisms, 1200 digonal-triangular duoantiprisms, and 14400 irregular pentachora. 5 pentachora and 1 of each of the other facet types join at each vertex. It can be obtained through the process of alternating the great disprismatohexacosihecatonicosachoric prism. However, it cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:a, where a is approximately $$1.2661327136794291861309032$$.