Biprismatosnub cubic honeycomb

The biprismatosnub cubic honeycomb is an isogonal honeycomb that consists of triangular antiprisms, tetrahedra, tetragonal disphenoids, rhombic disphenoids, and sphenoids. 1 tetrahedron, 9 tetragonal disphenoids, 4 triangular pyramids, and 12 sphenoids join at each vertex. It can be obtained as the convex hull of two opposite prismatosnub cubic honeycombs with regular symmetry. It cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{21+6\sqrt6}}{3}$$ ≈ 1:1.99156.