Snub bitetrahedral honeycomb

The snub bitetrahedral honeycomb is an isogonal honeycomb that consists of snub tetrahedra, triangular antiprisms, tetragonal disphenoids, and irregular tetrahedras. 2 pyritohedral icosahedra, 2 triangular antiprisms, 2 tetragonal disphenoids, and 8 sphenoids join at each vertex. It can be obtained through the process of alternating the great birhombitetrahedral honeycomb. It cannot be made uniform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$$\frac{\sqrt{21}}{3}$$ ≈ 1:1.52753.