Bitetrahedral honeycomb

The bitetrahedral honeycomb or bithon is an isogonal honeycomb that consists of tetrahedra and triangular antiprisms. 4 tetrahedra and 12 triangular antiprisms join at each vertex. It can be obtained as the union of two tetrahedral-octahedral honeycombs.

The ratio between the longest and shortest edges is 1:$$\frac{2\sqrt6}{3}$$ ≈ 1:1.63299.