Biambotetrahedral honeycomb

The biambotetrahedral honeycomb or bath is an isogonal honeycomb that consists of rhombitetratetrahedra, octahedra, triangular antiprisms and 6N rectangular pyramids obtained as the union of two rectified tetrahedral-octahedral honeycombs.

This honeycomb cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1:$$\sqrt2$$ ≈ 1:1.41421) would yield a biambocubic honeycomb instead.