Bimesotruncatotetrahedral honeycomb

The bimesotruncatotetrahedral honeycomb or bimteth is an isogonal honeycomb that consists of truncated tetrahedra. tetrahedra and ditriangular trapezoprisms obtained as the union of two bitruncated tetrahedral-octahedral honeycombs with P4 symmetry.

Optimization
Since the bimesotruncatotetrahedral honeycomb has one degrees of variation in its highest symmetry, optimization gives the following edge lengths as:
 * 1
 * (3+2$\sqrt{6}$)/3 ≈ 2.63299