You know I'm always honest with you. This is my all time favorite quadrilateral tessilation. All quadrilaterals tessellate. Even the stupid ones. This tessilation, however, is so pretty! It gives you regular hexagons! Think about that: Regular hexagons in a quadrilateral tessilation!
This is also useful for quilters! Again, quilters CAN tessilate any quadrilateras - but they DON'T! That's because quilters know a stupid tessilation when they see one, and this one is not stupid. And few people besides quilters think about tessilations on a daily basis.