My goodness, the tesselation in the last comment is the one that I'm using (though with some extra cells and rather more missing to give a more 'face-to-face' look). Well I've started writing a page of hex variants and I've got a cubic one planned for after that, so perhaps I'd better fast-track my 50-pentagon variant to next after that one.
The page where I mix square and hex cells is called, straightforwardly enough, Square versus Hex.
The page where I mix square and hex cells is called, straightforwardly enough, Square versus Hex.