You don't need to crop anything if you align the tiles in hyperbolic plane from the beginning. Like in the first example.
Spidron in
The Simple One is done this way, and there's no cropping. Parameters are available in
Polled flamepack v2 if yo want to have a look.
As for the transformation that will "do the job for us", smartshape2 is the one. There are some issues with it though that cannot be solved in apophysis/chaotica approach, so I will release it only in my editor.