Optimisation of Quad Meshes Based on Diagonal Meshes

Hi Everyone,
I’ve been wondering a bit about this project by Studio Other Spaces - specifically how they managed to arrive at what seems to be similar translations shared by Daniel here:
https://discourse.mcneel.com/t/kangaroo-2-tensile-surface-with-holes/80332/13 and of course, here Force polygons of equilibrium structures | Space Symmetry Structure

It feels very related to this more recent thread, so I hope I’m not off topic.
I’m curious how they may have made the translations occur without altering the form?

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