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It uses a random Hamiltonian cycle over the vertices of an "icosphere" (the curve touches the hole of each vertex once and loops). Not a fan of the randomness but I can't simply use a space filling curve there. I hope I'm not wasting the idea with weird design/features choices.
@bleuje are there Hamiltonian cycles with more interesting symmetry than others? (I haven't thought about this in detail)
@christianp I searched for that a bit without success