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[bleuje@mathstodon.xyz]

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[bleuje@mathstodon.xyz]

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.

[electrocutie@plush.city]

@bleuje what is a hamiltonion over a closed set but a space filling curve?

[christianp@mathstodon.xyz]

@bleuje are there Hamiltonian cycles with more interesting symmetry than others? (I haven't thought about this in detail)

[bleuje@mathstodon.xyz]

@electrocutie I just meant that I've been doing this alternating arcs curve before, but it was using the Gosper curve (hexagonal version of Hilbert curve) that can't be used here to cover the sphere nicely

[bleuje@mathstodon.xyz]

@christianp I searched for that a bit without success

[simonzerafa@infosec.exchange]

@bleuje

‍🥴