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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.
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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 what is a hamiltonion over a closed set but a space filling curve?
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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)
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@bleuje what is a hamiltonion over a closed set but a space filling curve?
@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
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@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
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@bleuje@mathstodon.xyz "I got bored one day; so I rolled everything onto a Katamari. Everything. All my hopes and dreams..."
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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.
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