196@lemmy.blahaj.zoneEnglish · 3 days ago

Showing off some cool Wild Knot fractals

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Showing off some cool Wild Knot fractals

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196@lemmy.blahaj.zoneEnglish · 3 days ago

A while ago I was having fun theorycrafting seeing if there were potential connections relating knot geometry/ formation to wavefunction field excitation as well as better understanding computational complexity classes of knot formation.

During my research I came across an interesting class of fractal ’ wild knots ’ that recursively cross into eachother infinitely. The wild knot shown in post displays cantor set class bifurcation.

Heres a 3d animation of a knot known as the ’ Alexander Horned Sphere ’

These knots are pretty cool to look at.

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2 days ago
You just reminded me there was a sculpture of an Alexander horned sphere in the maths lab where I did my studies. It was pretty shitty and obviously there were only a few branches. It confused the hell out of us as undergrads.

Thanks for the trip down memory lane.

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