Showing off some cool Wild Knot fractals

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.

PLZRVsF5RMnbr6p.png

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

6U0Ui6CLYLUFrg1.jpg

z5m6LgUJZvVQ9RX.gif

These knots are pretty cool to look at.

149 points · 7 comments · view on lemmy.world

7 Comments

webp@mander.xyz · 5 pts · 288d

This belongs atop my Staff of Regeneration

TotallynotJessica@lemmy.blahaj.zone · 4 pts · 288d

virtual particles be like

Smorty@lemmy.blahaj.zone · 2 pts · 283d

cheeeeeeeeeeseeeeeee 🧀🧀🧀🧀🧀🧀🧀

TriangleSpecialist@lemmy.world · 2 pts · 287d

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.

zeca@lemmy.ml · 2 pts · 288d

Love this

traceur201@piefed.social · 1 pts · 287d

I love this, thank you

QuinnyCoded@sh.itjust.works · 1 pts · 288d

your brain is a doohicky machine