I suppose that by repeating this procedure, you could like, a n-holed torus linked with "all of its holes" around the pole, and end with only one of them around it at the end? That is rather surprising to me. Cool!
Yes indeed! In fact, Pierre Thibault made a great video of moving a torus with infinitely many holes off a pole: twitter.com/PierreXThibault/status/1471924543069601792
See the video description for a link! These are custom tools we developed as part of a research project at Carnegie Mellon University. The tools output triangle meshes, which are then rendered in commercial software (Luxology's modo).
With the length of the video I thought you were going to show you could get the handcuffs all the way off and I thought "BUT THAT'S IMPOSSIBLE".
It _is_ impossible to do that - can you come up with an argument for why? (Given that two linked loops cannot be separated)
That surface is repulsive! I love it.
I suppose that by repeating this procedure, you could like, a n-holed torus linked with "all of its holes" around the pole, and end with only one of them around it at the end?
That is rather surprising to me. Cool!
It took me a bit to think this through, but I believe you are correct!
Yes indeed! In fact, Pierre Thibault made a great video of moving a torus with infinitely many holes off a pole: twitter.com/PierreXThibault/status/1471924543069601792
Doesn’t this animation prove that this object has three holes?
That's a good animation, congrats. What do you use for this deformation mathematically?
See the video description for a link! These are custom tools we developed as part of a research project at Carnegie Mellon University. The tools output triangle meshes, which are then rendered in commercial software (Luxology's modo).