Cult of Passion at Tue, 2 Apr 2024 10:19:42 UTC No. 16109099

>>16109095
Can you compute to construction internally?

Its pretty hard, though I did it another way by making it a 2-D Klein bottle hyper-sphere, so there would be no need to invert it.

Because Im lazy.

Anonymous at Tue, 2 Apr 2024 12:18:58 UTC No. 16109193

>>16109095
I just really hate non-inverted spheres.

Anonymous at Tue, 2 Apr 2024 14:42:10 UTC No. 16109323

>>16109095
I'm gonna invert your balls

Anonymous at Tue, 2 Apr 2024 14:54:50 UTC No. 16109330

>>16109095
i hate 110 tards so much its unreal

Anonymous at Tue, 2 Apr 2024 16:16:20 UTC No. 16109385

>>16109095
Learning about what exactly? Regular homotopy?It's a basic notion in the theory of smooth manifolds which are used extensively in physics. I don't think any standard course on smooth manifolds involves sphere eversion, so why would you expect there to be any practical benefits to learning this theorem?
Although homotopy principle in PDE is a generalization of that sphere eversion thing, so one could argue it's pretty applicable in even greater generality.

Anonymous at Tue, 2 Apr 2024 17:05:49 UTC No. 16109426

mathematics is just the repeating story of some guys dicking around and inventing new stuff for no reason, then trying to make it internally consistent.
Then 20-80 years pass and suddenly someone somewhere realized that this weird abstract crap that nobody understands fits their particular problem perfectly

Anonymous at Tue, 2 Apr 2024 17:32:41 UTC No. 16109451

>>16109095
the retarded sound effects in this really bother me

Anonymous at Tue, 2 Apr 2024 17:47:56 UTC No. 16109468

>>16109426
> Then 20-80 years pass and suddenly someone somewhere realized that this weird abstract crap that nobody understands fits their particular problem perfectly
That only happens in the minority of cases

Anonymous at Tue, 2 Apr 2024 17:56:25 UTC No. 16109479

>>16109468
Really? Evidence?

Anonymous at Wed, 3 Apr 2024 04:49:22 UTC No. 16110148

>>16109479
Spacetime curvature

Anonymous at Wed, 3 Apr 2024 11:25:26 UTC No. 16110507

>>16110148
What's the evidence it usually doesn't happen?

Anonymous at Wed, 3 Apr 2024 12:23:10 UTC No. 16110567

There's no such thing as this shape, it is at most an abstraction that shows the mechanical nature of the Klein.

Cult of Passion at Wed, 3 Apr 2024 12:37:52 UTC No. 16110580

>>16110567
Nah, its closer to Knot Theory or Combinatorics in its foldings, and trying to prove something else, Klein bottle makes the whole flipping inside meaningless.