Important question! Can you please explain if this eversions do work? th-cam.com/video/S4ddRPvwcZI/w-d-xo.html Obviously there is a hole so it's not a torus to begin with. However, if we imagine covering the hole with a blue cap, then it's a torus, and then the torus indeed does the eversion! (Am i right?) I am trying to interpret that video of a eversion if it works like that.
Well it all depends on your definition: - If you want to evert a real material you cannot have it self intersect so you must puncture it and hope it is flexible enough. This is what Greg's video realizes. - If you want to play Smale's games the rules are : no tear, no crease, but self intersections are allowed. In both cases the challenge is interesting. Last: you cannot transform Greg's eversion into a Smale-like eversion by just adding a cap : indeed this cap will grow enormous at the middle of the movie, and after that it will create an small inner tube attached near the puncture along a circle of self intersection.
![30 ชั่วโมงคนเดียว บนรถไฟชั้น 3 โซเวียต [Around The World Ep. 2]](http://i.ytimg.com/vi/MlE9boAVqDA/mqdefault.jpg)
It's surprising how the torus is easier to everse than the sphere.
this is great! somebody should make a movie about this stuff.
There's some half hour documentary j watched on this with spheres, the mathologer channel mentioned it too I just found out.
@@SquirrelASMR Good to know!
Also the guy was saying a quote BTW XD
Have it star two siblings discussing it in a wholesome manner
yup. no sharp bends, everything clear
WOW! Thats beautiful!
This is not one eversion but an infinite family of them
thanks
Important question! Can you please explain if this eversions do work?
th-cam.com/video/S4ddRPvwcZI/w-d-xo.html
Obviously there is a hole so it's not a torus to begin with. However, if we imagine covering the hole with a blue cap, then it's a torus, and then the torus indeed does the eversion! (Am i right?)
I am trying to interpret that video of a eversion if it works like that.
Well it all depends on your definition:
- If you want to evert a real material you cannot have it self intersect so you must puncture it and hope it is flexible enough. This is what Greg's video realizes.
- If you want to play Smale's games the rules are : no tear, no crease, but self intersections are allowed.
In both cases the challenge is interesting.
Last: you cannot transform Greg's eversion into a Smale-like eversion by just adding a cap : indeed this cap will grow enormous at the middle of the movie, and after that it will create an small inner tube attached near the puncture along a circle of self intersection.
I think if the torus has a cap then there would be a crease at the cap border
@@ArnaudCheritat Thank you, that clarifies my question 100%, sorry for the delay!
@@peter_castle I'm surprised by you responding after four years
thankyou!
I have blue yellow weakness
😂😂😂
Bruh you dont even need to see the color, why did this matter
Too see which side is the inside/outside