Can you turn a sphere inside out

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August undefined, 2024

WebFinally, we show the uncorrugation phase. The sphere is now entirely purple. Y: Wow. I think I'm ready to see the whole thing again. X: Here goes! Y: You were right: you can … In differential topology, sphere eversion is the process of turning a sphere inside out in a three-dimensional space (the word eversion means "turning inside out"). Remarkably, it is possible to smoothly and continuously turn a sphere inside out in this way (with possible self-intersections) without cutting or … See more An existence proof for crease-free sphere eversion was first created by Stephen Smale (1957). It is difficult to visualize a particular example of such a turning, although some digital animations have been produced that … See more Smale's original proof was indirect: he identified (regular homotopy) classes of immersions of spheres with a homotopy group of the Stiefel manifold. Since the homotopy group that corresponds to immersions of $${\displaystyle S^{2}}$$ in There are several … See more • Whitney–Graustein theorem See more • A History of Sphere Eversions • "Turning a Sphere Inside Out" • Software for visualizing sphere eversion • Mathematics visualization: topology. The holiverse sphere eversion (Povray animation) See more

Sphere eversion and inversion - Mathematics Stack Exchange

WebOct 15, 2024 · The sphere eversion theorem seems to be a bit more general than just the claim that I can be turned inside out. To me it seems to be saying that it can be turned inside out, regardless of how you embed it. But I assume the OP cares only about the standard embedding – Exit path Oct 15, 2024 at 5:18 1 WebMay 14, 2012 · Orientable surfaces happen to have a particularly simple description: they are all topologically just spheres with some handles sewn on and with some punctures. To turn them inside out, at least one … morristown trailers

How to turn a sphere inside out. What the fuck. : r/videos - Reddit

WebY: You were right: you can turn a sphere inside out without poking holes or creasing it, even though you can't do it for a circle. This is great---somebody should make a movie about this stuff! Up: The Script of Outside In Prev: How to turn any curve into any other of the same The Geometry Center Home Page WebFeb 17, 2009 · Turn a sphere inside out. This will blow your mind. Physicists show you how this impossible trick is possible. Spheres of abstract elastic material is necessary. … WebApr 4, 2024 · Abstract: It’s really how to turn a sphere inside-out through immersions: the surface is allowed to intersect itself, but cannot form sharp folds. More precisely we want to construct a deformation between the … morristown train line schedule

geometry - sphere eversion - Mathematics Stack Exchange

‎Outside In (1995) directed by Silvio Levy, Delle Maxwell et al ...

WebFeb 17, 2009 · Turn a sphere inside out. This will blow your mind. Physicists show you how this impossible trick is possible. Spheres of abstract elastic material is necessary. This is theoretical topology and helpful for understanding physics, quantum or otherwise. Want to master Microsoft Excel and take your work-from-home job prospects to the next level? minecraft new wither storm addonWebThe computer animation Outside In explains the amazing discovery, made by Steve Smale in 1957, that a sphere can be turned inside out by means of smooth motions and self … minecraft new versus pro

"WebNov 3, 2024 · I think that you can turn out a sphere inside out just like if there was a hole on it even if you do not make a hole because the sphere can go through itself. Is it correct? Are there some errors? If yes, could you please tell me the error? Or, is there a website that lets me try the sphere eversion? EDIT: I have watched the video already. geometry " - Can you turn a sphere inside out

Can you turn a sphere inside out

TURNING A SPHERE INSIDE-OUT! – Society Of …

WebOct 15, 2024 · $\begingroup$ The sphere eversion theorem seems to be a bit more general than just the claim that I can be turned inside out. To me it seems to be saying that it … WebTutorial: 1. Start by making a sphere with the abstract material. 2. Add wavieness to the sphere. 3. Push the 2 caps past each other and stop before the crease. 4. Twist the caps in opposite directions. 5. Push the equator across the sphere. 6. Remove the waviness from the sphere. The whole sphere is made from 16 rotated copies of this piece.

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WebThe problem of sphere eversions has interested mathematicians simply because it is possible. It's impossible to turn a circle inside out by the same rules, and nobody thought it could be possible to turn a sphere inside out. But then Steve Smale proved a very abstract theorem which implied that an eversion was possible. Still nobody knew how to ... WebThe surface has only one side, like a Klein bottle, but is topologically distinct in how the surface is self-connected. This can be turned into a sphere eversion by prying the surface apart, a bit like prying apart a Möbius strip made of toilet paper. kuroyaki • 11 yr. ago

WebThursday, April 1st, 2010 Posted in: Science Published By: Cris Popenoe. 01:37 Physicists illustrate how this impossible trick is possible. This will blow your mind. … WebSince you share my enthusiasm for the subject, here's a video depicting a construction of Boy's Surface, showcased at the end of the previous video. The surface has only one …

Web2,201 3 24 45. (1) Yes, there are proven sequences of movements that turn spheres inside out. (2) (i) Eversion allows a surface to self-intersect, unlike surfaces in the physical world. (ii) Bodies aren't really spheres, as they have many holes. You'd need to decide if your model of a body is orientable or not (so that 'inside' and 'outside ... WebFeb 14, 2013 · No. You're just inside-outside-in. oh dear lord. In differential topology, Smale's paradox states that it is possible to turn a sphere inside out in a three-dimensional space with possible …

WebMar 7, 2024 · - Hey, I read somewhere that mathematicians can turn a sphere inside out - Yes, that's true - What's the big deal? Just poke a hole in it and pull it through - Sure, but the point is to do it without making a hole - But then it seems impossible - You're right, you cannot do it with an ordinary sphere like a basketball

WebSep 4, 2013 · And, as if that wasn’t enough mathy awesomeness, check out this video about turning a sphere inside out. A bit of personal history, I actually used this video (though it was only on VHS back then, checked out from the library) as part of the research for my independent research project during my senior year of college. morristown township libraryWebWait a minute. Am I supposed to believe you can turn a sphere inside out, but not a circle? Yes. There is something fundamental about curves that would have to change if you were to turn a circle inside out, and that something cannot change under our allowed motions. And what's that? I'll explain. Imagine a monorail atop the wall. minecraft new wood typeWebAnswer (1 of 2): Your looking for the sphere eversion or Smale's paradox. Its possible to do if you allow some topological operations: you can pass one surface through another, but you can't cut it and you can't make … morristown trainWeb1995 Directed by Silvio Levy, Delle Maxwell … Synopsis The computer animation Outside In explains the amazing discovery, made by Steve Smale in 1957, that a sphere can be turned inside out by means of smooth motions and self-intersections. minecraft new yearWebIs it possible to turn the sphere “inside out”, allowing self-intersections but not allowing any sharp kinks, creases, or tearing of the surface? Surprisingly, in 1957, Steve Smale proved that this is in fact possible! Such an operation is called a sphere eversion. minecraft new vexWebMar 5, 2024 · 149 views, 2 likes, 4 loves, 6 comments, 4 shares, Facebook Watch Videos from CGM - HIS GLORY CENTER: Sunday 12th March 2024 with Rev. Shadrach Igbanibo minecraft new videos in hindiWebOct 12, 2024 · This Video has been increased to 1440p from the 480p DVD release using AI upscaling, making this the highest resolution currently available. Subtitles genero... minecraft new versus pro videos