WebThe accompanying image sphere.gif shows some steps of my own approach to everting the sphere (turning it inside-out). If you know enough about topology you might want to try it yourself first, without looking at the pictures and explanation. First, try the rough approach of sequence A: push the bottom up, and the top down, through each other. WebSphere Inside out Part - I Outside In first half (10:30) from akhileshpathak, 920K views Sphere Inside out Part - II Outside In second half (10:50) from akhileshpathak, 2M views How To Turn A Sphere Inside Out Outside In Scene 1 (1:40) from Davies Robinson, 40K views Outside In, Excerpts 1 Outside In Scene 1 (1:25) from me, 3K views
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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 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 ... main function crowded
[HD Upscale] Outside In - How to turn a sphere inside out
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 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 … 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 … main function eager