Smale's Paradox or “How to turn a sphere inside out?”
Recently translated a wonderful video. You know that a sphere in three-dimensional space can be turned inside out in the class of dives, that is, with possible self-intersections, but without kinks, and the circle is impossible?
The video clearly shows the way of turning the sphere, invented by William Thursten not so long ago. At first, this seems to be something incredibly complex and simply unthinkable, but by the end of the video, everything becomes clear. Look until the end, and you will not regret it :)
The original video: video.google.com/videoplay?docid=-6626464599825291409
PS Thanks for the tip nanodust . Other interesting informative videos are on the site www.SmartVideos.ru .
The video clearly shows the way of turning the sphere, invented by William Thursten not so long ago. At first, this seems to be something incredibly complex and simply unthinkable, but by the end of the video, everything becomes clear. Look until the end, and you will not regret it :)
The original video: video.google.com/videoplay?docid=-6626464599825291409
PS Thanks for the tip nanodust . Other interesting informative videos are on the site www.SmartVideos.ru .
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Source: https://habr.com/ru/post/47510/
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