Mobius transformations - a visual explanation (video)
Surely many of you have heard about Möbius - this is a German mathematician and astronomer-theorist, best known for his so-called “Mobius list”. Even our designer of All Russia sells expander on its basis .
Moebius strip is the simplest one-sided surface with an edge. You can get from one point of this surface to any other without crossing the edges.
Having passed along its entire “middle line” with the flag raised up, we will return to the starting point - but the flag will now be “raised” in the other direction!
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Apart from the Mobius list, I was also always interested in the Mobius transformations, but the knowledge of mathematics was usually not enough to fully understand their meaning through formulas. Recently, on foreign YouTube, I found an excellent video explaining these transformations in an accessible form, and translated it into Russian. I hope he will also like it and respected habrablubamu!
Other smart videos in Russian can be viewed on my website www.SmartVideos.ru .
Who has something to add or ask on this topic - well in the comments!
Upd. Another less scientific, but very entertaining video about experiments with the Mobius strip was received from user nooze :
Moebius strip is the simplest one-sided surface with an edge. You can get from one point of this surface to any other without crossing the edges.
Having passed along its entire “middle line” with the flag raised up, we will return to the starting point - but the flag will now be “raised” in the other direction!
')
Apart from the Mobius list, I was also always interested in the Mobius transformations, but the knowledge of mathematics was usually not enough to fully understand their meaning through formulas. Recently, on foreign YouTube, I found an excellent video explaining these transformations in an accessible form, and translated it into Russian. I hope he will also like it and respected habrablubamu!
Other smart videos in Russian can be viewed on my website www.SmartVideos.ru .
Who has something to add or ask on this topic - well in the comments!
Upd. Another less scientific, but very entertaining video about experiments with the Mobius strip was received from user nooze :
Source: https://habr.com/ru/post/45859/
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