Juan Carlos ∞
I tried a similar Klein bottle in WebGL, double-sided textures, but no arrow walking. https://runmdra.org/tom/threejs/src/tom/klein.html …https://twitter.com/Tom_Ruen/status/1209025996369870848 …
Möbius strip hidden inside Klein Bottle
(© @PonceCampuzano)pic.twitter.com/k6HE45Jkts
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That's kind of the whole point of the kleinbottle. However, this animation is a nice and simplified visual.
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Q: can every path on a Klein bottle be 'thickened' into a Mobius strip? Or only half of them? Can you visualize all the different embeddings of Mobius strips into the Klein bottle?
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If the first question could be restricted to simple closed curves the answer is ‘no’ since there are only 5 different (4 non trivial) scc on a Möbius strip. To the second, gluing of arcs along the connected sum of Möbius strips suggests less than half form a Möbius strip.
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Acho que a
@cmpereiro vai gostar dissoThanks. Twitter will use this to make your timeline better. UndoUndo
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Hidden? I thought one of the first things one got taught about a Klein bottle was it was two mobius strips glued together. Nice animation though.
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reall cool
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