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This question is not really about mathematics, but I'm looking for a picture about a mathematical statement.

The direct sum of two Möbius bundles is a trivial bundle. Do you know of a nice graphic that shows this? Ie a graphic of $S^1\times [-1,1]^2$ so that the two original Möbius strips are marked in this picture?

s.harp
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    You can superpose two Möbius strip, making them orthogonal to each other, this gives a moving union of two lines which looks like a cross. The direct sum will be the all plane, i.e you get the trivial bundle. –  May 18 '17 at 10:58
  • @N.H. I'm specifically looking for a graphical rendering of this, I want to print it out ;-) – s.harp May 18 '17 at 11:46
  • Do you want the picture to be by computer ? I don't know how to do it. If you don't mind a picture by hand, I can try to do my best but my drawing skills are pretty limited :P –  May 18 '17 at 11:53
  • Yeah, I'm sort of looking for a "canonical" picture if that makes sense, sort of like what this image does for the horned sphere. – s.harp May 18 '17 at 17:57
  • Best you can have is probably the picture in this answer : https://math.stackexchange.com/questions/1009126/global-trivialization-of-m-oplus-m?rq=1 –  May 18 '17 at 18:07

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