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11 hours ago comment added Kepler's Triangle Thank you for the further comments. That is an elegant argument, and indeed it is my favourite among those I have seen here.
11 hours ago comment added heropup @Kepler'sTriangle While there are some minor gaps, I have amended the above to outline a line of reasoning that might be more persuasive.
11 hours ago history edited heropup CC BY-SA 4.0
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11 hours ago comment added Kepler's Triangle Thank you for your answer, the animation is pretty. I will not mark this as accepted, because I would prefer a more formal proof. I think it is intuitive that the band's are interlinked, indeed one can verify this physically with paper and scissors, but I would like to put this on formal footing.
12 hours ago history answered heropup CC BY-SA 4.0