Comments by "Thomas Morgan" (@mrtthepianoman) on "Mathologer" channel.

  1. Very cool! When you gave your formula for generating each triple from the previous triple, that technique has a clear higher-dimensional analogue. If you generate n-tuples using this rule, I would imagine that would correspond to a golden n-dimensional hypercube, which would have a corresponding golden spiral. I’d be curious to know if these higher dimensional analogies had any interesting properties, applications, or divergences from their lower dimensional counterparts.
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  2. I like the coloring proof better
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  3. Is the 1/7 fraction in the Bizets formula a coincidence, or is that somehow related to the fact that these numbers are generated by the 7-gon? I would argue that the sqrt 5 that appears all over in Bizets formula for the Fibonacci sequence comes from the relation to the regular pentagon, so it seems like this would be the case here as well.
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