The #Fibonacci sequence is hiding in the {7,3} #hyperbolic #tiling!
The number of heptagons highlighted at each step is 7 times the nth Fibonacci number. Bill Thurston describes this at http://library.msri.org/books/Book35/files/thurston.pdf …pic.twitter.com/x8GxzTOmat
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Interesting how the multiplicities go much higher than in the Euclidean hex grid. For 14510401 Euclidean hex cells multiplicites go up to 192 and they are often 12 or 24. For 9804929 hyperbolic cells they are often 28, 56, or 112., and go up to 896.
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(Numbers not 100% reliable because of floating point comparison.) Since the distance formulas are more complicated, I expected that it would be rare to find more than 7 or 14.
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