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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Replying to @TilingBot
@Roice: can you compute the hyperbolic distances of the vertices of this from the origin?1 reply 0 retweets 0 likes -
Whoops, wrong Roice :) Yeah, that would be possible. Maybe you’d like an ordered list of the tile center locations? ...as decimal hyperbolic distances?
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on the order of 1-2k points would be awesome, please.
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Replying to @graveolens @TilingBot
Here are the first 15 thousand distinct tile center distances, in the hyperbolic metric. Note that this represents a much larger set of tiles (hundreds of thousands). http://roice3.org/tilings/73_tile_center_distances.txt …
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Replying to @roice713 @TilingBot
awesome!: I'll probably make images tomorrow morning sometime
5:36 PM - 29 Apr 2019
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