pascal2 Posted October 13, 2022 Report Share Posted October 13, 2022 Hi folks. Apparently the Mandelbrot set contains Fibonacci numbers featurally- see https://www.google.com/search?q=fibonacci+sequence+mandelbrot+set&sxsrf=ALiCzsb_irvWQNtwqTG9a3p4iNQUe_mEuQ%3A1665703056265&source=hp&ei=kJxIY-SiC4qgptQPruqYoAI&iflsig=AJiK0e8AAAAAY0iqoBFE2gcFb2WtNBdbrLa5X-qlKlMe&oq=f&gs_lcp=Cgdnd3Mtd2l6EAEYADIECCMQJzIECCMQJzIECCMQJzIFCAAQkQIyCwgAEIAEELEDEIMBMgUIABCRAjILCAAQgAQQsQMQgwEyBQgAEIAEMgsIABCABBCxAxCDATIRCC4QgAQQsQMQgwEQxwEQ0QNQAFgAYIIjaABwAHgAgAFYiAFYkgEBMZgBAKABAQ&sclient=gws-wiz#kpvalbx=_l5xIY--DKu-u5NoPlviH6Ao_31 Does anyone know if other 'Generalized' Fibonacci numbers are present featurally in similar fractal figures? Or even more general patterns such as those presented by Metallic Means, Pisot-Vijayarhagavan numbers, etc.? Thanks. Quote Link to comment Share on other sites More sharing options...

Vmedvil5 Posted October 14, 2022 Report Share Posted October 14, 2022 (edited) 50 minutes ago, pascal2 said: Hi folks. Apparently the Mandelbrot set contains Fibonacci numbers featurally- see https://www.google.com/search?q=fibonacci+sequence+mandelbrot+set&sxsrf=ALiCzsb_irvWQNtwqTG9a3p4iNQUe_mEuQ%3A1665703056265&source=hp&ei=kJxIY-SiC4qgptQPruqYoAI&iflsig=AJiK0e8AAAAAY0iqoBFE2gcFb2WtNBdbrLa5X-qlKlMe&oq=f&gs_lcp=Cgdnd3Mtd2l6EAEYADIECCMQJzIECCMQJzIECCMQJzIFCAAQkQIyCwgAEIAEELEDEIMBMgUIABCRAjILCAAQgAQQsQMQgwEyBQgAEIAEMgsIABCABBCxAxCDATIRCC4QgAQQsQMQgwEQxwEQ0QNQAFgAYIIjaABwAHgAgAFYiAFYkgEBMZgBAKABAQ&sclient=gws-wiz#kpvalbx=_l5xIY--DKu-u5NoPlviH6Ao_31 Does anyone know if other 'Generalized' Fibonacci numbers are present featurally in similar fractal figures? Or even more general patterns such as those presented by Metallic Means, Pisot-Vijayarhagavan numbers, etc.? Thanks. Very Interesting Pascal, and I don't know the answer to your question, sorry. Maybe Superpolymath aka JeffreyTubes would know he nerds out on those fractal patterns. Edited October 14, 2022 by Vmedvil5 Quote Link to comment Share on other sites More sharing options...

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