pascal2 Posted October 13 Report Share Posted October 13 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 Report Share Posted October 14 (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 by Vmedvil5 Quote Link to comment Share on other sites More sharing options...

JeffreysTubes8 Posted October 15 Report Share Posted October 15 You can’t get fractals without residing Fibonacci numbers. However you don’t have to base a fractal off of Fibonacci numbers. They were used to measure the curves of land around continents before Fibonacci was born so. Quote Link to comment Share on other sites More sharing options...

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