Title: The infinite Julius tree Post by: Kalles Fraktaler on December 23, 2013, 06:17:14 PM Deep Mandelbrot Zoom to 5.99e1081 or 2^3594
The Mandelbrot set contains the infinite Julius tree. The approximated relationship of the number of branches and the zoom depth is in itself amazing: 10 ^ (14 * 1.5 ^ B) where B is the number of branches First branch is therefore found at 1.77e021 Second at 1.52e031 Third at 2.74e047 Fourth at 3.32e071 Fifth at 1.10e107 Sixth at 2.11e160 Seventh at 2.50e240 Eighth at 3.23e360 Ninth at 6.71e540 Tenth at 1.88e811 ...and so on... Unfortunately this animation only goes to ten branches The infinite Julius Tree is at a depth that is raised with a number that is raised infinity! http://www.youtube.com/watch?v=O4RkfwC5kdM Title: Re: The infinite Julius tree Post by: Dinkydau on December 26, 2013, 07:54:30 PM Very familiar shapes! I love it. It's so deep and there are so many details.
Title: Re: The infinite Julius tree Post by: tit_toinou on December 27, 2013, 12:40:16 PM Thank you for that awesome video. I didn't know theses shapes were called "Julius tree" (I called them "Pythagorean tree" even if they were not made of squares).
Title: Re: The infinite Julius tree Post by: Kalles Fraktaler on December 27, 2013, 03:24:43 PM At least I think it is called Julius tree, I saw the name on google.
Anyway thanks to you both. Title: Re: The infinite Julius tree Post by: Dinkydau on December 27, 2013, 04:15:14 PM I just call them trees. |