The infinite Julius tree

[Kalles Fraktaler]

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!

<a href="http://www.youtube.com/v/O4RkfwC5kdM&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/O4RkfwC5kdM&rel=1&fs=1&hd=1</a>

[Dinkydau]

Very familiar shapes! I love it. It's so deep and there are so many details.

[tit_toinou]

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).

[Kalles Fraktaler]

At least I think it is called Julius tree, I saw the name on google.

Anyway thanks to you both.

[Dinkydau]

I just call them trees.