Mandelbrot World Record Attempt - Part 6 (e10000 to e12000)

The deepest Mandelbrot zoom ever! This zoom is over 24-hours long, uploaded to YouTube in 11 parts. It will finish on a mini-Mandelbrot. As such, I am claiming a world record for the deepest Mandelbrot video! I have kept to the traditional colouring style for this one. Consider playing your own music while you let this one roll. Sit back, relax, and soak it in.

This will be the only time I ever attempt a video this deep. Rendering around the final mini-Mandelbrot is just too computationally expensive to try again; I have other things I wish to achieve now. If you wish to claim the deepest Mandelbrot title, and would like me to acknowledge it, here are my conditions: It must finish on a mini-Mandelbrot, it must be rendered in at least 4k, it should double in depth no faster than once per second, and you should publish the coordinates.

Finally, a huge thank-you to my supporters on Patreon, and my loyal subscribers who have made this channel possible! If it wasn’t for you, this content would not exist.

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#Mandelbrot #fractal #mathstown #fractals

[switchedonbachunpluggedmpd]

To boldly go where no mapper has gone before. 😎 Well done.

[npsxlcc]

Gooood performance !!!
Congratulations !!!!

[jimmerhardy]

What a long, long trip we're on, but I like it.

[benjaminandersen]

when you zoom ALL the way through the Mandelbrot, you meet god

[seanemery]

I don't know how you found this rabbit hole, but it looks like the black hole of the mandelbrot. OMG! Just fantastic!

[davidkaye]

I wonder, has anyone ever done an analysis of the symmetries of scale for these ultra-deep Mandelbrot zooms?

Are similar features separated by a constant scale factor, like Feigenbaum's Constant determines where the bifurcations are in the Logistic Map? It wouldn't surprise me if that scale factor WAS in fact Feigenbaum's Constant!

In watching these videos, it sure seems to me that the geometry follows a cyclical pattern as you zoom in deeper and deeper.

At the times listed below, a distinctive pattern appears, all very similar, differing in the number of lobes in the pattern and number of turns of the spiral bands. Around the outside are seahorse-like shapes that turn clockwise, inside those are the distinctive smooth shaded spiral bands, which are terminated by more seahorse lobes on the inside. I scanned video #4 and found DOZENS of these similar shapes. In this video, I scanned the start and the end of the zoom. Please see these times and tell me if you think they are similar.

0:00:16, 0:01:10, 0:01:50, 0:02:46, 0:06:19, 1:59:00, 2:00:19, 2:02:12

There are MANY other geometries that repeat as the zoom goes deeper. I found it useful to "nickname" geometries, to make them easier to remember, like "Sparse zigzag spokes with Julia sets" 0:05:03, and "Eight straight seahorse spokes" 0:03:40. I think I'll set up a spreadsheet with my nicknames, and record at what times they appear, and what comes next.

Thoughts anyone?

[hamishallan]

Excellent stuff! Looking at the lengths of your videos I was able to predict that the final "deviation from symmetry" would occur at about 1hr 1min into this video -- and it did!

(There's an interesting tweening artefact at this exact deviation -- is this just a coincidence?)

Do you have any long-form zooms in which the halfway point deviation is to veer away from the centre of a long-earned minibrot?

[eyedl]

it would be nice to have a tiny label with current zoom value somewhere in the corner

[BountyLPBontii]

Can anyone tell me why everything seems to just revolve around the zoom point?

I wonder why it does never go into some sidearm anymore, instead its always the center, while in the beginning of zoom videos you keep going to places you might not have expected and after a few hours it will always and everytime just zoom into the center of a structure completely revolving around the zoom point.

I wonder why that is? Is there some part of the algorithm that backpropagates and then somehow influences the mandelbrot generation?

Im just clueless why it revolves just around the center point and never goes into sidearms anymore. Thanks if anyone knows this

[tomatinko]

Too deep man, you might fall out the other end

[GaryBeilby]

I've been playing with Mandelbrot rendering since the 80s - I haven't written my own code since the 80s tho lol. But I know every mandelzoom runs out of capacity for significant figures. How are you dealing with the insane numbers of significant figures the maths must be crunching?

[YannLeBihanFractals]

A huge glitch at 1:00:50, probably related to the use of kf2.15

[jpe]

Weird glitch at 1:00:20 … perhaps some error in the compression algorithm?

[RajelAran]

Why are parts 4 and 5 hidden and unavailable?