The Next Level - Mandelbrot Fractal Zoom

A huge piece of fractal art featuring lots of bulbous shapes that follow the iteration curves. Another experiment in colour design, I hope it works for you. I've made this a longer one for those of you who enjoy the longer more hypnotising zooms. A little bit of electronic music in this one, if it is not your style, pause now, and start your own music in the background. Please refrain from negative comments about music (I usually get a few when I do something different), there are a huge variety of people on this channel, and I try and mix it up so that there is something for everyone. Although. you're welcome to tell me what your favourite style is, to give me some ideas. Don't forget to press subscribe if you haven't already.
Thanks to those who support me on Patreon, I have disabled mid-roll ads on this channel, so your viewing is uninterrupted (there might be one before it begins). Enjoy!
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Music from Epidemic Sound: www.epidemicso...

[@theologyrules6146]

LOVE THE LONGER VIDEOS. Really enhances the trip!

[@ambermargheim5726]

Dear maths Town I just want you to know how amazing you are, I hope you don't get shut down. You do so much work and give it to us freely. Just hope you know that this girl loves what you do, and while I'm probably going to ask a lot of questions in the reply section, your work is incredible. To all you in the comments, sorry I don't a good joke right now, but I do have a pun I gotta say I've heard of the power of deep thought, but I never thought it could get this deep. Ok that sucks sorry.

[@ambermargheim5726]

If I like my comment, will it be higher and more likely to be seen? Nah, I'll just let it sit.

[@notorio526]

Really great colouring in this video, it helps to bring out the fractal more, not just a style thing.

[@delfinaguero2740]

Precioso y relajante…nuestras sinopsis neuronales 🤔✌️❤️👌👍

[@GuideZer0]

Accurately named, truly next level.

[@danielstembridge7376]

Love the channel luv the visuals. Rainbow zoom was having destabilising effect upon my visible universe witch was my living room this morning, thanking you for the experience.

[@_guavo_]

Thanks Mr Fractal!

[@danielstembridge7376]

Thanks

[@mickqununham5503]

o k a y !

[@chandajhan5288]

Oceans of Lavender. 😎 👚 👖

[@nusphere]

Wow incredible this looks so 3D

[@marcusdenning8468]

This is so my Jam!

[@nacinthewoods8464]

Audio, Video, alles ist wunderbar!

[@hyperpug2898]

I would love to see it in full 3D

[@Serge_12345]

Beautiful! Absolutely amazing!

[@BloobleBonker]

Intertwined alien tails

[@jomarlaluan]

Good colors!

[@juannygar8442]

Love it👍🏻

[@gagestirling]

Love it

[@logos7logos7]

Super!!!

[@holgerdruide4786]

WOW 🔨🔨🔨 THXX 1000🔨❤👁😍❤😘👑

[@aidennegron3097]

Really cool

[@thewizardtk]

This is like what I see when I close my eyes on acid

[@Witscher]

love it

[@PulmaFingoPees]

Can anyone tell me how do I make these myself? there's a site that zooms medelbrot... but its so slow gets stuck after a few zooms. is there a softwear that generates this?

[@benjaminstofle13]

Sideways in time I can see everything but you wouldn't understand

[@zoranznidaric4518]

45 minutes of Mandelbrot zoom ... is this video real ? ... Supercomputer needs three to four month just to calculate 16 to 18 minutes long Mandelbrot zoom video in HD quality.

[@marcusdenning8468]

If you just watched it, then it was probably a real vid. And if you go to the store and it's in stock then they have it.

[@MathsTown]

haha, yes it is real, and far form the deepest on this channel. The data was calculated in less than a day on a 16-core (32 thead) machine (the iteration count was pretty low on this one, other video can take much longer). In this video a frame is calculated every 90 seconds (at double the depth of the previous). The frames are scaled and blended together. The unoptimized Mandelbrot calculation would take a very long time to do this (months I guess) because the size of the decimal numbers is so huge. But clever optimisations allow most pixels to be calculated at 64-bit (and compared to a reference pixel which was calculated a full precision).

[@zoranznidaric4518]

This is best Mandelbroot zoom video for me on youtube : kzbin.info/www/bejne/hnWViZqHhN52ec0 It was probably calculated on super computer for 4 to 6 months. You can not produce excellent video, just calculated with in 24 hours.

[@zfloyd1627]

btw how deep is this zoom?

[@NelsonsWings]

Really good one. The music is ok, although I prefer more melodic slow string trance. As an ex math minor who played with Mandelbrot in the 80s I'm still a bit confused about how you direct the iteration point. My understanding is that the zoom is around a single point in the complex plane, but your vids seem to subtly shift the target to pick interesting features. Any help understanding greatly appreciated.

[@MathsTown]

The whole video is always centred on a single point on the complex plane. (I don't move off the chosen point in any zoom vidoe). I do choose a point to try and find interesting features. So the question remains, how do you find interesting points? The trick is to realise that any interesting feature you pass, will be repeated once you start zooming at the centre of symmetry, however it will have higher rotational symmetry. (For example if you zoom into a spiral, expect to find a double spiral later in the video, then later again, you will find a quad spiral, etc). You can use this fact to pass by shapes and 'stack them'. In fact, for any (power 2) video that ends in a mini-Mandelbrot, the 2nd half of the video is a replay of the 'entire' video, but at twice the speed and twice the symmetry. A video that shows this idea is "Deepness", wait until we zoom into a "really dense spiral" after about 1:30, then you will see a "really dense double spiral" later in the video, following that there will be a "Really dense quad spiral". This ability of the Mandelbrot to "replay" itself is really profound, it is quite a mathematical revelation once you see this (but it does give away some of the magic of my videos). Whenever all this additional symmetry collapses and becomes infinitely symmetrical, you will find a mini-Mandelbrot. I hope that helps a little (without making it more confusing)

[@NelsonsWings]

@@MathsTown That helps a lot! Answers many questions, extra info really good. Thanks!

[@jimi02468]

An interesting question about the Mandelbrot set. How much would you have to zoom into the point -1.5 on the real number line until you zoom into a mini-brot? Even when the magnification is more than 10E1000, still no mini-brots are found.

[@MathsTown]

I haven't check it, but if you can zoom that far without change, it is almost certainly a Misiurewicz point. These points are infinite points, and are self-similar as you zoom in. Other Misiurewicz points include the centre of spirals, branch points, and tips of features. If you move off that point at 1e100, then you would probably find a minibrot at 1e200 (ie double the distance), but if you stay on the point and zoom in then you will find nothing new.

[@Blubb5000]

@@MathsTown I love how you refer 1e200 as 'double the distance' from 1e100. Zooming out from the size of a normal computer monitor to the size of the entire visible Universe is just round about 1e62. So 1e100 (100 - 62 = 38) is literally 10 to the power of 38 times bigger. That's a 10 with 38 zeros.

[@gijane02]

Meemp

[@sukuka]

Beautiful pictures but stupid music!