The Colour of Infinity - Mandelbrot Fractal Zoom (e1642) (4k 60fps)

Four and a half months of rendering later... Maths Town presents "The Colour of Infinity" our most complex Mandelbrot fractal zoom to date! We pass into the crack of a mini-brot on the real-number line and emerge into a land of bright colour and beautiful shapes. Be sure to leave a comment with your favourite locations. Please hit subscribe and enjoy your journey!
I've gone for a soft house music mixed tape, but if it is not your thing, be sure to play your own music in the background.
Some features:
11:45 - Entering the infinite colour well (the iteration count going crazy here).
17:49 - Note the unusual shapes and spirals
29:08 - Colour wells leading to a gateway
1:14:03 - Entering infinite colour zone (Thumbnail in here!).
1:18:30 - Line of colour wells.
2:04:18 - 8 balls
120,000,000 iterations at a depth of 1e1642 takes a long time to render! The final frame of this video took a whole week to render!
(Note: Some other projects were rendered at the same time).
Grab a T-shirt: mathstownfashion.com
Become a Patreon: / mathstown
Music List:
0:00 Your Eyes - Tomas Skyldeberg
3:20 Teenage Lullaby - Ooyy
6:10 You Got Me - Daxten
9:42 Souls Of Time - Tomas Skyldeberg
12:41 Starfields - Hallman
15:21 Venus - Squiid
18:34 To The Beat - Daniel Gunnarsson
21:44 Alpha - Sum Wave
25:24 Milo's Journey - Sum Wave
29:59 Neural Network - Jack Elphick
33:37 The Centre Of Everything - Civet Cat
37:24 Rocks And Stones - Civet Cat
41:25 Conflicts - AGST
44:46 Winterlake - Tomas Skyldeberg
47:52 Climbing Through Air 2 - Tomas Skyldeberg
50:55 Climbing Through Air 3 - Tomas Skyldeberg
54:43 Stay There - Hallman
57:39 Liberated - Hallman
1:01:00 All Of This - Hallman
1:04:04 Faded - Ooyy
1:07:09 Divergent - Ooyy
1:10:26 Day Glo - Molife
1:14:02 Copacabana - Onda Norte
1:17:20 Locked Out - Martin Landh
1:20:22 Labor Life - Daniel Gunnarsson
1:23:25 Snow - Jones Meadow
1:26:21 Rue Crémieux - Tomas Skyldeberg
(Repeat)
All music from Epidemic Sound: www.epidemicsound.com/referra...
Thank-you to my supporters on Patreon.
/********************************************************************************
Patreon: / mathstown (Support, Downloads & Usage Rights)
Website: www.maths.town
Twitter: / mathstown
********************************************************************************/

[@bradensmith8006]

Nothing blows my mind more than zooming into a Mandelbrot set for a long time and discovering Mandelbrots within a Mandelbrot

[@petterlarsson7257]

Minibrot*

[@TM-wn6fj]

@@petterlarsson7257 I mean, minibrots are never pefect, i guess

[@GB_0110]

@@TM-wn6fj I think only the minibrots on the real axis are perfect. All the other ones are probably warped in some way.

[@svenschops]

😂 Eigentlich grinse ich im Kreis

[@zfloyd1627]

Amazing that you zoomed so deep into such a difficult location (such as the crack of a minibrot). I also find it interesting that you zoomed into the crevice of a minibrot a little further down the needle than the largest minibrot, which everyone else goes for, though I guess you did this to make sure that the julia sets were spaced out far enough apart to make it more visually appealing.

[@bibblethewarcriminal3010]

Infinity is my new favorite color

[@RowynOfficial]

Gavin Nippa same

[@clark395]

Its a number

[@sacrificeguy]

@@clark395 r/woooosh

[@ashm3272]

Sameee

[@ashm3272]

koSTA please unr/whoosh that person, they are just smarter than us 😂

[@zfloyd1627]

As soon as complex numbers were invented this was waiting for us.

[@petterlarsson7257]

I think imaginary and complex numbers came at the same time idk

[@knalleballkalle8365]

Discovered* ftfy

[@alvargd6771]

when you want to get the last pringles in the mega pringles package:

[@YourFriendDevin]

I love to stare at these and then take my eyes off the screen and it looks like everything is moving away from me

[@Snowflake_tv]

Same with me! And I love it!

[@svenschops]

U could get the same effect when you travel by bus or car and look backwards .. but to opposite direction .. I mean after watching a while (long while) leaving everything behind you then everything you look at after will seem to come closer

[@blackopal3138]

Ladies and Gentlemen, your new leader.......... Maths Town 🙏

[@petterlarsson7257]

z=z^2+c

[@jacobrael9872]

Honestly can't tell if watching this on shrooms would be the best or worst idea of all time

[@blackopal3138]

Best ✅ Worst 🔲

[@kravandal]

Depends on watcher's mind.

[@QwertYuiop-fm8sr]

Taking shrooms is both the best And worst idea of all time,It's also many more ideas than the maximum characters allow for.

[@jmpsthrufyre]

Jacob Rael I think it would be very satisfying. And maybe on the verge of " too much" after a point. but bearable.

[@kraeckelium]

If you take shrooms and you close your eyes this will happen automatically (good trippy music helps)

[@mrihjannerejschn6146]

@Maths Town: Thanks for spending your time to bring these beautiful videos to us! 14:01: (and many, many other occasions) these colorful areas remind me of magnetic fields 14:31: quadrupol 15:50: hyperbolic geometry

[@eujebenqo6159]

But can you go to Mandela Nillsson level?

[@marthesegaucibogovic736]

1:14:16 favorite part. Love The Infinite Color

[@hellfish666]

Just like a LSD-Trip...without bad side effects. The first Mandelbrot i saw was in the late 80th/early 90th on my Commodore Amiga 500. It opened a window into strange worlds and nothing of its fascination is gone. Thanks for your great work.

[@jinoh7418]

Ah maybe. It's a lot more mental than visuals at this stage. Reminds me more of dmt,before breakthrough wall.

[@BlowNUpMyPhone]

Unreal! I have seen a lot of fractal zooms, but this one is so gorgeous.

[@zfloyd1627]

Did you know that since this zoom zooms at constant speed, you can calculate the zoom depth of any frame by calculating the zoom speed (by dividing 1642 by the number of seconds the zoom takes, starting at 0:03 and ending at 2:16:25), then multiplying the zoom speed by the number of seconds you are into the video minus three (since the zooming starts three seconds in).

[@denabrown4342]

I feel like I am flying thru rainbow infinity and the music goes with it. Thank you.

[@shineamenmbs3107]

Masterpiece! Infinity for ever and ever... Thank you so much Maths Town, this is so beautiful and incredibly brilliant! tc

[@ZX81v2]

Love it. Your Poor processors... 4 months of solid rendering is just insanity!

[@mainframeomega3154]

That moment you look at a mandlebrot set before you zoom in, and realize you are looking directly into infinity

[@Robertahausen]

what is truly impressive is the fact that there are no ads... thank you by the way, and the music doesn't suck.. other than that... mandelbrot fractal.. it's a program ppl :D

[@Snowflake_tv]

This is my favorite fractal video. I LOVE IT!

[@rowlffffff]

Down the rabbit hole! crazy good.

[@edmondzeldin7036]

Truly amazing. Thank you.

[@themandel2017]

Another deep one. Nice And WOAH those iterations plus the depth

[@VideoweltDanielHagemann]

wonderful

[@3M3R4L0]

Thanks!

[@olatravelandleisure4789]

Wow, this is absolutely fantastic! Thank you for your hard work here.

[@Akihiko.Kayaba]

I love your videos and this is one of the most beautiful you've made. Instant favourite :)

[@Sokolorzel16]

1:14:00 just a personal reminder

[@positivityspiral]

woo buddy

[@mysteriousfigure2683]

10 seconds and the floor is already moving

[@johnnydgiacomo9853]

Indeed...reminds me of an old tune " Legends of a Mind "

[@meonly5036]

The thumbnail.

[@squiggy83]

Great job with the colors and I love the music with it also is just perfect! ✌🙌✌

[@positivityspiral]

Thank you!

[@ridhomblr]

Beautiful and mezmorizing! I love to watch this full 2 hours :D It is beautiful

[@zfloyd1627]

Also, the reason I like deep zooms is because I like seeing the dense concentric circles at the end.

[@Chaosman88]

when the dense concentric circles start, will it ever gonna move out to other shapes, or it is stuck in those circles forever?

[@AllanCWechsler]

@@Chaosman88 Gosh, answering so late. The answer is no. Even in this video you will see periods of circles that end by breaking all the way back to twofold symmetry.

[@salvatorepitea5862]

Ya know I was thinking,,, An I am held in awestruck amazement on the similarities between fractels and the visuals you get from high end LSD

[@kayg8000]

Watching this videos on my VR is the best thing for relaxing time... thanks

[@jdlaag]

aaaaawesome idea.... how to do it? please explain... I have an iPhone 7plus... how can I do it???? please let me know

[@petterlarsson7257]

Download MandelBrowser on google play

[@Jaytron95]

I really love this set and the visuals are stunning excellent video Maths Town

[@emjake12012]

check out my fractal video sorry its low quality:kzbin.info/www/bejne/aHjYiYN8psx_p8k

[@OlbaidFractalium]

Beautiful kaleidoscope!

[@petterlarsson7257]

Wut

[@fractastical9040]

You inspired me to make my own 2D viewer with a palette! These videos are truly great!

[@kittenkorleone2918]

Best. One. Yet.

[@maricelty7744]

Thank You

[@zfloyd1627]

Also, I LOVE your song choices. (The first five songs were my favorite, by the way).

[@wessmall7957]

Great job on this one.

[@QwertYuiop-fm8sr]

thanks for the video, perfect music,🌟🌟🌟🌟🌟!

[@blackopal3138]

Agreed! The soft house is purrrfect... 😽

[@petterlarsson7257]

The color palette too

[@HARMEETSINGH-jf7su]

fantastic video............as usual, man !!! < KEEP IT UP, BROTHER !!!

[@Yakuo]

tysm!!!!!!

[@theautisticdoomgod]

7:18 Now falling apart from the needle.

[@alancombo06]

Wow addictive mathstown

[@michaelmeier1900]

Wonderful man

[@Dreamskater100]

Wow!

[@user-zu4dw5lk6u]

Epic

[@squiggy83]

This is some of the most Amazing Art I've ever seen, it's a great Master Piece to me. Who ever made this knows what there doing and did a great job doing it.

[@hayeopreis]

It is more "discovered" than "made" :-p

[@primorelf8277]

@@hayeopreis no matter who discovered it someone still made it idiot

[@hayeopreis]

@@primorelf8277 I asked chat GPT open AI "Are fractals made or discovered?" Answer: "Fractals are mathematical structures that are typically studied in the field of mathematics. They are discovered through the use of mathematical equations and computer algorithms, but they can also be observed in nature. Some examples of natural fractals include snowflakes, coastlines, and trees. Because they are a product of mathematical equations and algorithms, they are considered to be discovered rather than created."

[@hayeopreis]

@@primorelf8277 Related to this topic is: Is mathematics discovered or invented? Lots of philosophical discussion about that. But based on the videos in your playlist you're not really into these topics.

[@hmw_kamikaze3885]

It’s like there’s a party on my face and everyone’s coming.

[@josebreijo3850]

Mighty creature

[@miners_haven]

Set Colors: Red: inf Green: inf Blue: inf Zoom Color:inf

[@andro.txt0]

isn't zoom a bad app

[@miners_haven]

@@andro.txt0 ive never used zoom so idk

[@gijane02]

How is it infinite? :)

[@miners_haven]

wait why did i put zoom color

[@petterlarsson7257]

@@andro.txt0 brain size: so small you have to zoom in infinitely to see it

[@mandeltownthekillerfrombab5202]

Excellent works even if you’ve took almost 5 months.

[@RowynOfficial]

Mini brot at 6:31

[@deborahlabreck8457]

Have you ever thought of making poster size prints of some of these frames. I would buy it. Really beautiful images. Im mesmerized. 💜💚❤👍

[@jmpsthrufyre]

Deborah La I was thinking the same. Or print onto a t shirt. So many cool snapshots to choose from

[@StarGarnet03]

This

[@yycmaths5320]

Good video!

[@jmpsthrufyre]

Are we reaching the limit? What would happen in a 24 hour zoom into this wonderful equation? It would be funny if the spirals and mandalas eventually condense and start forming recognizable shapes. like humans, or DNA strands.... or aliens.

[@thalyrisist899]

When I come down off salvia I dont come down the fractals just make life again you see it everywhere.

[@zfloyd1627]

No.

[@jmpsthrufyre]

@@zfloyd1627 tacos

[@BonesYouTube]

Straight zoom starts at 1:08:12 Last minute: 2:16:00 Starts at: 0:03 Video starts at: 0:00

[@mahadahmedbaloch]

Kudos to you for watching the entire thing

[@validcore]

The best

[@ceciliatorres4901]

Belíssimo!

[@user-no2hd1wy7g]

If only we could zoom this far into telescopes

[@TheRopeAddict]

This is what going the speed of light must look like

[@obowurx6625]

Real infinity is everywhere

[@vibradiant]

Man... Vger's memory goes on forever.

[@TheGunnCat]

When it becomes 3d, you're won.

[@Dracopol]

I work in a gray cubicle all day, looking at gray data on a gray screen all day. I sometimes run this just to remember what colour is.

[@laurafeher9694]

Calming

[@TheGunnCat]

Now I know how Tron feels.

[@drpacman9996]

WOW just WOW. I played pink Floyd echoes over it for a bit! I like to get their colours of infinity boot leg to play over it

[@fortressone22rr]

Wonderful video and music 🎶👍🌸🙋🏻🧚‍♀️🌹🧚🏻‍♀️🧚🏻‍♀️🦋🍀🧚🏻‍♀️🌸🙋🏻🎶👍many greetings to you 🎶🦋🧚‍♀️🧚🏻‍♀️🍀🌈🌸🍀🌹🙋🏻👍

[@stanervin7581]

'Tis a long one. Am glad that I am not epileptic!

[@matthewwagner47]

Nice tunnels @6:00- @11:47- @19:13-

[@mikeford1273]

I don't know what I'm watching!!. They're fantastic though!

[@noemigenestaavalos1987]

Some fractal boi

[@petterlarsson7257]

They're? Seriously?

[@gijane02]

0:18 ow ow ow ow ahhhhhh

[@OtherMike5000]

Give me some great songs to listen to while enjoying this!! What do you recommend?

[@voyager360360]

You did well attempt at staying in the set.

[@MB-cq1um]

If its infinite technically there will be everything

[@purrplaysLE]

2:14:00 is where it starts to look like there are circles

[@gijane02]

Owime

[@zfloyd1627]

I amazed by your patience. I could never render a fractal zoom for that long, since I share a computer with my brother, who would want to play on it before the zoom is done rendering.

[@meable3763]

All this needs now is the Shepard tone

[@ReynardJumawan-yd1pe]

1:14 10,000,000 colors

[@ReynardJumawan-yd1pe]

4:01 10,000,000,000,000,000,000,000,000 colors

[@glenneric1]

A lot of shapes I haven't seen before are in this one. The Mandelbrot set never ceases to amaze. I'm not a big fan of all the black gradients. Blacks paired with most other colors seems garish to me. Although I know it is good for highlighting shapes. I wonder if the formula could be tweaked to only leave step changes to black? Black does look good with the night sky colors though (star white blue and purple).

[@eskimoprime09]

Is 7:00 when you finally start to diverge from the number line? That's crazy how you could get so much from staying so close this whole time.

[@MathsTown]

The real number line is a fascinating part of the Mandelbrot. There are lots of interesting things going on there.

[@chrisjduplessis]

Awesome stuff. How do you decide on the points that you use for your videos?

[@MathsTown]

Just searching around for interesting features. Inclusing interesting embedded Julia Sets. Sometimes I also try to create some space for later in the video. The 'boring' zoom bits at point near the start are imortant for creating some space for when things replay later in the video. You start to learn what things will be interesting.

[@blackopal3138]

@@MathsTown - No, correction, YOU start to learn. You're the king buddy. You should start the world brotty zoom championship, you would win❗️... ☮️

[@psychb5862]

@@blackopal3138 i think you're on to somthing... :o

[@zfloyd1627]

@@blackopal3138 no, he's just an artist.

[@blackopal3138]

@@zfloyd1627 that's not what it says on the gate at Maths Town.

[@jdlaag]

Hey... which software would you recommend me to explore Mandelbrot's set on my own? I have macbookpro2017... I appreciate your answer... cuz I've been looking for one good software for years and I can't find it.... let me know your opinions.. thanks

[@MathsTown]

This video is made with Kalles Fraktaler, but I don't think you can get it on a Mac. It is the fastest software by far. If you want to create artistic images, Ultra Fractal is nice, but not cheap (And a bit slow).

[@petterlarsson7257]

How abot Kalle's Fraktaler 2?

[@XBGamerX20]

and to imagine, this zoom is not even close to infinity, not even a small bit

[@Snowflake_tv]

1:59 my favorite

[@amandagarguz9090]

ADOLO

[@petterlarsson7257]

@@amandagarguz9090 what

[@petterlarsson7257]

How is it your favorite it's just 2 green lines

[@ReynardJumawan-yd1pe]

1:14:21 infinty colors

[@boyboy2000ful]

never knew infinity had a color

[@RowynOfficial]

1:45:18 that is insane.

[@whereami66666]

so like, there is another mandelbrot when the vid stops. could you zoom into that thing as long as the other one too? or what happens if you zoom into those circles, or the void of the mandelbrot?

[@zfloyd1627]

I can answer your questions. 1. No, he cannot zoom further into the final minibrot. This zoom took 100 million iterations to render, so if he zoomed into the minibrot, it would take trillions, maybe even quadrillions, of iterations to render, which is more than current technology can handle. 2. If you zoomed onto the edges of those circles, and found a feature to zoom into the center of, you would find simmilar concentric circles, until the circles split into two sets of concentric circles. (In other words, it looks like boobs).When this happens depends on how close you were to the minibrot. And if you zoomed into the center of one of those sets of concentric circles, you will only find that the circles split again. If you zoomed relatively close to the minibrot, you may see the circles split twice in one frame, and if you zoomed right next to the minibrot, you would see an embedded julia set. 3. If you zoomed into the void of the minibrot, you would see nothing but black. Period. P.S. the final frame of this zoom took a WEEK to render on a processor that is probably very fast, so if you want to explore the edges of those concentric circles, don't even bother. Especially if you have an average processor.

[@zfloyd1627]

Also, at 6:38, the minibrot makes it look like you used a really low iteration count, even though a zoom such as this one requires a very high iteration count. Did you change the iteration count throughout the video?

[@petterlarsson7257]

Yes

[@hamishallan4723]

At what time does the zoom point first visibly diverge from the real line?

[@hamishallan4723]

Ah, it's just after 7 minutes.

[@vinfinityremakerguy]

I want you to recreate the hardest zoom someone handles before crashing.

[@blaggzear3152]

reminds me of Ant-Mans "Zoom" into the Microcosmos....

[@TouchingClothProd]

Might be a dumb question, but why is it that the last part of every really deep Mandelbrot zoom seems to run out of wild/interesting shapes, and just becomes a descent into a bullseye-like tunnel of ever-thinner circular bands that eventually ends at a minibrot?

[@MathsTown]

No, it is a very interesting question, I think it is one of the most fascinating parts of the Mandelbrot. I deliberately end all (well most) of the videos on a minibort, it is a kind of a silly tradition. All minibrots are actually surrounded by a history of the zoom. From about the 1/2 way point of the video you actually see a replay of the entire 1st half but with 2-way symmetry, but using 1/2 the space. This is followed by a replay at 4-way symmetry using 1/4 of the space. Near the mini-brot the symmetry gets so high, and the spacing so dense that it looks like circles. Eventually this process collapses towards infinite symmetry, and a minibrot is found. You will see this on every Mandelbrot video (of 2nd power) that ends at a minibrot.

[@TouchingClothProd]

Woah. Mind blown (*boom*). Can you pinpoint exactly where on this video it switches to the 2-way symmetry?

[@lagduck2209]

@@TouchingClothProd its probably near 1:07:30 - 1:08:30 where you see similar circular shapes and then zoom point seem to shift offcenter

[@thalyrisist899]

The cycle starts again keeping the infinity going on

[@zfloyd1627]

@@MathsTown watching the symmetry go to infinity is why most mandelbrot zoom videos end in a minibrot. Without that final minibrot, the zoom would feel incomplete. Therefore, it is not a silly tradition.

[@jeremx7094]

7:00 is the end of symmetry.

[@ReynardJumawan-yd1pe]

6:46 10^303 colors