A Complicated Journey - Mandelbrot Fractal Zoom

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An ultra-deep dive into the Mandelbrot set using the log steps colouring method. This is the third video in the "Journey" trilogy, of which all video use the same location on the Complex plane, but are coloured differently. What are your thoughts on this one? Please hit subscribe!
Thank-you to my supporters on Patreon.
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Music from Epidemic Sound: www.epidemicsound.com/referra...
Versus - Kasper Schill
Dreamscapes - Kasper Schill
Between Different Skies - Kasper Schill
Walk Towards Silence - Kasper Schill
Vines - Christophe Gorman
Tingling - Christophe Gorman
Stranded By You - Valter Nowak
Spirit Garden - Gavin Luke
So Others May Live - Johannes Bornlof
Rain - Valter Nowak
Progress - Ever So Blue
Oval Window - Christophe Gorman
Luminescent - Christophe Gorman
La Fille Sans Larmes - Lo Mimieux
Kiku Rain - Cora Zea
Houselights - Christophe Gorman
Elm - Martin Landh
Drifting Among Strangers - Gavin Luke

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Опубликовано:

29 июл 2024

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Комментарии : 369

@brycequinlan6213 4 года назад

For some reason it just blows my mind that after 2 hours of just wandering through seemingly nowhere there is just a whole new mandelbrot set waiting to be explored

@liam.28 4 года назад

fryed bryce all Mandelbrot zooms end like that

@d.e.p.-j.7106 4 года назад

Indeed, every point in the Mandelbrot set is like that. It is made out of them.

@Liravin 4 года назад

I should have expected spoilers in the comment section...

@Liravin 4 года назад

but yeah it's a tradition at this point to end every zoom with a mandelbrot set otherwise it's a cliffhanger

@RoYaL3796 4 года назад

Infinity🤯

@MykkaM 4 года назад

>2 hour-long fractal zoom IM GOING IN!

@midbell 4 года назад

imagine being lost here with one other person and you have to spend eternity looking for each other

@lightspiritblix1423 4 года назад

That’d be both beautiful and terrifyingly lonely.

@mueezadam8438 4 года назад

Mid Bell abstract, I like it.

@carpycap 4 года назад

Mid Bell Good lord that’s pure nightmare fuel for me. Now I have to get that out of my head somehow.

@mauigio 4 года назад

Just turn around... pfff Eternity lol Just kidding 😋 But what you say is definitely poeticly tragic

@5yri5 4 года назад

Lmao you're living it already.

@007bistromath 4 года назад

This one goes really well with Mozart's Requiem and a bottle of cough syrup

@kingaha3657 4 года назад

Nice

@Schoohness 4 года назад

Thanks for the tip

@valoriel4464 4 года назад

Thx, your cmt makes me smile.

@imagineaworld 4 года назад

Laugh my fucking ass off bro

@atlas4428 4 года назад

Robitussin is the one you need

@valoriel4464 4 года назад

Wow! Feels like I'm falling into the abyss but not afraid. Wonderful upload my friend.

@LunchRide 4 года назад

This is the most beautiful rendering I've ever seen. Your color choices are unbelievably moving.

@somemango9587 4 года назад

The most beautiful nightmare would be falling down a Mandelbrot set forever.

@Satyred 4 года назад

Not even da Vinci could fathom the colorful infinity that is existence

@hahdhsjsjrkfn 4 года назад

Take DMT...

@Satyred 4 года назад

@@hahdhsjsjrkfn clever girl

@tbd5082 4 года назад

I would be ok with it. It’s already here.

@honeyant3119 4 года назад

rip kim's daddy

@EbenVisher 4 года назад

Bravo! Bravo! The most beautiful Mandelbrot exploration I've *ever* seen. Thanks for your hundreds of hours of time to give us this gift.

@Liravin 4 года назад

I swear I have persian relatives and their carpet looks exactly like this

@utetrahemicon 4 года назад

That's just a wine spill.

@psykoj 3 года назад

It’s all related! Persians sufi dervishes mandalas

@GabriTell Год назад

_"You know what's funny about all this?..._ _After all the effort and dedication you have put into trying to understand me, you've only known an infinitely small part of me"_

@jenv9862 4 года назад

My 2 year old loves to fall asleep watching your videos ! It’s mesmerizing.

@deinemutter4403 4 года назад

Yo this is where the flying dutchman sent squidward

@FordSeniorMaster 4 года назад

This is utterly beautiful, my friend! I am currently downloading for my Mom to see........she LOVES your work! Thank YOU so much man! Patrick

@guycomments 4 года назад

One of the best I have ever seen

@tonysansom 4 года назад

Did anyone else find this beautiful yet disturbing at the same time?

@Enigma758 4 года назад

Why disturbing?

@tonysansom 4 года назад

@@Enigma758 Because the more it zooms down, the more I get a sense of how vast it is and how impossible it would be to see all It's beauty.

@Enigma758 4 года назад

I get it now. Thank you.

@tonysansom 4 года назад

@@Enigma758 You're very welcome.

@skya6863 4 года назад

@@tonysansom i like the mandelbrot set less and less the more it zooms in, everything becomes less unique and there are more repetitions everywhere

@mddell58 4 года назад

Gorgeous. Perfect music, too. Thank you. 🌹

@bautistaprioletta8694 4 года назад

The best thing that you can find at the end of the trip... Another micro-sized Mandelbrot set. Just beautiful

@Treviisolion 4 года назад

It always amazes me that we happened upon something like this. The normal mandelbrot set is just black and white, a number is either part of it, or it’s not. Yet somehow we managed to find out that by applying a few unique rules for coloring the numbers outside the set, and with modern computers to render it for us, a beautiful infinite landscape with breathtaking sceneries awaited us.

@007bistromath 4 года назад

There's all kinds of ways to get a Cartesian plane to do that. The Mandelbrot is best because it's the crinkliest.

@acommon 4 года назад

You can do this with all numbers, it's just not pretty with a regular graph of something like y = x^2. Numbers go on forever by definition.

@lightspiritblix1423 4 года назад

And to be explored with backing poignant piano music.

@Sewiefortune 4 года назад

Makes me think about another similar situation with god and the universe.

@gonelucid 9 месяцев назад

@@Sewiefortuneunderrated comment

@destroyer2496 4 года назад

Heh. This render's color pallet make it feels like the Mandelbrot set is just a incredibly complex series of creases and fold on a piece of paper, with increasingly smaller fold on top of each other. Absolutely beautiful.

@gangleweed 4 года назад

I have one wall of my bedroom assigned to a 15 foot wide screen and I lie in bed and play this video with my projector......I always fall asleep halfway through it...…..the music is phenomenal.

@truBador2 4 года назад

Very nicely done. At high speed your choices of trajectory are more apparent. This is a complete test of one's esthetic capacity, something I continuously marvel at with gratitude. One SHOULD of course put one's own music to this to fully enjoy it. This provides an interactive experience of inexhaustible creativity which combines the two clearest examples of transcendent reality, in the technical sense, we possess. Music and Mandelbrot. Anyone NOT taking advantage of this is missing out. Needless to say, it's a fabulous way to road test ons's own music...

@stancartmankenny 4 года назад

amazing. Love the lighting on this.

@RashaMattBlais 4 года назад

How much floating point precision was required to dive that deeply?

@lauriethefish2470 4 года назад

Yes

@user-dd7jy6jj8u 4 года назад

These zooms can be actuaaly made with double hardware precision and calculating only 1 arbitrary software precision point with max iteration count (inerations nedeed for deepest zoom pic)

@electrickinyourface2 4 года назад

Doubles cant deal with numbers this tiny, these zooms go into an extraordinarily small domain/range, some tricky bit manipulation or user defined types are neccessary

@Mark73 4 года назад

All of it

@mileswaugh 4 года назад

I guess it’s possible to program a method for evaluating math at precision only limited by the RAM, by having arrays of integers; you can keep track of the decimal place, and loop the numbers over, etc.

@cannibalaaron1222 4 года назад

You can tell the quality of a video by the quality of the comments and there many insightful humorous and thoughtful ones here great work

@karltanner3953 3 года назад

If there are things like this at the bottom of math it really makes you question a lot of things. Math describes our universe so in a way fractals like these are a very primordial part of the everything of cosmos. It's like they're written into the very fabric of reality. And there's still a lot more math and universe for us to be explored, makes you wonder what other mind-blowing things we will find.

@michaelvansise4887 4 года назад

I think this might be my favorite Mandelbrot Zoom on RU-vid. I love the colors and the 3d shadow effect.

@ginsubrown 3 года назад

The beauty just keeps coming. Stop taking my breath away-I won’t be able to breathe.

@davidhoran7116 4 года назад

Saving this for the next acid trip

@lewliteki 4 года назад

Cam Acho he could also just exit out of the video

@Druid_22b 4 года назад

@@lewliteki not trying to call you out, but you seem to not understand the concept of "acid trip"

@lewliteki 4 года назад

Dustin Brock I’ve taken acid I think I understand lmao

@bradley6348 4 года назад

I'm satisfied just looking at my wall. Not sure I could spend very long looking at this while tripping.

@oderflacarls4503 3 года назад

@Ok Karen better just hope there are no mandelbrot birds if breadcrumbs is the choice

@BowandSvent 4 года назад

If you're looking for some heavier tunes, "Lateralus" by Tool is a great song/album for this.

@corgipawproductions1589 4 года назад

I will probity watch this on my next airplane flight

@heathrobinson 4 года назад

Seems almost impossibly deep. V impressive. Could we have some numbers? Co-ords, final width of frame, fp precision, etc.

@oscarbrizmusica 2 года назад

I'm deeply grateful you shared this. Infinite beyond words

@BloobleBonker 4 года назад

Incredible. Great 3D effects.

@myearshurtnoone1367 2 года назад

after what felt like an hour has only been 5 min, fun trip thank you for sharing

@user-vn7ce5ig1z 4 года назад

Don't you mean a "A _Complex_ Journey"? 😀 There be dragons at 1:40:00.

@robotempire 4 года назад

We’re smoking different weed

@nathandeere683 4 года назад

Hear, hear. That was a stupendous pun. i approve.

@somerandomdragon558 4 года назад

Meep. :o

@grahamkey8496 4 года назад

There be penguins at 2:40:00

@pikminfan6778 4 года назад

30:44 There be swans.

@charleswilson2134 4 года назад

By far the most satisfying Fractal Zoom I've seen. The embossed textured look is EXTREMELY nice.

@charleswilson2134 4 года назад

A month later and it's STILL the most beautiful of all I've seen. I get to 1:29:00 I have to stop. "How did that get there?...BEAUTY!" I again want to praise the Embossed Look.

@GoodMusicManiac999 4 года назад

Designs resembled either diamonds and those signature patterns by Gianni Versace. Classical beauty

@joelerickira 4 года назад

Absolutely Stunning.

@jimsadventures7118 4 года назад

So much detail, my mind will explode!

@v-sig2389 4 года назад

Beautiful

@sonshine5038 4 года назад

Excellent and best enjoyed with Blue Dream!! TYSVM!🌞

@brandonparker7551 4 года назад

Hauntingly beautiful thank you

@gonzalochristobal 4 года назад

beautiful

@iahelcathartesaura3887 4 года назад

I do not have words to tell you how much Iove this video. The stuff science, logic, design, & soulful, happy brain dreams are made of 💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖💖 Thank you, a thousand times to the infinity power for this.

@rudybigboote3883 4 года назад

The most beautiful one I have ever seen.

@mueezadam8438 4 года назад

Nice choice of colour 👍

@alexaplays1124 2 года назад

I'm getting addicted to this

@screamingmimi90 4 года назад

It’s gorgeous!❤️

@Electrozonelectronic 4 года назад

Wow. Best zoom ever. Thankyou.

@virginalghost1847 4 года назад

Ooo I like the colors on this one!

@orbitty1069 3 года назад

Infinitely beautiful ~ Thank you

@joaniemama111 4 года назад

Amazingly relaxing and so so beautiful ❤️ thank you 😊

@bukster1 4 года назад

So this is what you see when you die. Just falling forever deeper into the coma of death but never quite reaching the bottom.

@realcygnus 4 года назад

Amazing

@user-yi5ev9oh7d 4 года назад

the best video work ever! great work.

@Beautifulmotive Год назад

Thank you! It's beautiful and magical!👍

@drlo728 4 года назад

unending unendingnesesssssesssss… love it. it´s pure live in any sense!

@dantemartinez8860 4 года назад

Beautiful! A real cosmos

$@fractaltree4599$

@fractaltree4599 2 года назад

I love this!

@Liravin 4 года назад

when the player says "auto (480p)": we don't do that here.

@boxepunch4955 Год назад

Great conception

@haccabiart 2 года назад

very nice

@gentinmedia 2 года назад

So beautiful, I even saw my favorite chocolate banana creme cake!

@PCcardboard1354 Год назад

This is SO BEUTIFULL!!!

@texasiguana 3 года назад

going down, down, down into the rabbit hole, Neo!

@lightspiritblix1423 4 года назад

According to how fractals work, and if I’m not bamboozling myself, you could go to any of those mandelbrots that look like the top-level one, and follow the same path to the same area. The only limitation is the computer. And yet, every time I dive into the Mandelbrot set, I see something wildly different. And yet, every time I converge on a top-level Mandelbrot, it’s surrounded by colored rings growing infinitely thinner. In this dive specifically, it seems to start a bit before the 2:00 mark, and the rings are very clear at 2:13.

@jackiechan3509 Год назад

The beauty of Quantum physics

@mohammadbinmahbub9160 4 года назад

how do you know you will never hit a dark spot? trial n error?

@user-dd7jy6jj8u 4 года назад

U can calculate these mini-mandelbrot coords and theirs "power" (can say size). And you can’t get into the black region through another black region, because there’s nothing further

@VoxelMusic 4 года назад

Its like pressing "My location" in google maps.

@logos7logos7 4 года назад

Awesome!

@Dadinquisitor 4 года назад

... это реально завораживает и увлекает, музыка подобрана идеально для видеоряда, математика действительно - мать всех наук 😉👍🏻

@ellopropello 4 года назад

that was awesome

@sharlenemusiclover3486 4 года назад

Very cool, thanks❤️🎬🎤🍿

@hanihani9029 2 года назад

Thank you good sir

@kcsi1 4 года назад

This shading looks outstanding decent.

@dreingames9137 4 года назад

Yes very outstanding decent

@BobBob-cy9cu 4 года назад

I think if you tripped on this you would probably at first be scared about being lost but then after a while you’d come to accept that you were lost in the first place and just try appreciate the world’s infinite beauty in the short time we are here

@OppositeDay5 4 года назад

ThanksskssnksskssnksskssnkssksshankskssksskssanksskssnHanksskssnksskssAnksskssnkssksshankskssNksskssanKsskssnkssksS for doing this

@lightspiritblix1423 4 года назад

If you watch it at high speed, it feels like you’re falling

@jacobbodin5041 4 года назад

Wow way more captivating at 2x

@lilmarionscorner 4 года назад

How do you know

@BGTech1 4 года назад

I’m loving the wood color

@utetrahemicon 4 года назад

I like this one better than #3. It made me feel claustrophobic at times. This ones effect of poking out of some fabric and yet going into the scene too is interesting. Better without the bright colors as well.

@psykoj 3 года назад

I can’t get enough of Mandelbrot zooms! So gorgeous! Meanwhile I can’t zoom past 5 seconds in my own implementation :( I need to learn how these deep zooms are computed

@godfist314 4 года назад

It feels like I'm looking at nothing! There is no edge to this, there is no limit to how far it goes (AFAIK...), so it's the exact opposite of looking at a solid object which has edges, has a limit. So I'm not looking at an ordinary object or even a panoramic landscape. This defies those rules. I like it! :D

@troyevitt2437 3 года назад

Wow, what a thorough dissertation presenting the complexities of the Mandelbrot Set....The Mandelbrot set (/ˈmændəlbrɒt/) is the set of complex numbers c {\displaystyle c} c for which the function f c ( z ) = z 2 + c {\displaystyle f_{c}(z)=z^{2}+c} {\displaystyle f_{c}(z)=z^{2}+c} does not diverge when iterated from z = 0 {\displaystyle z=0} z=0, i.e., for which the sequence f c ( 0 ) {\displaystyle f_{c}(0)} {\displaystyle f_{c}(0)}, f c ( f c ( 0 ) ) {\displaystyle f_{c}(f_{c}(0))} {\displaystyle f_{c}(f_{c}(0))}, etc., remains bounded in absolute value. Its definition is credited to Adrien Douady who named it in tribute to the mathematician Benoit Mandelbrot, a pioneer of fractal geometry.[1] I think you could come up with a title like "Trippy visuals and nothing but a piano for audio" that might not mislead people into thinking this related to, you know, THE TITLE.

@christophermartinez8597 4 года назад

Holy fuck. I kid you not. I teared up a bit. Mind you I'm stoned, but goddamn it was beautiful. How can mathematics render something so organic looking?

@interstellarconveyance4865 2 года назад

Hello! As always you blow my mind. When I describe philosophy, Buddhism, cosmology or concepts regarding the infinite with my friends, whomever has the most difficulty in conceived notions, perspective or higher cognition regarding my personal 0bservations, I share your work. Within a few minutes, hours, or days, I know that the developmental cognitive links will be attained by merely letting go of our relatavistic bias regarding creation and time. How long have you been helping me? I think it been at least since 2017. I believe the work you do provides all of us with deeper neurological realizations, accessible only through years of meditation, designing Mandala, questioning the unknown. Here, I have always been able to find some of the answers. The nature of quantum mechanics, the concept of quantum tunneling, a brief look into one of the trillions of infinite directions that our lives might take. The flow of thought and how these images have helped me correlate some of my deeper intuition regarding dimensionality, our dimensionality and many more beyond my own limited vision. And of course, a heartfelt thank you 🙏🏻♥️ David

@RedgarChannel 4 года назад

A great show. I wonder who watched it all. I do. And you know what? I started to like piano music :)

@rgerber 4 года назад

OK now seriously after all those circles and repeating shapes, at the very end comes a perfect mandelbrot again. Is this pure coincidence? Then this is absolutely amazing 🤔😉

@BladeTrain3r 4 года назад

Makes my little toy animations in Tierazon look positively sad. Great stuff.

@pitpao 2 года назад

it's beautiful and terrifying at the same time

@sarqf212 2 года назад

I was very surprised to see a minibrot in the end

@chateaupig826 4 года назад

What about all the bits I missed !!

@JosephMelia 4 года назад

You can pause this video anywhere,and have a great design for a record cover...Are you adding a ssao post process? Looks like it.. it works beautifully....I love your choice of classical music and understated colours....absolutely stunning. I watched a whole 5 minutes of it..

@SVTCO 4 года назад

CAREFUL! Trying to fathom this can literally drive you crazy. Like having a billion times dreams within dreams, you lose track of which level is reality or normal perceived reality and remain lost forever.

@xtevetyler5332 4 года назад

STARTING OF ON THE REAL AXIS OF i= BUT AS ALL FRACTALS VERY SERENE AND BY 1:31 YOU DIVE OFF ON TO THE NEGATIVE OR POSITIVE IMAGINARY EUCLIDEAN AXIS , LOVE YOUR CHOICE OF MUSIC HERE

@jacobbbethune1763 4 года назад

As a future math teacher I found this fascinating. I can’t believe I’ve went most of my life not knowing about this infinite beauty. I recently learned of it and have fallen in love with it. Math is awesome.

@utetrahemicon 4 года назад

You mean 🇬🇧"Maths"🇬🇧, don't you?

@cmblcdoe6669 4 года назад

I would be cool to have an overlay of scale. For instance, start out with a width of 1 meter then as you zoom, show the relative scale. I wonder if this goes all the way to, or even past a planck length.

@skya6863 4 года назад

I'd guess it goes waaaaaaay beyond a planck length

@RipleySawzen 4 года назад

@@skya6863 That's a huuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuuge understatement. If you pick any spot in the video and use the arrow keys, it skips 5 seconds and you get a zoom factor of about 10. There are about 1,600 5-second intervals in this video. That is 10^-1,600. Planck is 10^-35.

@skya6863 4 года назад

@@RipleySawzen i did a quick thought experiment where i wondered the time to zoom in 10x and then took into account how long the vid is and got to the same conclusion, but i worded it that way to be humble to the op, didn't want the question to seem stupid

@Cragoon 4 года назад

@@RipleySawzen so about 3 min into the video we surpass planck length?

@RipleySawzen 4 года назад

@@Cragoon Yes! The futility of such high levels of accuracy. Looks pretty though. P.S. The universe is about 10^27 meters, so if the first frame was the visible universe, we'd be at Planck length in 5 minutes.

@lazyken6468 3 года назад

If only they made games this detailed.

@TheZacdes 4 года назад

hah, after watching it for a while i turned to look at the clock on the wall, and it was receding,lol. Go great with some magic mushrooms:)

@DagUTube 4 года назад

Beautiful colouring. Thanks! Almost too fast.. I'd like to have more time to see the details, to integrate what occurs. An advise: look at these dives with one eye closed; you will get, after ~6-10 seconds a real 3D feeling (I can explain this to the ones who believe that stereo is the only key of 3D visualization...)

@squatch570 4 года назад

Why don't you just reduce the playback speed?

@DagUTube 4 года назад

@@squatch570 Oh, thanks! I didn't this was a setting option

@squatch570 4 года назад

@@DagUTube Most welcome. The 3 dots in the upper right will give you the menu options. Enjoy!

@MikeinVirginia1 4 года назад

Oh yeah! I see what you mean about using only one eye. It looks like falling into a well. Thanks for.this insight. Something else to marvel about! 😮

@polaris7314 4 года назад

Amazing! I have a question. Is this possible at all: To change the speed of advance, so you can slow down on more interesting parts and accelerate in "empty spaces"; to rotate entire fractal (this would be especially mesmerizing)...?

@MathsTown 4 года назад

Yes. It's certainly possible. I just choose to keep things simple. Rotation can increase the render time because I need to calculate more data.

@polaris7314 4 года назад

@@MathsTown I see, maybe you can make a couple of short sequences just to see how it looks and to see feedback here on RU-vid. ;-)

@cheenis99 4 года назад

you can change the speed yourself

@polaris7314 4 года назад

@@cheenis99 Not in a creative way I am afraid.

@nicholasscott350 4 года назад

Decades ago I had a program on 5 1/4 floppy that made these Mandelbrot sets. You could tweak the formula and produce changes in the fractal environment. I don't know if anything like that is still available.