A Complicated Journey - Mandelbrot Fractal Zoom

Рет қаралды 273,691

4 жыл бұрын

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

Пікірлер: 369

@brycequinlan6213 4 жыл бұрын

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 жыл бұрын

fryed bryce all Mandelbrot zooms end like that

@d.e.p.-j.7106 4 жыл бұрын

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

@Liravin 4 жыл бұрын

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

@Liravin 4 жыл бұрын

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

@RoYaL3796 4 жыл бұрын

Infinity🤯

@MykkaM 4 жыл бұрын

>2 hour-long fractal zoom IM GOING IN!

@007bistromath 4 жыл бұрын

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

@kingaha3657 4 жыл бұрын

Nice

@Schoohness 4 жыл бұрын

Thanks for the tip

@valoriel4464 4 жыл бұрын

Thx, your cmt makes me smile.

@imagineaworld 4 жыл бұрын

Laugh my fucking ass off bro

@atlas4428 4 жыл бұрын

Robitussin is the one you need

@somemango9587 4 жыл бұрын

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

@Satyred 4 жыл бұрын

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

@hahdhsjsjrkfn 4 жыл бұрын

Take DMT...

@Satyred 4 жыл бұрын

@@hahdhsjsjrkfn clever girl

@tbd5082 4 жыл бұрын

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

@honeyant3119 4 жыл бұрын

rip kim's daddy

@LunchRide 4 жыл бұрын

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

@midbell 4 жыл бұрын

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

@lightspiritblix1423 4 жыл бұрын

That’d be both beautiful and terrifyingly lonely.

@mueezadam8438 4 жыл бұрын

Mid Bell abstract, I like it.

@carpycap 4 жыл бұрын

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

@mauigio 4 жыл бұрын

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

@5yri5 4 жыл бұрын

Lmao you're living it already.

@valoriel4464 4 жыл бұрын

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

@Treviisolion 4 жыл бұрын

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 жыл бұрын

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 жыл бұрын

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 жыл бұрын

And to be explored with backing poignant piano music.

@Sewiefortune 4 жыл бұрын

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

@gonelucid 8 ай бұрын

@@Sewiefortuneunderrated comment

@EbenVisher 4 жыл бұрын

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

@GabriTell Жыл бұрын

_"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"_

@stancartmankenny 4 жыл бұрын

amazing. Love the lighting on this.

@karltanner3953 3 жыл бұрын

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.

@mddell58 4 жыл бұрын

Gorgeous. Perfect music, too. Thank you. 🌹

@oscarbrizmusica 2 жыл бұрын

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

@guycomments 4 жыл бұрын

One of the best I have ever seen

@michaelvansise4887 4 жыл бұрын

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

@FordSeniorMaster 4 жыл бұрын

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

@sonshine5038 4 жыл бұрын

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

@jenv9862 3 жыл бұрын

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

@cannibalaaron1222 4 жыл бұрын

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

@brandonparker7551 3 жыл бұрын

Hauntingly beautiful thank you

@iahelcathartesaura3887 4 жыл бұрын

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.

@orbitty1069 3 жыл бұрын

Infinitely beautiful ~ Thank you

@jimsadventures7118 4 жыл бұрын

So much detail, my mind will explode!

@joelerickira 4 жыл бұрын

Absolutely Stunning.

@Electrozonelectronic 4 жыл бұрын

Wow. Best zoom ever. Thankyou.

@deinemutter4403 4 жыл бұрын

Yo this is where the flying dutchman sent squidward

@bautistaprioletta8694 4 жыл бұрын

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

@destroyer2496 4 жыл бұрын

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.

@BloobleBonker 4 жыл бұрын

Incredible. Great 3D effects.

@ginsubrown 3 жыл бұрын

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

@joaniemama111 4 жыл бұрын

Amazingly relaxing and so so beautiful ❤️ thank you 😊

@v-sig2389 4 жыл бұрын

Beautiful

@Beautifulmotive Жыл бұрын

Thank you! It's beautiful and magical!👍

@gangleweed 4 жыл бұрын

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.

@charleswilson2134 4 жыл бұрын

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

@charleswilson2134 4 жыл бұрын

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.

@truBador2 4 жыл бұрын

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...

@user-yi5ev9oh7d 4 жыл бұрын

the best video work ever! great work.

@gonzalochristobal 4 жыл бұрын

beautiful

@Liravin 4 жыл бұрын

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

@utetrahemicon 4 жыл бұрын

That's just a wine spill.

@psykoj 3 жыл бұрын

It’s all related! Persians sufi dervishes mandalas

@rudybigboote3883 4 жыл бұрын

The most beautiful one I have ever seen.

@haccabiart 2 жыл бұрын

very nice

@screamingmimi90 4 жыл бұрын

It’s gorgeous!❤️

@virginalghost1847 4 жыл бұрын

Ooo I like the colors on this one!

@myearshurtnoone1367 2 жыл бұрын

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

@tonysansom 4 жыл бұрын

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

@Enigma758 4 жыл бұрын

Why disturbing?

@tonysansom 4 жыл бұрын

@@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 жыл бұрын

I get it now. Thank you.

@tonysansom 4 жыл бұрын

@@Enigma758 You're very welcome.

@skya6863 4 жыл бұрын

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

@drlo728 4 жыл бұрын

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

$@fractaltree4599$

@fractaltree4599 2 жыл бұрын

I love this!

@dantemartinez8860 4 жыл бұрын

Beautiful! A real cosmos

@realcygnus 4 жыл бұрын

Amazing

@boxepunch4955 Жыл бұрын

Great conception

@PCcardboard1354 Жыл бұрын

This is SO BEUTIFULL!!!

@mueezadam8438 4 жыл бұрын

Nice choice of colour 👍

@logos7logos7 4 жыл бұрын

Awesome!

@BowandSvent 4 жыл бұрын

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

@sharlenemusiclover3486 4 жыл бұрын

Very cool, thanks❤️🎬🎤🍿

@ellopropello 4 жыл бұрын

that was awesome

@gentinmedia Жыл бұрын

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

@OppositeDay5 4 жыл бұрын

ThanksskssnksskssnksskssnkssksshankskssksskssanksskssnHanksskssnksskssAnksskssnkssksshankskssNksskssanKsskssnkssksS for doing this

@texasiguana 3 жыл бұрын

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

@GoodMusicManiac999 4 жыл бұрын

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

@heathrobinson 4 жыл бұрын

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

@RashaMattBlais 4 жыл бұрын

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

@lauriethefish2470 4 жыл бұрын

Yes

@user-dd7jy6jj8u 4 жыл бұрын

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 жыл бұрын

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 жыл бұрын

All of it

@mileswaugh 4 жыл бұрын

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.

@hanihani9029 2 жыл бұрын

Thank you good sir

@BGTech1 4 жыл бұрын

I’m loving the wood color

@alexaplays1124 2 жыл бұрын

I'm getting addicted to this

@psykoj 3 жыл бұрын

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

@Dadinquisitor 4 жыл бұрын

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

@user-vn7ce5ig1z 4 жыл бұрын

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

@robotempire 4 жыл бұрын

We’re smoking different weed

@nathandeere683 4 жыл бұрын

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

@somerandomdragon558 4 жыл бұрын

Meep. :o

@grahamkey8496 4 жыл бұрын

There be penguins at 2:40:00

@pikminfan6778 4 жыл бұрын

30:44 There be swans.

@interstellarconveyance4865 2 жыл бұрын

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

@davidhoran7116 4 жыл бұрын

Saving this for the next acid trip

@lewliteki 4 жыл бұрын

Cam Acho he could also just exit out of the video

@Druid_22b 4 жыл бұрын

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

@lewliteki 4 жыл бұрын

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

@bradley6348 4 жыл бұрын

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

@oderflacarls4503 3 жыл бұрын

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

@corgipawproductions1589 4 жыл бұрын

I will probity watch this on my next airplane flight

@godfist314 4 жыл бұрын

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

@kcsi1 4 жыл бұрын

This shading looks outstanding decent.

@dreingames9137 4 жыл бұрын

Yes very outstanding decent

@bukster1 4 жыл бұрын

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

@rgerber 4 жыл бұрын

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 🤔😉

@christophermartinez8597 4 жыл бұрын

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?

@jackiechan3509 Жыл бұрын

The beauty of Quantum physics

@BladeTrain3r 4 жыл бұрын

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

@lightspiritblix1423 4 жыл бұрын

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.

@JosephMelia 4 жыл бұрын

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..

@troyevitt2437 3 жыл бұрын

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.

@xtevetyler5332 4 жыл бұрын

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

@utetrahemicon 4 жыл бұрын

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.

@jacobbbethune1763 4 жыл бұрын

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 жыл бұрын

You mean 🇬🇧"Maths"🇬🇧, don't you?

@RedgarChannel 4 жыл бұрын

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

@Hussela77 2 ай бұрын

🔥🔥🔥

@StopMrDweller3688 4 жыл бұрын

Relaxing Music

@nicholasscott350 4 жыл бұрын

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.

@artisttromeaudiovideocreat5098 2 жыл бұрын

🔥🔥🔥🔥

@BriarHood 4 жыл бұрын

This is the universe.

@pitpao 2 жыл бұрын

it's beautiful and terrifying at the same time

@LetMeDieLord 2 жыл бұрын

I love this! I am indeed VERY grateful that you make these videos. Has helped me through difficult times - seriously! ..By the way - your audio is distorting a bit. You might wanna talk to someone who understands audio to avoid this in the future. Keep up the great work. Fantastic! EDIT: Love the colouring method and your choice of colours a lot, too! Not to mention your choice of music. Really puts me into another world.

@MathsTown 2 жыл бұрын

The audio is professionally produced by Epidememic Sound. I haven't edited it, so might be on your end.

@LetMeDieLord 2 жыл бұрын

@@MathsTown okay, sorry. I just wanted to help.

@Liravin 4 жыл бұрын

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

@musicasrelaxantesrgk3637 3 жыл бұрын

Maravilhoso!

@heyokaJack 2 жыл бұрын

This is sooo amazing! I'm curious, why are certain parts different colors, and why do they have a lighter or darker shade? It looks like there's a light source coming from the side, but I was wondering if it was some other reason for the shading?? Thank you again!

@BobBob-cy9cu 4 жыл бұрын

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

@lazyken6468 3 жыл бұрын

If only they made games this detailed.

@paulsmith.6677 4 жыл бұрын

You should use the song "Klein Mandelbrot", by Blue Man Group. I think it's about a guy whose cat falls into a Mandelbrot set, and will never be seen again, and the only thing he has to remember his cat are home-movies.