The Third Order - Mandelbrot Fractal Zoom (3e1511) (4k60fps)

This is a unique deep zoom with 3rd order features! This video has some of the best multi-way symmetry that you will find in any of my videos, try starting around 1:42:39 if you are short on time. This zoom video is designed to feature two different embedded Julia sets. You find embedded Julia sets when you pass into the influence of a mini-Mandelbrot. In this video the main Mandelbrot (1st order) creates hair-like features. From the 2nd order Mandelbrot we pick up features of the Julia Set with the mushroom spirals. The 3rd order gives another embedded Julia Set which is recognisable from the very dense colour changes.
Often the 3rd order areas are very dense and increase the iteration count very quickly, which can make them hard to colour. To compensate I've tried to design a colour scheme that works in all points of the video. This makes for a very mellow colour scheme in the 2nd order areas with only minimal changes in hue. As we venture in and out of the 3rd order areas the colour changes are quite dramatic. There is an amazing 3rd order spiral at 50:06 that repeats itself with higher symmetry later in the video.
The music is by "ooyy". If you don't like it, please don't complain, just play your own :-)
This is a traditional Mandelbrot zoom, with traditional linear colouring.
Depth: 2.96e1511
Iterations: 8.8 million.
Software: Kalles Fraktaler / After Effects
Colouring method: Linear.
This video is best viewed at high-resolution. The original high bitrate version will be available for Patreons as soon as it finished uploading. (61.8gb mp4)
Thank-you to my supporters on Patreon.
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Patreon: / mathstown (Support, Downloads & Usage Rights)
Website: www.maths.town
Twitter: / mathstown
Ko-Fi: ko-fi.com/mathstown (Buy me a coffee)
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[@chufa72]

This is the point where math nerds and stoners converge

[@yourrealdad9442]

If you fit into both categories you've just ejaculated not twice, but thrice

[@packersnerd]

Psychonauts*

[@amitygames9318]

Nerds are sensitive people who haven't discovered the joy of stoning, and stoners are sensitive people who haven't discovered the joy of math...

[@badbeardbill9956]

Asymptote

[@otissaint9772]

I AM BOTH 3:)

[@captainchaos3667]

It blows my mind that at the scale of the end of this, the size of the entire fractal that it started from is hundreds of orders of magnitude larger than the size of our universe.

[@ryann7760]

well to tell you the truth, the area of the mandelbrot set is approximately 1.506484 units. The scale of the fractal towards the end in relation to the starting scale when compared to the scale of the earth / universe is 3.467513e-1492 (earth / universe) / (startscale / endscale) So really, "hundreds of orders of magnitude" isn't too far off. www.fractalus.com/kerry/articles/area/mandelbrot-area.html

[@MuddaEE]

So now you know the magnitude of our universe? When did people become all-knowing? i wonder..

[@sj0nnie]

@@MuddaEE Estimating something is not being a know it all. Knowing the size of the earth doesnt make you a know it all of earths knowledge.

[@MuddaEE]

@@sj0nnie Indeed it makes you a know it all since you have no idea wether this information you are accepting as facts is facts at all. On other notes, we were not talking about the size of earth but rather the size of the Universe, which in my opinion, if you claim to know, you are definetly a know it all. The definition of it even. How can one claim to know the size of this universe? Or even claim to know what it is or is not. Who gave you this information, who proved you this fact? Think a little for yourselves. Peace!

[@sj0nnie]

@@MuddaEE Maybe if you look into the science you would know instead of brambling bullshit. It aint some assumption made up by some old guys in the basement. It is an estimation based on mountains of calculations. Science does not claim to know anything. Science predicts. And you can reject the calculations, no one cares. No one is pointing a gun to your head to accept the size of the universe. Ordinary people use terminology like "know" in a conflating way. Your assumption that science is a claim to knowledge is deadwrong. Again, science is about predictions. Currently, the best calculations show the universe is size X. If you can proof it wrong or have better calculating methods, the science community will happily examine your findings. That is how humanity got from living in caves to people posting comments on youtube from their smartphones connected through a vast datanetwork.

[@Eclipse1374]

I'd love to see fractals in virtual reality.

[@MathsTown]

Try this: kzbin.info/www/bejne/gYS2daKvr96Kl6M

[@packersnerd]

Try Acid

[@breadlord3608]

Oh man, that would be scary..

[@giantrunt]

On LSD?

[@ianmiles6813]

what about fractals in reality

[@xoxobvrbie]

What always scares me is that when these fractal videos finish, it always ends with the black fractal. It’s terrifying. Because there isn’t an end. Things with no ends are just incredibly freaky to me.

[@Slarti-Bartfast]

Its the mathematical infinity. Like the size of the mathematical point is zero. In our dayli lifes there are physikal borders. And because our brain isnt endless we cant imagine infinity. Everything is nothing, nothing is everything. And all becomes one, like one becomes all. Trippy shit......

[@rapidreaders7741]

Lol the computer was like "NOPE!! Screw this, I'm done"

[@breezywolf14]

you curiosity doesnt end

[@benjaminguiness4344]

you know whats even more terrifying.. there is no beginning to the beginning either..

[@joshberna5801]

That's why the real world requires Planck units for distance and time

[@cosmicmelon9305]

"Alright kids we're going on a road trip!" "Where are we going, daddy?" Me:

[@memeurr--dreemurr8530]

_straight to heck_

[@Glisten456]

We’re going everywhere... and nowhere.

[@inspiringothers7197]

Buckle in kids!

[@ThisAVaporeon_3333]

“Going in mandelbrot.”

[@rozes806]

now imagine, one tiny pixel of what you see on your screen, that one tiny speck, represents us on earth. now look at whats out there, the world is always expanding. near infinite numbers, infinite possibilities. each one perfect even if it doesn’t look like it. now imagine your life, all the things you do, those decisions you make and the choices made you. every single one of them happened for a reason and they’re all part of the larger picture no matter how insignificant it seems. the road that you take depends on the path seek and the purpose of that is to share your life experiences to others that you love and to tell them this. we are all perfect and and we are here for a reason no matter how hopeless things might look like they be, you are loved.

[@SamplePerson]

Just wow!

[@memoryaccessviolation]

It really makes you think..

[@brienmaybe.4415]

This is just math. You are putting concept where there is only math. This has nothing at all to do with the universe the cosmos or the entirety of life, at all.

[@rozes806]

you might be right

[@brienmaybe.4415]

@@rozes806 I might be wrong. After all everything is you or what you call the feeling of oneness. Including this Mandelbrot and math and well, everything. Math is a measurement of space and things. Just like time, which is a measurement of change. While yes these arbitrary measurements exist and are partially important like the ego is, they do not hold weight to the total reality of what is. And what is, is, you are the whole blinking cosmos. Namaste, amen, om 2+2=4 and all the other salutations. Don't forget it's still your experience after all.

[@zfloyd1627]

Song list: 0:03 Tei - ooyy 3:13 Strending kids - ooyy 6:10 Khandi - ooyy 8:54 Bermuda - ooyy 12:09 Divergent - ooyy 15:28 Sober Language - ooyy 18:54 Siren Screen - ooyy 21:42 Retrouvailles - ooyy 25:31 Organic Bijou - ooyy 28:40 Heliolingus - ooyy 31:31 Genesis - ooyy 34:11 Gelatin Nature - ooyy (the most relaxing one in my opinion) 37:36 Teenage Lullaby - ooyy 40:32 Barely Floating - ooyy 43:39 Tei again. After that, the loop repeats. Maths town did not provide a song list, all he said is that the music is by ooyy, so I searched youtube for songs by ooyy that matched what I heard in this video and compiled a list for you. I could not find the song at 21:42 at all, and I am sorry. But I did find all of the other songs in this video. And also, if anyone knows the song an 21:42, please let me know. EDIT: I finally figured out the name of the song at 21:42. And I updated my list accordingly.

[@thedoublessymbol]

This needs more likes

[@zfloyd1627]

@@thedoublessymbol thanks!

[@Damaniel3]

Most underrated comment on this video.

[@StarGarnet03]

This needs to be pinned

[@zfloyd1627]

@@StarGarnet03 agreed.

[@KeyboardMoment]

What I love about this video is that I like to imagine that the multiverse is real and it's just a massive Mandelbrot set and a pixel of this is a universe of it's own. It's just mesmerising, I could watch this for hours and never get bored even once.

[@TampaDave]

Yes, it feels like this is a hint at how to understand that everything is fractals within fractals. With no repetition into infinity, I assume. It evokes a God-like feeling, to seem to glimpse this deeply into the makeup of the universe.

[@lucabaar1]

56:12 arrangements like these make me believe there is something deeper being conveyed through the composition of the imagery in mandelbrot set. Like this image depicts a natural event or potential occurrence in space, or refers to a certain system or function that could exist in some conditions

[@semicolumnn]

It only refers to a function f: C -> C It can't tell you an event or an occurrence.

[@TampaDave]

It does feel that, as we are watching, we gain in understanding how there could be levels, with different physical laws, below the subatomic and also above the galactic level. We only see the two levels on either side of us. Each has basic rules that do not match the rules in Newtonian physics. By zooming below the microscopic, we peel away the layers, and eventually expect to get to the center of the onion. For however many millions of iterations we hold out in our expectation, so it is a pretty special onion.

[@badbeardbill9956]

I feel like a concert with this playing on a screen would be epic

[@Caleb-zj9xi]

I listened to Echoes. It was fantastic.

[@secretsquirrel5566]

I put in Pink Floyd's Animals, followed by Dark Side of the Moon. Highly recommend. No pun intended.

[@Hypie582]

@@secretsquirrel5566 what pun?

[@MrManueleh]

I watched this with vr googles. Greatly intensifies the experience.

[@BrettonFerguson]

Watch this with LSD greatly intensified the experience. In fact take enough acid you don’t even need a computer to experience it.

[@jpires89]

@@BrettonFerguson True! ahahaha Weed is a good choice too

[@cpSharkBlast]

@@BrettonFerguson true

[@cpSharkBlast]

Except i dont reccomend LSD one bit

[@rubio3245]

Love it how sometimes the colour variety is pretty low but suddenly becomes so beautifully colourful 😍

[@moothemoo4896]

This zooms in by an order of magnitude about every 4 seconds. Or it gets 10x bigger. The visible universe is 10^26 meters wide. A hydrogen atom is 10^-10 meters wide. You could be looking at a picture of the universe with infinite resolution, zoom in at this rate, and a hydrogen atom would fill the frame in less than three minutes.

[@HDitzzDH]

Which is absolutely mind-blowing, it makes the entire universe seem pretty small in comparison.

[@gamercatsz5441]

Yaeh, I got like 5% of that.

[@Sarahstearsdandelionseeds]

what does that mean

[@wrapitupvehiclegraphics919]

The VISIBLE universe. This does a great job of demonstrating how much could actually be out there that we can’t see or have any way of knowing about. What if the universe is actually this big, or bigger? So are such an insignificant part of such a massive existence. Blows my mind. Edit: added this on my business account, whoops haha oh well 😂😂

[@onionman8160]

@@wrapitupvehiclegraphics919 It's pretty damn unlikely that the universe is the size of this Mandelbrot zoom. If it was, then the expansion of the universe must be immensely faster than it's thought to be, as the universe is only 13.7 billion years old.

[@minhoform]

Finding minibrot: The movie 10/10 ⭐️⭐️⭐️⭐️⭐️

[@tsffmw]

I am not a clever mathematician. But I know The Mathematician who created all this and the beauty is indescribable. Just like Him. Beautiful beyond description. Thank you again.

[@semicolumnn]

At least say Mandelbrot its literally in the name 😭😭😭

[@SkyDarmos]

Nobody created this. It was discovered. It always existed. In the Platonic realm.

[@thisisachannel8472]

you taling about Benoit Mandelbrot?

[@sasukeCS7]

@@thisisachannel8472 God

[@9box906]

You have yet again summoned the internet atheists who are incapable of experiencing joy through any means other than telling people with a source of joy that they shouldn't have it

[@Sensenwerk]

1:43:40 amazing. The final part, getting nearer and nearer to a circle-patterns is incredibly hypnotizing.

[@memeurr--dreemurr8530]

At this point my sanity and understanding of the universe is fricked with everything that can frick.

[@_goldfish]

the reason you get these circle patterns is because of floating point, the numbers get too small, so they get less precise, so you don’t get to see the pretty patterns that are ***really*** there

[@_goldfish]

this might not be that accurate though, but it’s what i’ve heard

[@paulzupan3732]

Gosh, Mandelbrot Sets are just beautiful. It's mind blowing that an object of infinite detail can be created with a few imaginary numbers on the complex plain.

[@semicolumnn]

Not a few technically. You need all of them

[@TampaDave]

@@semicolumnn Only ones that conform to the formula.

[@RaindropsBleeding]

this is so psychadelic. it's like stuff just appears out of nothing, and yet, it was there the whole time.

[@LiberateAlberta1907]

Better watch this when your stoned lol

[@Superjax16250]

It literally took an hour to go back to the original shape of the fractal just for it to repeat itself again. Just imagine falling through that and all you're ever doing is falling and no mater where you fall, it's always gonna be a pattern of each pattern and inside that pattern is another one filled with more patterns until you reach to what you thought is the "end" but you just keep falling into that fractal and it keeps going. This is terrifying, but fascinating to think of. Mostly terrifying

[@fetamean]

This is the greatest thing to ever hit mathematics, to be honest. If I knew how to make a mandelbrot set I would make one and explore for infinite time, going through different spirals of, always finding something magnificent

[@spreckrosekrans667]

One of the reasons I love math - so truly mind boggling that the equation is so simple.

[@danielmartin9607]

It spooks me out every time I see video of fractals similar to this one. It's a mystery within a Mystery., yet clear to the light born. Somebody else told me that I was traveling through hell without end whenever I watch fractal videos, and actually told me I was evil. I said, "What makes you think that Nostradamus ?

[@ThorstenSchaefer73]

It ist faked or it is really computed? I Hope so.... What so you think about it?

[@semicolumnn]

@@ThorstenSchaefer73 It is a simple iteration done on complex numbers and seeing how long they take to diverge. The fully black spots at the start indicate that this iteration converges at that point in the Complex Plane.

[@semicolumnn]

@@danielmartin9607 It is not a mystery. It is a function. We can plug in numbers and get new ones. That's what a function is.

[@TampaDave]

@@danielmartin9607 Who wouldn't prefer watching fractals than being in flames and stuck with pitchforks? How does this connect with hell? More like the sub-atomic, and the level below it, and so on. And it is hard to argue that the subatomic level is hell, since it contains the God particle.

[@curtiswallen8977]

By far, one of my favorites. Thank you for taking the time to create this.

[@icysoda12]

The funky ass music in the backround when we are descending into the deepest realities

[@johannesbusch8161]

Thank you again! Wasn't able to watch the whole video but at the end it gets really spectacular. Beautiful!

[@gilgard294]

Why do the mandelbrot zooms always end with circles? Just curious

[@Stickyxgo]

Depends on the point that is chosen as the center. Also how close you are to your machine precision.

[@gracicot42]

When you approach a converging point (a minibrot) the complexity increases and will tend to form the border of the minibrot. When the convergence is deep enough, the complexity has plenty of time to increases a lot. When the complexity is really high and the minibrot far enough, the border of the minibrot is not yet influencing the patterns shape yet, forming a circle. It make sense because the iteration 0 of the Mandelbrot set is a circle. This is my interpretation of it. Maybe someone with better knowledge may answer it better.

[@MathsTown]

The circles are because of the minibrot at the end. You will notice that the rotational symmetry increases through the video. From the 1/2 way point, the video replays with 2 way symmetry, but taking 1/2 as long. Then it replays with 4-way symmetry taking 1/4 the time of the original. Then it replays with 8-way symmetry taking 1/8 as long.. . You get the idea (16, 32, 64, 128, 256 etc...) By about 128 symmetry this looks like circular patterns, but they are probably not exactly circles. As you get closer to the mini-brot you can zoom in to find patters repeated almost infinitely many times. Once you cross the point of infinity you will find a minibrot. Note: 1/2 + 1/4 + 1/8 + 1/16 + 1/32 .... etc is a infinite series that equals 1

[@Brainitorium]

@@MathsTown thank you for your work, this is exactly what i needed and was searching for. My heart goes out to you.

[@RetroGameSpacko]

@@Zuluknob No, it converges to 1

[@deborahlabreck8457]

My mind is blown away. This is incredible. I love, love,love these videos.

[@zfloyd1627]

The music and the color pallete make this video BY FAR your most calming video.

[@Raygirly]

I really like the music choice, especially when the purple tunnel starts. Very mesmerizing!

[@carysorensen3029]

I’ve played around with fractals but I could never put on such a show. Really good job!

[@irreview]

ALWAYS WANTED TO SEE YOU DO A LINEAR DEEP ZOOM! LOVE YOUR STUFF! It relaxes me so much! To think this is all one equation, between 2 and negative infinity!!!

[@AfroSnackey]

negative two and positive one, my guy

[@irreview]

​@@AfroSnackey thank you for the correction.

[@MathsTown]

Yes, it is astounding that all this comes from such a simple equation. For those interested.... you could say the Mandelbrot Set is contained within a circle of radius 2 (about the origin). On the real number line only, it has a range of [ -2, 0.25]

[@bm-br3go]

Currently taking a course in complex dynamics. This stuff is really neat, and there's such a bigger world of it out there. I encourage everyone to look into it for themselves!

[@criticman123]

Infinity visualized. Leaves one utterly speechless.

[@baunaco]

Life is infinite. You could actually zoom like this into to your fingertip. Your senses are the only thing limiting you.

[@Corncycle]

bro WHAT

[@maezelbop]

Actually, as we currently understand it, the universe has infinite space, but finite granularity. The Planck length represents literally the "smallest thing".

[@edwardfoxx4610]

1:57:12 Where did that bring you? Back to me.

[@gandalfos]

babybrot is inevitable

[@nickthegreat4795]

I was gonna comment that

[@jhc322]

When I watch this, I don’t even need any mushrooms. I am immediately pulled into my seed and my brain goes right into a full psychedelic experience. I love these videos.

[@maryfreebed9886]

These are the most beautiful things I have seen. There are things that are more personally meaningful, and things that are more welcome, but these are the most beautiful.

[@zfloyd1627]

Also, the frame at 50:12 is GORGEOUS! You absolutely should have used that as your thumbnail.

[@nicholasbrunning]

Fuck yeah

[@marthesegaucibogovic736]

1:46:12

[@o_o-037]

My favorite part isn't in the video itself, but afterwards when my screen goes all wibbly wobbly.

[@emilyjones8540]

( O_〉O)? Timey wimey

[@GoogleUser-dwcy]

@@emilyjones8540 well isn't that wizard

[@user-iw7ds4vh8j]

i play this with different calmer music, but the visuals are awesome and more varied than you normally find

[@braddoomsday6401]

thanks for all of your hard work, it is appreciated.

[@scottibugatti7122]

Feels like I’m traveling through multiverses

[@packersnerd]

I will be watching this on my next trip. Thanks a ton

[@nilacof]

it made me bored as fuck off 250 ug just look at the trees instead

[@zfloyd1627]

@@nilacof okay boomer.

[@nilacof]

Z Floyd i’m 19 buddy dont look at cool colors on your phone on acid look at the world or use your phone just for music trust me

[@zfloyd1627]

@@nilacof I do not use acid.

[@jannesdressel5421]

This video literally synergizes with every music

[@tosvarsan5727]

I'm always amazed of how much talent there is out there! Great work man

[@Morbidity100]

every one of these fractal zoom videos needs to end with zooming through stars and then finally zooming into a full view of planet Earth just to fuck with people

[@gijane02]

;\

[@javiroffo]

Love how the video makes me hallucinate 😍

[@Lunar_Capital]

Thank you for showing up in my recommendations, this is amazing...

[@iangarbutt7451]

I am so loving this journey into ♾..... Thank You So Much!!!👍

[@shepdgc.og.soldier7732]

Excellent my friend.Starting to get hooked on these.I could be doing worse I suppose😆.Have a nice day.✌️

[@josephmikaele5026]

I passed out last night watching this on acid and edibles

[@spawn2110]

Sounds like a hell of a time man

[@gijane02]

???

[@fractaltree4599]

I love this!! It's a mixture between 2nd power and third power!

[@robincarr4238]

Absolutely gorgeous! Mesmerizing! 😻

[@StanTheObserver-lo8rx]

Although PBS spacetime once blew out of the water that the Universe is a mandelbrot, -something about the uncertainty principle crushes the predictable mandelbrots..it does show what might be infinity on the macro scale could be. Yes,we might be where the big mandelbrot starts!

[@bingobangobongo480]

Never heardnof mandlebrot. Dunno why it was recomended. Just amoke weed for the 1st time.in 26 years then watched this.... now im spazzed out

[@wmwdntro]

In something so incredibly small, stored an entire universe. And inside every single atom in that universe, there are infinite numbers of universes. It goes on and on and on endlessly. It has no head nor tail.

[@Mr3344555]

One thing I got out of watching the whole video as a life lesson, "you're only here for this part, even thought it's dark, it's only temporary. See yourself as a mandelbrot set and you will find some peace as youll know there are ups and downs." Good luck guys, thank you mathematics, science and life!

[@kaioy9296]

and this is just such a tiny part of infinity... now just imagine that at the end of the video it will just start again (or at least it will be very similar

[@semicolumnn]

It is a tiny part of infinity. Any finite number is closer to 0 than infinity. You cannot reach infinity with a finite function unless you iterate it infinitely which a computer cannot do. This is a tiny part of infinity is trivial 2 is a tiny part of infinity. A googol is a tiny part of infinity 10^googol is a tiny part of infinity.

[@D1g1talMess]

Welp, that's two hours I'll never get back. Happy to donate them to wonder at math and art in a perfect blend, but still. Could've used them to do homework. Oh well

[@matiibelly2852]

this is my homework ahahahah

[@hamishallan4723]

There'll be plenty of hours for homework.

[@user-rd7jv4du1w]

It's mindblowing that a simple equation creates a beautiful and complex structure

[@semicolumnn]

Can be said about most of Complex Analysis and math itself. Amazing how a few axioms can build the foundations of mathematics as a whole.

[@TampaDave]

@@semicolumnn the same is true of logic, and of each branch of science. Like fractals within fractals.

[@fernandostrodrigues1]

This reminds me of those dreams when your falling and you wait for the impact but It Just never comes

[@Youtriedit007]

I almost left my body while watching this earlier. For real.

[@BrettonFerguson]

The first time I watched this I had left my body. Also the internet wasn’t a thing yet and they didn’t have computers powerful enough to process the Mandelbrot set.

[@semicolumnn]

@@BrettonFerguson The Mandelbrot set was visualized by printing though ?

[@BrettonFerguson]

@@semicolumnn The basic image was visualized by printing yes. It wasn't very detailed and you couldn't zoom in. My comment I was trying to make a joke. I first experienced zooming through fractal geometry when I took too many hallucinogens as a teenager. Everything around me, the universe, looked like I left my body and was zooming inside of the Mandelbrot set.

[@irreview]

I discovered you two weeks ago, a few days after you did the first Sapphire zoom. Love that so much. Please do more. I subscribed right away and this is the hilight of my week!

[@MathsTown]

Welcome to the channel! Thanks for the message, there will be plenty more... :-)

[@IT3XM3XI]

This was awesome. Thank you for making this.

[@TheGadileck]

I watched that too long before coming to the comments.. now I can't stop my eyes from zooming out. And no, the weed probably isn't helping!!! Just got done watching the episode "Answers In Genesis" did on The Mandelbrot Set (one of my favorite math lectures), then found this wonderful rendering. Love this stuff!!

[@lindawoody791]

0:52 fractals really go with the music

[@ilikemitchhedberg]

Very lovely zoom! Great music, amazing choice of colours, just so pretty. Oh, and the zoom speed was not too fast, not too slow. It put me in a very relaxed mood!

[@susanto2956]

Iouglkmnhbb bbhjjhv

[@nosferatu8530]

Absolutely mindblowing on my Sony 65inch AG9, with all lights off....wow!! No words 😍😍

[@nathanprice7596]

I’ve had dreams where I am in an infinite house with an infinite number of new rooms to explore and these Mandelbrot zooms give me very much the same feeling.

[@dex_mandelbrot7105]

Science and art had a love child.

[@silence439]

*math* and art

[@breadlord3608]

Silence43 Hey, you somehow got into my mind and stole my idea!

[@StarGarnet03]

Love the username and profile pic, Dex_Mandelbrot

[@MrZoomZone]

Wonderful. How long did this take to produce?

[@StellaLovesMusic25]

kzbin.info/www/bejne/nX_Fhqqfh7eretU

[@ThisAVaporeon_3333]

https:😂😂😂😂😂😂😂😂😂😂😂😅😂😂😅😇😊😊😊😊😊😊😇😊😊😊😊😊😊😍🥰🥰😍🥰😍🥰

[@TheCourtsofChaos]

you guys record the coolest fractals i've ever seen!

[@dotssarah.dotsie.doherty2440]

I love it! Can't help but imagine that theres even more colours out there than the human eyes retna alowes us to see

[@dotssarah.dotsie.doherty2440]

Menta say that our eyes aren't advanced enough yet to see

[@fvckyoutubescensorshipandt2718]

This makes we wish there was a 4x speed.

[@Snoopers42]

I can't imagine how long it took to render this!

[@novatraugott]

This is the second Mandelbrot zooming video that I´ve watched! It´s pretty!

[@fgwp]

Note that you need "only" about e40 zoom to enlarge the electron to the size of the observable universe. This is e1511.

[@theawesomegamerofeverythin2408]

I like the part when it zooms in...

[@meisterschiumpf9759]

I have a question maybe someone can answer: Are there numbers which diverge in any z^n+c but not in the following z^(n+1)+c set? And if not i would really like to see the changes so if you would take any number of iterations and not painting when it leaves the circle of radius two, but on which z^n+c set it diverges in time of theese number of iterations. (im just 17 and really interested in math, so sorry if there is something not corectly expressed)

[@MathsTown]

If I understand your question correctly: Yes there are several numbers that diverge for one power, but not for the next. To see this visually, take a quick look at this video: kzbin.info/www/bejne/pZ3PnYppfdx8eMk You can see what happens to the set as you increase the power. (The sets of all integer powers greater than two are contained within a radius of 2.)

[@meisterschiumpf9759]

@@MathsTown I really do like you for the answer and yes, that was what i meant. I have already seen something like the beginning, but forgot i did. Still thank you for your answer

[@gaia35]

Thank you for the high quality upload.

[@planetultima4765]

When you stare at the video long enough reality itself starts to flow with the image as in everything slowly pushes away like it's getting smaller or something similar to shrinking pretty cool

[@semicolumnn]

No. This is just iteration done to complex numbers.

[@woof7538]

@@semicolumnn The person is just referring to it looks trippy if you stare long enough at it, relax.

[@andrewshort6440]

What does "depth" mean here? I want to understand how large, e.g. the original Mandelbrot bulb is compared to the final minibrot. Thanks; beautiful video!

[@yeokonma]

Does the Mandelbrot even have depth? I'm assuming it's just 2d but you're just zooming in to see more details

[@andrewshort6440]

@@yeokonma It's an interesting question. You could look at the scale you're viewing as a third dimension, here; i.e., if the range of numbers on your screen goes from 0 to 1 on the x axis, that's going to look a lot different in a fractal than if the range of numbers shown is from 0.9999999999999999 to 1.

[@kwillzmz]

Who watches while tripping 🖖🏽

[@vitorhanauer520]

I don't, but I will

[@Lunar_Capital]

I need to somday

[@janetownley]

Seems the definition of ‘tripping’ has changed. If you can find a device and get to youtube and type words....

[@fazertace6837]

Everyone

[@rjjs6393]

INCREDIBLE

[@dxtrum]

truly a great brot

[@deceitfulbrain3768]

Why does it always end on another Mandelbrot or is just an infinite loop of Mandelbrot inside Mandelbrot

[@helgefan8994]

Yes, there are infinitely many small Manderbrots in that first big one. All these spirals and filaments are full of them! Fun fact: The Mandelbrots are all connected by a net/chain of even smaller Mandelbrots, making up a single connected black area (called the Mandelbrot set) with an infinitely long boundary.

[@WALLACE9009]

Fractals are gates to other universes.

[@rednidedni3875]

...No, they just look neat

[@WALLACE9009]

where is all this information coming from?

[@rednidedni3875]

@@WALLACE9009 From this algorithm: 1. Take a complex number c 2. Multiply this number by itself 3. Add the original value c to it 4. Repeat steps 2 and 3 until it's clear that it will go towards infinity, or until you hit the iteration limit 5. Color the dot representing this number in a color dependent on how many iterations you needed to determine it wasn't infinite - if you hit the limit instead, color it black. Really, it just comes from all possible points in a certain area of a 2D plane going through a fun formula.

[@WALLACE9009]

@@azgoh9098 damn auto-corrector

[@WALLACE9009]

@@rednidedni3875 Good explanation. I know..... but, where does all of that wonderful stuff come from? How can such a simple algorithm with just a couple of real values as input could produce such an immense amount of beauty and variability? Can I claim this equation is a GATE to some other place If I can get from it so much more than what I put in? This is the definition of magic! It is an magic spell!

[@rodetroner1]

I like how, in the last minutes, you can see patterns appearing in powers of 2. The are “stars” with 4 points, then 8, 16, 32, and they begin to appear faster and faster. Eventually you get, I guess 1024 and it’s doubling so fast, the points of the stars can’t be distinguished, and it seems, number of points goes to infinity. And coincidentally as this happens the Mandelbrot set appears again.

[@DerZombie7891]

Mesmerizing!

[@Mr.D.C.]

1:41:00 is pretty cool

[@pol-g2761]

hollywood called, they want their GPU back

[@kennameche8287]

POL-G rude

[@Gltchmastercase]

Freaking love these the scale is amazing

[@SergiyChumakov]

great work, thank you!

[@nuclearzerg]

We Need To Go Deeper

[@Slarti-Bartfast]

One of the first times i took acid i saw these structures all around! Everything was (and still is) fractal. Then some years later, i didnt knew about mandelbrot and his work, i saw a zoom and realized that it was exactly what i saw back than on LSD. I totally snapped about the fact, that my halluzinations wasnt halluzinations at all, i just have been able to see the fractal nature of everything. It totally blew my mind and i watched a documentary (Which is actually pretty good but in german: kzbin.info/www/bejne/g5iQf2tops2UqsU) about all of it, to understand what exactly i saw. I still see it, when im trippin. It always reminds to be part of something much much bigger than my tiny, little ego/personality. Its too sad, that most scientific research on psychedelics is deppressed. It could teach us so much about our place in the universe. And what consciousness truly is.

[@CyberWallX]

Same experience as my own, only that i knew fractal structures before my first trip. I really hope youre right about your explanation (because my first intuition said the same), even though my own research led to the structural celebral way of the human brain to interpret optical input being manipulated by the subconsciounal influence of lsd. But thanks for the link, didnt know arte made a documentary about fractals. i will watch it right know

[@yepiknewit1121]

These videos are awesome

[@julianraphael2102]

Like my Lsd trip! Amazing!!

[@kellywu4061]

Math for the win~

[@tapethegangleader7016]

Kelly Wu math teacher confirmed

[@syre7608]

50:10 1:23:42 you dont need the pills for the experience

[@kingaha3657]

But dmt sure helps :)

[@rozes806]

this is very well done

[@FuckOrFudge]

Incredible.