The Hardest Zoom - Mandelbrot Fractal Zoom
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- Опубликовано: 14 окт 2024
- This video is the hardest zoom ever rendered on this channel. Over a month of rendering on a modern 64-core CPU . The frames near the end of the video took over 2 days each to render. 590 million interations, at a depth of 7e1299. Deep zooms, and high iterations counts are not too hard, unless you attempt both at the same time. Please subscribe.
The video itself is not too dense, the iterations come from the deep minibrot pass at 5e421. For a video that finishes on a mini-Mandelbrot, that is really quite deep for a mini-Mandelbrot pass. (It's only possible to do a pass in the first half of a video, if you are also to finihs on minbrot.).
Thank-you to my supporters on Patreon.
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Location:
Real: -1.9997740601362903593126807559602500475710416233856384007148508574291012335984591928248364190215796259575718318799960175396106897245889581254834492701372949636783094955897931317174101259095891469501748126725148714587333938548443819033709904187344921523413310221887295870857771431011674873342592895504186325482220668710775749899926429101099841583206278295793058921625817004481783699245865364627140554117737774937789463895102748671351750212506004241754983473339789940659968568850689353099462034492524909310777724611601104714214019347435268544619054369865904944457792527241696528695821059623303046651934176389789308453627525109367436309636375268231073110318555064708363221007235298404379856922536028913291478442839193381367508575286692330907891402483843152933153748354825108021776358693600801782904774626935265722056455978643513448489091026679036353407968495795003386248005939867069799946547181378474054113117046900560609110812439442002663909295191705374444149326937073460052706389967886211172676612720028299452788285465688867116337489531157494508508315428488520037968118008255840569742557333862639124341116894229885253643651920014148109308402199399127712572209466874971603743536096235390414412927589954662603878558182262865151900604451937214289079939337905846647369517138325441736853526711818853134657265043099539402286244220638999824999819000131999789999857999958
Imaginary: 0.0000000032900403214794350534969786759266805967852946505878410088326046927853549452991056352681196631150325234171525664335353457621247922992470898021063583060218954321140472066153878996044171428801408137278072521468882260382336298800961530905692393992277070012433445706657829475924367459793505729004118759963065667029896464160298608486277109065108339157276150465318584383757554775431988245033409975361804443001325241206485033571912765723551757793318752425925728969073157628495924710926832527350298951594826689051400340011140584507852761857568007670527511272585460136585523090533629795012272916453744029579624949223464015705500594059847850617137983380334184205468184810116554041390142120676993959768153409797953194054452153167317775439590270326683890021272963306430827680201998682699627962109145863135950941097962048870017412568065614566213639455841624790306469846132055305041523313740204187090956921716703959797752042569621665723251356946610646735381744551743865516477084313729738832141633286400726001116308041460406558452004662264165125100793429491308397667995852591271957435535504083325331161340230101590756539955554407081416407239097101967362512942992702550533040602039494984081681370518238283847808934080198642728761205332894028474812918370467949299531287492728394399650466260849557177609714181271299409118059191938687461000000000000000000000000000000000000
Depth: 7.0E1299
For someone who loves math, science and learning, this video is a metaphor for what it means when you say there is always more, it is all very beautiful. "But you'll never be finished!" some will say. And to that I say, thank God! Isn't it wonderful that such infinite complexity could be generated from finite simplicity (as with the Madelbrot set)? To those who look away from science, wishing to maintain a sense of Mystery about the world I say: you fools! The tools of science don't take the mystery away, they reveal it!
🤩 pretty colors!! 🥺
awesome comment mate
Here we go again!
totally quitting reality
instablaster.
I remember getting obsessed with these videos back like 5 or 6 years ago. Technology has come so far!
I'll never understand this stuff but I understand that it is truly BEAUTIFUL!! Cheers from a 62 year old Kiwi woman. P.S...My 4 year old granddaughter is totally mesmerised by this as well!
I love that optical thing at the final freeze frame where the middle seems to pucker inward. Great stuff.
Obrigada!
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Isso aconteceu realmente!
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É um efeito do Windows que eu usei!
E fiquei pensando se aquilo caberia no contexto!
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Ainda estou pensando se fiz bem ou mal em ter colocado aquele efeito!
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Na verdade eu acho que não deveria ter colocado aquilo.
Foi demais!
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Obrigada pela observação!
Muito importante a sua observação!
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Porque toda vêz que vejo o vídeo;
Aqueles segundos finais me incomodam!
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Obrigada Michelle Eden!
Gostei muito da sua observação!
Vou usar isso no futuro nos próximos vídeos!
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Unexpected zoom locations! The patterns you found are glorious!
I figure the "far west" is a good location to maximalize zoom time, because it's relatively sparse and narrows down the area quickly. You don't see much zoom in the area around -1.401, where the antenna connects to the disk, because there is an increasing exponential density around it and you'd run out of computing power much more quicly. It's interesting to see how the fact that it comes from such a sparse region leaves its mark continuously with these gaps of near void over and over again.
Help! I'm falling in and can't get out. This is so fascinating what is happening here. The math, the illustrating, and illustration. The technology! OH MY!
"The math is really simple"
My brain while the teacher explains the concept:
The 'Burning Ship' and 3D iterations are great, but there is nothing as satisfying as a good old fashioned Deep Zoom! Love your work! Thanks for sharing!
I have seen this before. I have been there. It’s the no beginning or end of everything. Everything is connected from small to large the is no time in that dimension or size all every flowing. It’s mathematically eternal. Thank you for this.
If the width of the image at the beginning of the video was the diameter of the known universe (93 billion light years), after 4.6 minutes of zooming it would be the Planck length (the smallest length used in physics). Now imagine how tiny the last frame is compared to the whole Mandelbrot set.
That's based on the same zoom rate as on the video. I did the math based on the assumption that the video starts at magnification of 1 and ends at 7e1299.
My spiritual journey began the first time I saw the Mandlebrot zoom, ty Mathtown
It's shockingly beautiful. The jams aren't bad either. Your efforts continue to shine, mostly. I'm amazed the demise of net neutrality didn't make the posting of this type video impossible. Oh yeah, RUclips has never streamed more smoothly either. I guess maybe the orange man's not really so bad after all. Remember, you opened this door. Beauty, never benefits from ugly.
10^1299.
Holy mother of Vishnu.
The minibrot at the end is a metaphysical epiphany.
Well done.
*Each frame contains a great wallpaper.*
love!
edit to add i just keep saying oh my god over and over again
All this from z=z^2+c. Pretty remarkable really.
Next time I drop acid I'm watching a Mandelbrot zoom and bawling like a baby
this is now on my list of favorite fractal zoom videos from you. love the music. love the interesting features.
I really love this one too. Such awesome colour layers. Thanks for brightening my day!!! ☯️💟☮️❇️🏵️❄️🌌🎇♻️⚛️☸️♾️🇪🇺➰➿➰🕉️❤️❤️❤️
Is there a way that I can support you without using PayPal or my credit card? Maybe Google pay?
@@ChrisLNL25 your reply earned my like.
@@ChrisLNL25 thank you.
@@ChrisLNL25 also, you can't support me. I don't have a bank account of any sort, because I am just a 15 year old boy.
yo mate, I watched it on shrooms with my music on, It was amazing journey, colours, shapes everything, Thank you brother :)
I always watch these videos while I'm high, I get lost real easily lol
Fractal number 2,003,572.... and still watching em ! :)
Thanks chief
Thanks for sharing this.
When softened the gaze, the circular shapes at the end vibrate and resonate in pleasing frequencies and unique motions, textures, feelings, rythm's, shapes, feels like a pleasant hypnagogic brain light massage. Very satisfying, visually, to perceive it.
1:03:54 Absolutely loved that shot. Awesome hard CPU work 👍
1:21:13 Also great. Thanks for the video, it's just awesome!
Great video. I learned about arbitrary precision mathematics, thanks. As a software developer I sometimes run into this, in graphics you can actually see the errors.
Great work, idk how i ended up watching a bunch of fractal related stuff lmao but it's really beautiful
15:15, 19:50, etc. seem like patterns I haven't seen before. I love the 'featureless' transitions. 9:50 Just about everything disappears but you know there's something down there eventually! Good stuff.
Those types of patterns are what you have at the point in the pattern where you had a mini mandelbrot previously. As you zoom in, the density of features continues to increase, just like on the edge of the set.
The crazy thing here, too, is the scale. At the smallest resolution (if a Plank length, or 1.6 x10^-35 m) the set at the beginning is 10^21 times the size of the known universe!
this goes great with anything Jimi Hendrix made.
This is really your best so far...
Hey, huge fan of your visuals, can I use the first one and a half hour for a techno radio show that I run? Will get credited of course!
These zooms can be described with infinite ordinals I feel. We see narrow filament junction -> julia set spiral -> hiding another small filament -> another small julia-like pattern. These layers nested, as the gap gets progressively smaller, until we reach its limit, an infinite layers surrounding a minibrot.
Zooming into the points on the layer, we see the same sequence, except every step of the previous sequence is substituted with the entire previous sequence. Each step of the previous sequence is nested in ω layers, ω voids and julias progressively narrowing into a rainbow fudge. To get to the next minibrot, we need to nest ω times these ω layers. In total, an ω^2 layers.
This made my eyes water 😵
It's always nice, to be inspired by the deepest depths of the mathematical universe and I always enjoy sitting in front of the big screen and enjoying "drifting".
Keep it up.
Sometimes a question. Can you perhaps render complex power or similar "weird" Madelbrot rides? There are great figures, all of which originate from the apple male, but sometimes appear like "angels" because they show such "strange" shapes. :-)
And the music also fits very well. Since Corona I have mostly only been listening to rave techno chill music because all the talk about Corona is getting on my mind.
This kind of music frees my mind from all the "thought constraints"
I wish you a nice and happy time
Looking good! Thanks for description info. Keep up the great work Adam!!
I get anxious on something it doesn’t zoom in that I want it to zoom.
bro this was te depth of this zoom:
5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
seriously this is the depth
He zoomed in the mandelbrot set so hard he found a disconnected part at the thumbnail.
Listen to music and watch this in fullscreen, and WOW.
I love your videos. How do you find these super-deep mini-Mandelbrots to target?
Conocí este canal gracias a un poco de todo y me encantaron tus videos me hace dormir eso es bueno
Do the endings in these fractal zooms become "compressed" and noisy BECAUSE they end? The fractal is infinite right? Why does it become so packed together?
Phenomenal. Best one I've seen.
Belíssimo! Não sei como você conseguiu, mas sei que mandelbrot júlia é muito dificil mesmo!
Parabéns! Vou praticar Júlia Mandelbrot!
Eu adorei seu vídeo!
Wow! Lots of work put into this.
This appears to be the Nazibrot set.
6:22
2:19 if you squint
All the way to 2:32 but it is more deformed
This is so satisfying, I wanna generate mandelbrot set by myself some time and explore it...
Ops! I made a mistake.😮 Hi Math lovey video ,soon it will be a new year,Happy new year to you ,🎉have a good day.❤
The very hidden structure of the Mandelbrot set
and we are just a tiny fractal right by the black void
What happens at 1:10:22? I was so sure we were going to see infinity leading to a mini-brot 0_o
I wish this video had more views.
Good! you are making wheels to get off your potty training?! keep it up!!!
My 6-core CPU is shaking right now
Wundervolles Werk!
I like this song! 🎉
Jeez, this video came out on my birthday
It is in perfect sync with Pink Floyds Dark Side of the Moon. or Voyage 34..
Eu Adoro Isso!
i always play with speed control,,1.5 works perfect with this buzz. thanx
Thank you
Really nice nice nice
everything is very similar to materialization in the space of a zero determinant, 1/0 = (∞) × 0, where 0-1 = -1 as a zero determinant of zero, like any action with zero, since zero is not a number, and infinity is not a number either , but in any action with zero and infinity is the determinant of it, both the zero determinant and the determinant of the same process (+ ...-) .... x = x = 0 × (∞) ... where (∞) is the process multiplication and zero is a division process in this case ... where 0 (zero) = (/) is a division process and (∞) =) × (this is a multiplication process
I'd love to see a zoom on a mandelbrot variant with a non-integer exponent, say, 1.5 , or even something weird like the root of 2. I think that would come up interesting.
Search my channel for "power of pi" (Tau, psi, 2.5 also done)
@@MathsTown Is it possible to do a zoom with a mandelbrot exponent of I (square root of -1)?
@@SmokeyDope yes, indeed.
God.
Horsehead nebulas everywhere!
I’m already 10 minutes in and I’m still not bored! Jk that’s a lie, but it’s still interesting
Круто!
History was made
8:58 Not enogh iritations
not enough iritations lol.
Not enough that it iritates me
Yooos da best Maths Town
Yip
.... purrr
sometimes when the circles start happening it ends in a minibrot and sometimes it ends in some kind of distortion like at 40:36. o.O also holy shit what is 46:00
The second one is the shadow of a typical Julian set. This is weird how it get filled though.
30:43
46:00 is an embedded julia set, just like a lot of other things in this video. It's surroundings are just so dense that it is hard to see.
Why is it that the frames towards the end take so much longer to render?
Why do I watch stuff like this stoned?
Belíssimo!
Might need some Pink Floyd music with this video, perhaps the entire Dark Side of the Moon album
Are the formations in this location part of the perimeter or just interestingly occouring patterns outside of it?
13:58 cool pattern
اللهم يسر يارب العالمين 👍🌹❤️👍🤗🥰
Please upload a faster version.
Question, I know many probably ask this, but what do you use to make Mandelbrots.
Download the program called Kalles Fraktaler have fun!
Kalles fraktaler
A Mandelbrot, a Womandelbrot, and a little privacy.
FlyingSavannahs heh, nice.
oh。。。if project the zooming mandelbrot set 's video to ceiling at night, it will be very helpful to fall in sleep;
hey, Maths Town how do you zoom so much because I wrote a program but at a point, the float that carries the zoom amount exceeds the min integer limit how to you get passed that?
The software uses GNU's arbitrary precision library. The floating point numbers are huge! This is sped up by a technique called perturbation, so not all pixels need full precision.
youtube was down for an hour.
Yes, for me too
Just for once can we take a shallow cruse around the shores looking for all the deformed mini brotes??? It really bugs the heck out of me, not see n any more new bugs, until the end of some final deep dive!!!!!! Follow a trail of bugs no mater how mutated they tend to get ..... They are so much more interesting... OK GET IT?????
Secret tunnel journey to where.....? 🤔
I seen a video that a person managed to make the deepest zoom in history by starting to the 7th minibrot and what I have seen it's out of rules
How long did this zoom take to render?
Not sure exactly, it was done in stages when I wasn't using the PC for other things. Longer than 1 month of time though.
Had I beem falling?
6:18 r/accidentalswastika
is this a real zoom of the actual mandelbrot set?🤔 I thought the set had a continuous infinit perimeter that surrounded empty spaces, yet you are zooming into empty spaces and finding what seems to be isolated lands of fractals there....or is it that this patches are not really isolated but connected to the biggest lines of the perimeter by little lines that are too little to be seen at this scale? please respond
I believe that everything is interconnected. I think it has been mathematically demonstrated that all mini-brots are connected.
Nice zoom! 3rd power tricorn anytime? (f(z) = conj(z)³+c)
Shame that this video has fallen victim to RUclipss compression algorithm that decides to cut bandwidth to 0 if you can only see color gradients. (at least on resolutions lower than 4K)
How large was the original video file?
50.4GB as an mp4 (h264). Available for download on Patreon.
Silky!
How can an irregular shape like a Mandelbrot generate concentric circles?
They're not really circles. The only true perfect circle in the set is the period 2 bulb. The doubling of features appears rotationally symmetric, but is actually distorted by the hyperbolic feature in the center, which becomes noticeable as you approach it.
I wamt a program that can do this
Would you break down what 7e1299 means for a layman? I bet its deeper than deep.
I think it means that the final image is zoomed in by a factor of 7,000,000,... with 1299 zeroes after the 7.
Sure, like your home camera or phone, might have 7x magnification. This has a magnificaion of 7 with 1299 zeros after it. (In scientific notation 7x10^(1299) ). It describes how much the first image was enlarged. It grows at an exponential scale, when making a smooth zoom, which is why it gets so big.
@@MathsTown Got it. Truly mind bending.
The width of the image gets divided by the magnification. For example if the original image is 3 meters wide, magnification of 100 would be 3/100 meters wide. Magnification of 7e1299 means that the width of the image is the width of the original image divided by 7*10^1299 (a number that is 1299 digits long) which is pretty tiny.
@@jimi02468 Okay, Msets are measured by width. Are there measures for the depth, number of 'layers'? I think of layers when I hear 'deep dive' like fathoms.
HOW THEY HERE AGAIN
Like...what even is this I don’t understand 😩
Math. If Math made its best art piece.
I found the Natzi flag
6:23
also, when was the thumbnail?