11 Dimensions - Mandelbrot Fractal Zoom (4k 60fps)

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  • Опубліковано 28 січ 2025

КОМЕНТАРІ • 706

  • @MathsTown
    @MathsTown  6 років тому +61

    This video has been re-rendered at 8k 60fps!! ua-cam.com/video/X-_LkF9V8AM/v-deo.html It looks smoother even at lower resolutions. It includes a new music selection. And, it also goes a little further, dropping into a mini-Mandelbrot.

    • @MathsTown
      @MathsTown  6 років тому +2

      Hi "Simulation Earth". Yes, you can monetise the creative commons videos. You just need to provide the appropriate credit/links (inc for the music if applicable). If the licence doesn't suit you, or you want to use one of my non CC videos, then you should check out my Patreon page. Basically, you can download and use any video for $3 (but not the audio, as I don't own it). Let me know if you use some of my fractals, because I will add your video to my playlist of creators videos.

    • @destructurateurmoleculaire6095
      @destructurateurmoleculaire6095 6 років тому

      Maths Town this kind of picture is good for our mind power awakening . Thanks and continue

    • @northbaseuk882
      @northbaseuk882 6 років тому

      Lmao my processor doesn't like this haha

    • @IraQNid
      @IraQNid 6 років тому

      What is the highest resolution you can render to?

    • @stephonfrazier5434
      @stephonfrazier5434 6 років тому +1

      I'm not a math person but I came here--and to other Mandelbrot videos--from a philosophy book I'm reading "How The World Can Be The Way It Is" by Steve Hagen. All I have to say about this video is Woooooow. Really cool stuff. Thank you for this.

  • @Raptorman0909
    @Raptorman0909 7 років тому +324

    "Today, a young man on acid realized that all matter is merely energy condensed to a slow vibration. That we are all one consciousness experiencing itself subjectively. There is no such thing as death, life is only a dream and we're the imagination of ourselves" . . . "Here's Tom with the weather"

    • @aphysique
      @aphysique 6 років тому +1

      Raptorman0909 lol...Thank's, Tom has something to ponder now!🤔🙄😯

    • @madxruler
      @madxruler 6 років тому +4

      Classic Bill Hicks!

    • @thedonger6299
      @thedonger6299 6 років тому +6

      but yet we die and then the person u are doesnst exist anymore... :( rip me

    • @jesseggill
      @jesseggill 6 років тому +6

      @@thedonger6299 right alongside you on this depressing ride friend. At least you aren't alone :) try and enjoy what you can, while you can.

    • @Mike-bz5sr
      @Mike-bz5sr 6 років тому +3

      We love you, Bill, brother. Thank you for all the wisdom.

  • @FabledGentleman
    @FabledGentleman 7 років тому +160

    This is one of the most beautiful things i have seen in my entire life.

    • @maryjohammons8905
      @maryjohammons8905 7 років тому +5

      the thumbprint of God!

    • @aphysique
      @aphysique 6 років тому +5

      Because we are it, it is us, in a sense!!!

    • @jimisru
      @jimisru 6 років тому +1

      Watch someone do this in 3d. vimeo.com/juliushorsthuis

    • @ambermargheim5726
      @ambermargheim5726 5 років тому

      @@maryjohammons8905 exactly! !!!!!!
      Also I'm only 0:32:in but this pattern I've never seen and it is amazing

    • @135me
      @135me 6 місяців тому +1

      This is God. A fractal is everywhere, we are in it, God is everywhere, we are in him. A fractal is eternal, God is eternal. A fractal is beautiful, God is beautiful. Fractals are seen In a lot of things in our earth, Like ferns.

  • @waytoohypernova
    @waytoohypernova 4 роки тому +108

    normal people: "woooooooah"
    me: *"but i wanted to go **_that_** way!"*

  • @philipparanthoiene4892
    @philipparanthoiene4892 7 років тому +174

    Possibly the best zoom I have seen in 30 years of observation

    • @deanroddey2881
      @deanroddey2881 6 років тому +9

      It's gorgeous. And the thing is, if he'd gone in at another point at the start, the flavor of the patterns would be have been all different in the details but just as endlessly varied.
      As someone whose brain sort of 'tickles' when looking at rich patterns and textures, really beautifully colored Mandelbrot zooms like this are almost too much to take.
      I used to play around with the set, but this was in the days before hugely powerful GPUs, and each frame at this resolution would have probably taken an hour to render or more. Now you can probably do 15K pixels at once on a fairly reasonable PC with a few CUDA boards in it.

    • @linuseriksson5327
      @linuseriksson5327 6 років тому +2

      that is a very good observation from another observer that agrees to you conclusion.

    • @justinpresley3737
      @justinpresley3737 5 років тому

      Call me MR zoomvastic elastic and static trickling to ears eyes tears mood

    • @Velvet_Drop
      @Velvet_Drop 5 років тому

      Best come(n)t ever.

    • @WvhKerkhof
      @WvhKerkhof 2 роки тому

      I agree.

  • @MCtechh
    @MCtechh 6 років тому +171

    I don't know why but when I think about this deeper, it gets scary for some reason.

    • @ralfrecknagel4760
      @ralfrecknagel4760 6 років тому +4

      MCtech ... watching enlarged Mandelbrot fractals for a while I dont expect any scary figures with crazy C5 symmetry axis or the like, but the face of Mickey Mouse ... and then ... after a while ... a photograph of Walt Disney drawing exactly this Mickey Mouse cartoon

    • @nathalya5882
      @nathalya5882 6 років тому +14

      Infinity thats how it look

    • @MoFloFoSho
      @MoFloFoSho 6 років тому +5

      Scary? I find it amusingly fascinating. Like peering into the void.

    • @hoonaticbloggs5402
      @hoonaticbloggs5402 5 років тому +3

      It’s what happens in the universe, infinitely small yet infinitely large, and proved by mathematics.

    • @edwardc5700
      @edwardc5700 4 роки тому +2

      Hoonatic Bloggs No, Mandelbrot fractals are not infinitely large, and also speaking about the size of the universe, it is being theoretically estimated to be minimally 500 times larger than our observable universe. Yet, the measurement of the curvature of our observable universe is very close to being flat (0 curvature), so it is possible that our universe is infinitely large.

  • @DeluviumOfficial
    @DeluviumOfficial 7 років тому +465

    For people asking if the Mandelbrot set is real or generated, it's real in the same sense that a galaxy is real. You can view a galaxy through a telescope. If you keep zooming in, you are just discovering new characteristics about the Galaxy that were already there. It's not like you are creating that as you zoom. It was already there.

    • @OHYS
      @OHYS 7 років тому +3

      DeluviumOfficial, Thanks for clarifying!

    • @phatcrayonz
      @phatcrayonz 6 років тому +4

      I don’t believe you.

    • @sean_2719
      @sean_2719 5 років тому +14

      @@phatcrayonz why is that

    • @andybeans5790
      @andybeans5790 5 років тому +22

      Only conceptually, if you equate these relatively simple mathematical "rules" to the deterministic nature of our universe. It would be like planting an acorn and saying the adult oak tree exists, because the acorn's DNA holds the pattern or rules required to generate it.

    • @wolfboyft
      @wolfboyft 5 років тому +13

      That's not a great description, because the galaxies et cetera are *literally* real-- they are matter in our universe. All the various and beautiful mathematical objects in our universe are perhaps more like the chunks of Minecraft worlds-- only made when we look for them.

  • @bgrady24
    @bgrady24 6 років тому +63

    Watching this makes me think of the choices we have in life and the endless possibilities. Every time it would randomly zoom on a spot I didn’t expect, it’s like a life story of someone. When I was 30 I had a kid, it zoomed left. What if I married someone else? Zooms left. Took that job out of state? Zooms right...

    • @LuShiratori
      @LuShiratori 5 років тому +1

      Ive had that line of thought many times

  • @existenceispain_geekthesiren
    @existenceispain_geekthesiren 2 роки тому +8

    I have ADHD and need something constantly going on in front of me to go to sleep, which as you can imagine is very difficult to manage. I often need to be watching/listening to a video while playing solitare or something of the sort to get tired, but this combination of math, art, music and brainless while captivating energy is the best sleep inducer I've found yet. Thank you.

  • @gageblackwood8832
    @gageblackwood8832 7 років тому +68

    Mind boggling masterpiece. Thank You. After seeing this how can anybody ever say math is boring?

    • @sueharrison2737
      @sueharrison2737 7 років тому +2

      Gage Blackwood it just taught boring, not teachers fault it's the syllabus and stupid red tape!

    • @NightMourningDove
      @NightMourningDove 7 років тому +1

      Hit the nail on the head there. Hopefully someday the US will give a shit again about education.

    • @larryslemp9698
      @larryslemp9698 6 років тому

      Gage Blackwood.....Yes!! Positively mond boggling!!

  • @MathsTown
    @MathsTown  7 років тому +39

    Hi all!, After several requests, I have decided to re-licence this video under the "Creative Commons Attribution Licence" which should allow you to use this video for all your own projects, and simply provide a credit. (Click the licence link in the video description for more info). Please be sure to comment or message if you do use the video so I can check it out.

  • @Beef_Strokinoff
    @Beef_Strokinoff 7 років тому +231

    I bet at the end of the Mandelbrot Set you'll find Waldo.

    • @bunbunnbunnybun
      @bunbunnbunnybun 6 років тому +1

      Aaayyyy you like pokemon mystery dungeon explorers of sky?

    • @namel6532
      @namel6532 5 років тому +7

      Too bad there is no end...

    • @graciouslump9695
      @graciouslump9695 4 роки тому +3

      there still is an end it just takes a infinite amount of time to get to

    • @deleetiusproductions3497
      @deleetiusproductions3497 4 роки тому +6

      Waldo cannot be found in the Mandelbrot Set. It would take an infinite amount of time.

    • @deleetiusproductions3497
      @deleetiusproductions3497 4 роки тому

      Orion D. Hunter That would also take an infinite amount of time.

  • @MarkusOdds
    @MarkusOdds 7 років тому +100

    After watching this I had intense optical illusions, like everything was moving away from me. Crazy!

    • @gawdfatherr
      @gawdfatherr 7 років тому +2

      Why?

    • @benjaminmillermusic
      @benjaminmillermusic 6 років тому +4

      same here. like a boiling effect u get from those vids where u stare at the center of a moving spiral for a while

    • @HiloYT
      @HiloYT 6 років тому +1

      I got the same effect look up an optical illusion video and you'll see something a lot like this it's just that's probably not going to be as colorful and probably less beautiful

    • @trying2understand870
      @trying2understand870 6 років тому +1

      It's a form of vertigo, or motion sickness, I felt it to...

    • @jordanlogan8036
      @jordanlogan8036 5 років тому +2

      It’s an effect caused by the color receptors in your eyes getting over stimulated and tired

  • @EpicLuigi24
    @EpicLuigi24 7 років тому +11

    This may be my favorite fractal video on UA-cam. The music choice is excellent and the colors are beautiful!

  • @SSCell911
    @SSCell911 7 років тому +17

    Watching this makes me want to cry. It's so beautiful.

  • @a.k.m.3419
    @a.k.m.3419 Місяць тому

    Why do these Mandelbrot sets make me smile all the time?

  • @DrUndies
    @DrUndies 7 років тому +27

    I started playing with fractals back in 1987 I think.
    It was with an MS-DOS programme written for the IBM compatible (nice term) 386 computer ( not sure if it needed a math co-processor) The math coprocessor came built in with the the 486.
    The program named "Fractint" - for Fractals generated by Integer maths. Written as freeware by the Stone Soup Group.
    After 30 years - fractals still amaze me.

    • @MathsTown
      @MathsTown  7 років тому +2

      Wow, my old 486SX used to struggle to play a MP3 file. Although I had a Photoshop plugin that did some fractal rendering with nice results.

    • @donehogua9713
      @donehogua9713 7 років тому +2

      the 486sx didn't have a math coprocessor actuated (that's why it was cheaper) it was actually the same chip as the 486dx, but they burned out the links to the coprocessor

    • @daniel4647
      @daniel4647 6 років тому +3

      So basically what you're saying is that the tech industry has been corrupt at least since 1987. Really wish they'd stop screwing everyone over, we have enough junk on the planet as it is. No need to design light bulbs that only last for 6 months when we know they can do much better, damn criminals.

  • @charliemarley5343
    @charliemarley5343 7 років тому +32

    This is a masterpiece. The music compliments the zoom so well! Explains life in a way. It's art dammit! Haha one love to all

  • @skidooshlayman12
    @skidooshlayman12 7 років тому +14

    "The inner machinations of my mind are an enigma."
    - Patrick Star

  • @MathsTown
    @MathsTown  7 років тому +16

    As requested. This video is now available in reverse! Try zooming out: ua-cam.com/video/HMWaN90EEz0/v-deo.html

  • @LuizBHMG
    @LuizBHMG 7 років тому +257

    10^219 - this is fucking much!!! The size of the observable universe is 9*10^26 meters and the Planck length, 1.6*10^-35 meter. This means that, if you zoom from the universe in, you'll reach the atom, the quarks, the strings and it's not even half way the amount of zoom you see in this video!!! For example, if the Mandelbrot set you see in 0:03 were the universe and you start zooming in, you would reach the strings and Planck constant at about 3:30 and then you simply cannot go further, according to the physics of today. This shows how powerful is our imagination and how far can we go with mathematics…
    Calculating: 10^27/10^-35 = 10^62. From 0:04 to 12:12 - zoom approx. logarithmic, so 728 seconds. 62/219 = 0,2831. So 0,2831*728 = 206 seconds, so from 0:04 to 3:30 you go from the size of the universe to the planck length. And the meter would be reached at about 1:34.

    • @orcinusorca3145
      @orcinusorca3145 7 років тому

      LuizBHMG Would this change if 10^0 (zero reference point) was down at the Planck length? Hope I'm asking this right. 🙂

    • @MathsTown
      @MathsTown  7 років тому +20

      When you explain it like that, it's quite amazing!! The amazing thing is that you can just keep zooming and zooming, there is always more!

    • @timh.6872
      @timh.6872 7 років тому +3

      Maths Town Viva Infinitas!

    • @LuizBHMG
      @LuizBHMG 7 років тому

      +Orcinus Orca - what do you consider being the zero reference point? And what exactly would change? I'm afraid I don't understand what you mean…

    • @LuizBHMG
      @LuizBHMG 7 років тому +2

      +Maths Town - Yeah, that gives us a feeling of infinity, but you still reached 0% of it! ;-) But the William Tell overture may reach some infinities. xD Great choice, love this piece of music!

  • @WvhKerkhof
    @WvhKerkhof 2 роки тому

    This is maybe the best fractal video I have seen, the colors are beautiful and the zoom too. I have seen many video's most are boring but this video has more variaty, maybe the best I have seen.

  • @ralfoide
    @ralfoide 7 років тому +2

    This is such a treat. Beautiful rendering and a nice choice of palette, and a nice place to zoom into. I used to render such zoom anims 20-30 years ago using Fractint and rendering an image in 1hour-1day, yet not even reaching 1/10th of the depth of this zoom.

    • @MathsTown
      @MathsTown  7 років тому

      Thankfully zooming is much faster now due to algorithm breakthroughs (not just computer speed).

    • @ralfoide
      @ralfoide 7 років тому

      My first Mandelbrot anim was in GFA Basic on Atari ST and by todays standards the speed would be beyond pathetic. Then a few years later Fractint broke everything with their bigint assembly stuff (combined with my own git-to-avi generator because I had nothing else back then). A JS routine in Chrome would still just beat it hilariously. What do they do these days, GPU and opencl? I should look up the algorithms used these days, although that Kalles Fraktaler that you dropped in the description sounds like a perfect time sink... Good times.

  • @ayounglivelysoulinanoldtir3512
    @ayounglivelysoulinanoldtir3512 6 років тому +2

    that was absolutely beautiful, the colours & paterns where superb. a wonderful demonstration of the infinite beauty of fractuals!

  • @davidwright8432
    @davidwright8432 7 років тому +1

    Stunning. High quality visuals, high quality audio - and music! Also congrats on the color palette. Everything from in-yer-face, to subtle!
    Many thanks!

    • @MathsTown
      @MathsTown  7 років тому

      Thank-you for the very kind message. I'm glad that you enjoyed it!

  • @PurpleCrumbs
    @PurpleCrumbs 7 років тому +9

    Love these!

  • @jacobgarcia7918
    @jacobgarcia7918 4 роки тому

    These videos take up my time. Once they start, it is a challenge to avert my eyes. So addicting.

  • @donnakeith502
    @donnakeith502 Рік тому

    Gorgeous. The absolute best. Color and design ever

  • @ivancanak4470
    @ivancanak4470 3 роки тому +1

    It melted my brain after a few minutes. My vision was all distorted for about 30 seconds..

  • @Squonka
    @Squonka 7 років тому +11

    Me at 11pm: one more video
    Me at 3 am: This beauty

  • @fCauneau
    @fCauneau 6 років тому

    And all this is a conform transformation of the disk !!
    Surely the best footage of the Mandelbrot set I've ever seen !!

  • @emilywhalen5731
    @emilywhalen5731 7 років тому +16

    Took me a second to realize that at the end, when it stopped, it was actually a still frame instead of morphing around.

    • @ambermargheim5726
      @ambermargheim5726 5 років тому

      Same!
      1:24
      I think I'm gonna cry beautiful doesn't begin to explain this. Try looking into each spiral
      Try to see each color

  • @Gltchmastercase
    @Gltchmastercase 2 роки тому

    This one is dope it makes me think in nature the colors would do more of an accelerated cloud dance with each other maybe even have feelings

  • @rowangreymantle
    @rowangreymantle 4 роки тому +1

    Beautifully mesmerizing! Thanks!

  • @bilrogar
    @bilrogar 4 роки тому +2

    Me and a friend used to get high and we would watch stuff like this. Best time ever.

  • @GwennDana
    @GwennDana 6 років тому +1

    Very nicely done zoom.

  • @johannesbusch8161
    @johannesbusch8161 6 років тому

    Overwhelming! Wilhelm Tell ouverture fits! Thank You for sharing!

  • @danielernst6816
    @danielernst6816 7 років тому

    Whoa that was freaky, stared at this for a couple of minutes, then stared into my room and the movement of the video was applied to my center vision. Tripppppppppyyyyyyyyyy

  • @noelleweyeneth3987
    @noelleweyeneth3987 4 роки тому +1

    Magnifique. ça semble ne jamais vouloir s'arrêter et quand enfin ça s'arrête j'ai eu peur que ça reparte dans l'autre sens...

  • @NovaGonnaGiveYouUp
    @NovaGonnaGiveYouUp 7 років тому +33

    I noticed the video was playing at 720p
    I went fullscreen and switched it to 4k 60fps just for kicks.
    It took some time to buffer but when the switch happened it was like jumping from banging rocks together to understanding string theory and i physically jumped back in my chair.
    Made the switch at 4:08
    The trumpets didn't help

  • @TS-bb1pv
    @TS-bb1pv 2 роки тому

    #フラクタルズーム、#楽曲の演奏速度最高です、#臨場感、#映像と音の同期効果、
    【11 次元、マンデルブロ フラクタルズーム(4K 60fps)】
    フラクタルズームノンストップ映像と音の同期が素晴らしく感動しました😍👍、
    アップロードに感謝申し上げます🙌🏼👍、 JST、16:49

  • @thisisachannel8472
    @thisisachannel8472 2 роки тому +1

    A legend was born.

  • @SupraSmart68
    @SupraSmart68 7 років тому

    Very trippy. After watching the whole video everything you look at moves away from you for several minutes, just like in real life when everyone I talk to walks away from me!

  • @AGR01
    @AGR01 4 роки тому +1

    A legend was born...

  • @mateusmachadofotografia8554
    @mateusmachadofotografia8554 7 років тому +56

    amazing rendering !!! nice job!!! I love the quality of the rendering
    after 9 years navigationg mandelbrot i think a found a way to fing more and more different complexity and avoid to much spiriling, here is one of these paths. It would be great if you like it and render it. My pc can't render this much
    (fraktaler parameters)
    REAL : -0.0455437343361049229977535739533629879525495302929779652662921127974595897922310335783873243419284650861538933601078214819135553724837706322200888596153672678222
    IMG : -0.98663900889419886451505862090981816382007921463297079573695975720896019612526843582192105718440593563914049182936636586896719369685303055015634464874013768590825
    ZOOM : 7.44282853678E137
    MIN : 69336
    MAX : 139901

    • @MathsTown
      @MathsTown  7 років тому +14

      Thanks for the comment. I'll try and render it soon.

    • @MathsTown
      @MathsTown  7 років тому +15

      Done. A great location! If you have any more suggestions, then please let me know, and I will render them. Video here: ua-cam.com/video/7ayvIoqpfmY/v-deo.html

    • @MyOwnVeryOne
      @MyOwnVeryOne 7 років тому +1

      Maths Town

    • @jamesdashper1316
      @jamesdashper1316 5 років тому

      could be bothered to write all those digits but imaginary was just too much eh

  • @bingo1232
    @bingo1232 6 років тому

    Like death, we are always falling into the creativeness and wonder of the fractal(s), cognitive centering abode of understanding's mind. Thanks.

  • @Kellymightbedancing
    @Kellymightbedancing 7 років тому +1

    Coolest part of the Mandelbrot I’ve ever seen 2:38-2:42

  • @amogus5902
    @amogus5902 Місяць тому

    the mandelbrot set is absolutely wild, and a little overwhelming. you could zoom in forever, and still have an infinite amount of numbers to zoom in on. and then even after all that, you will have explored only 0% of the mandelbrot set

  • @sacrebleuwhataworld
    @sacrebleuwhataworld 7 років тому

    Wow! Enjoyed watching & listening. Added this to my Classical music playlist. Bravo! :D

  • @joefitz_71
    @joefitz_71 7 років тому

    Simply fantastic

  • @marcelineingot9359
    @marcelineingot9359 5 років тому

    Paired this up with Arvo Part fratres for the first nine minutes and fifty four seconds. Beautiful

  • @tamster2k
    @tamster2k 3 роки тому

    This is beautiful.

  • @honestmicky
    @honestmicky 6 років тому

    Excellent video, thanks for taking the time and effort to post it, much appreciated. Have a nice and peaceful day : )

    • @MathsTown
      @MathsTown  6 років тому

      Thanks for the message. You too..

  • @guynouri
    @guynouri 3 роки тому

    One of the best

  • @k.ommander
    @k.ommander 4 роки тому

    Thanks for the coordinates

  • @Astlaus
    @Astlaus 7 років тому +1

    Wow, that was breathtaking!

  • @otterwoman2
    @otterwoman2 4 роки тому

    I LOVE THIS. PERFECT MUSIC❤️ Very Well Done🙀

  • @RadicalCaveman
    @RadicalCaveman 5 років тому

    Just 2 beautiful dimensions... no need for the other 9.

  • @furryfizz1838
    @furryfizz1838 7 років тому +14

    i dont really like math but........this is crazy

  • @larryslemp9698
    @larryslemp9698 6 років тому

    What this must be......is beyond me!! Astounding!! Can something such as this be attributed to one person, and if so who?

    • @MathsTown
      @MathsTown  6 років тому

      I'm glad you enjoyed it! No it can't really be attributed to only one person, but it's named after Mandelbrot who was the first person to use a computer to create it. It's a mathematical object that has always existed and always will, it just took us time to discover it. But, there are some programmers who have done some amazing work, so deep zooms like this can be calculated in under 24 hours.

  • @nikkinicole4990
    @nikkinicole4990 4 роки тому

    It’s interesting how all the shapes are familiar, there is extreme resemblance to a tentacle, leaves, honeycombs and more in this video.

  • @thegypsy1968
    @thegypsy1968 5 років тому

    Bravo!!!!!!! Applause!!!!!! Pure Genius!!!!

  • @alextoday_
    @alextoday_ 4 роки тому +1

    I really liked it

  • @nathalya5882
    @nathalya5882 6 років тому

    Music, Math , universe.....😵like a flower blooming...

  • @harrywisden5251
    @harrywisden5251 6 років тому

    Stare at the centre on full screen for a while, then pause the video, it should look like the screen is zooming out slightly

  • @ChaosTheSalamander
    @ChaosTheSalamander 7 років тому +1

    A weirdly accurate representation of what it feels like to be in a diabetic coma. Jarring, sickening, and dizzying, but at least you’re seeing the edge of infinity

  • @user-rq1nw3wc5o
    @user-rq1nw3wc5o 3 місяці тому

    I just had an existential crisis but a good one and it was really needed. I am calm and at peace now knowing we are just a small part to much bigger machine, called God. ❤

  • @OneOfManyOfOne
    @OneOfManyOfOne 7 років тому +1

    Beautiful!!!

  • @corsaircaruso471
    @corsaircaruso471 4 місяці тому

    This was absolutely the right choice this evening. Get elevated with Rossini.

  • @plaguey2022
    @plaguey2022 6 років тому +3

    This is trippy

  • @hectorhernandez215
    @hectorhernandez215 3 роки тому

    From a single ecuation.....awesome.....

  • @JackBXD
    @JackBXD 7 років тому

    The beauty of maths...

  • @diminddl
    @diminddl 7 років тому

    after watching this everything in the center of my view started zooming in.

  • @kathleensutherland6593
    @kathleensutherland6593 7 років тому +1

    Super pretty!

  • @solypsist3280
    @solypsist3280 6 років тому +5

    It is really beautiful, I love the structure it follows and the colors, but it could have kept going for a lot before it returned to the prime iteration! There are lots of animations on UA-cam, all different, and all at some point end up with the iteration of the first image of the fractal itself, from which you could start again. Too bad it didn't get to that point, but that's because this structure evolves very slowly. I don't know if you got the logic of my comment, if you don't go see more videos..

    • @MathsTown
      @MathsTown  6 років тому +2

      Actually, Ive just re rendered this video in 8k, and it finishes on the final mini-brot. It will be the next video released. All our other videos finish on a minibrot.

  • @insulini
    @insulini 3 роки тому +1

    May I use this for my new music video?
    It's an indie-pop-electro-something stuff.

  • @Ender1337otron
    @Ender1337otron 7 років тому +41

    How are the colors determined?

    • @MathsTown
      @MathsTown  7 років тому +41

      Each point is either inside or outside the Mandelbrot set. Points inside the Mandelbrot set are simply coloured black. Points outside the Mandelbrot set are indexed according to how many iterations it takes the software to detect that a point is in fact outside the Mandelbrot set. These values are smoothed to avoid banding. The index value is then used to do a table lookup on a colour table. As you will notice these table values are generally repeated as the iterations get higher. In this case, Dinkydau provided the sample file to KF gallery, I did not change is colour choices. I hope that answers your question.

    • @Ender1337otron
      @Ender1337otron 7 років тому +8

      Yes, thank you. I was curious if there was a methodology to it regarding the actual mathematics or computing, or if it was simply artistic license being used. So I guess however the color table is set up determines which colors are available and it would change them, but not how they are arranged or how they repeat right?

    • @MathsTown
      @MathsTown  7 років тому +27

      That's exactly correct. The colour scheme can be changed. The Mandelbrot Set is an infinitely detailed mathematical object, so the layout of the shapes does not change. The same film could be generated with a different colour scheme by using the coordinates listed above. The Mandelbrot Set is a simple formula, that is quite easy to render with simple computer code. However, it gets very computationally expensive to zoom deep like this film, so the software has some quite complex optimisations. I hope to make some videos explaining it in detail in the future.

    • @Ender1337otron
      @Ender1337otron 7 років тому +14

      That's pretty badass.

    • @larryslemp9698
      @larryslemp9698 6 років тому +2

      Yes, would love to see 'that' video!!

  • @chrismason947
    @chrismason947 6 років тому +2

    This is the most ocular exercise I gotten since my last LSD flashback.

  • @oldkidsjonge
    @oldkidsjonge 7 років тому +2

    If you want to watch 4k, but your computer/internet is too slow, you can always set the speed to 0.5x or 0.25x and it will give your computer more time to display the video without stutter. It's not like there isn't enough to look at anyway ;)

  • @HiloYT
    @HiloYT 6 років тому +3

    If you stare at the center for like a minute your real start hallucinating

  • @cheapthrilll6323
    @cheapthrilll6323 6 років тому

    Thank you.

  • @dieguillo93
    @dieguillo93 2 місяці тому

    Is interesting that when we imagine the infinite usually we picture it as endless space without boundries. But here you can see how the infinite is able to create borders by making boundries without losing its infinite properties.

  • @paolamatissa
    @paolamatissa 6 років тому

    This Is beautiful

  • @KallesFraktaler
    @KallesFraktaler 8 років тому +9

    Lovely 👍

  • @guillaumecharrier7269
    @guillaumecharrier7269 Рік тому

    6:34 - I think I will do a screenshot of this, then a poster print, then hang it somewhere in my home. Just: wow.

  • @mitchbogart8094
    @mitchbogart8094 7 років тому

    LuizBHMG puts it well. "Only" 62 orders of magnitude for size in the known universe. The amount of iterations to compute screenfuls at high zoom is quite high. Fortunately, compute power has also grown exponentially is speed and thrift. My question is this - What kind of mind does Mandelbrot himself have to have realized that a simple 12 character equation (okay with complex numbers) has such readily accessible infinite complexity!
    Also, my good friends, to see how "merely" 46 such zooms span the familiar known universe, look up the classic "Powers of 10" by Earnes in UA-cam. Always enjoyable!

  • @Jadiangbiitjyal
    @Jadiangbiitjyal Місяць тому +2

    0:58 is the thumbnail

  • @intraterrestrial5035
    @intraterrestrial5035 7 років тому

    watch on fullscreen then pause in the middle and look around, its like everything is zooming in

  • @rogue
    @rogue 6 років тому

    Is it possible to know, if you had the final frame big enough to see on paper, how big the piece of paper would have to be to contain everything from the first frame?

  • @waltcoff9672
    @waltcoff9672 6 років тому

    Wow! Love it

  • @kcnh111
    @kcnh111 7 років тому

    gorgeous

  • @InfIagranti
    @InfIagranti 7 років тому

    Mandelbrot is just a genius!

  • @falsehero2001
    @falsehero2001 3 роки тому +2

    This is evocative of a religious experience.

  • @uberghost
    @uberghost 9 місяців тому

    i was watching this on my phone on acid and through squinting i was able to see my phone twice with different pictures and the coliding pictures were great

  • @bodhidharma9363
    @bodhidharma9363 2 роки тому

    I was in grad school when Mandelbrot's book Fractal Geometry of Nature first came out, the graphics shown here were unimaginable back then, Mandelbrot actually printed some of his plots using ascii graphics, if anyone even knows what that is anymore.

  • @azraelle6232
    @azraelle6232 6 років тому

    Watch the video in fullscreen, keeping your eyes fixed on the center of the screen the entire time. When it's done, look at your hand.

  • @ravanabrahmarakshas4263
    @ravanabrahmarakshas4263 6 років тому

    majestic

  • @nomadrat
    @nomadrat 2 роки тому

    Hypnotic.

  • @LukaszSkyWalker
    @LukaszSkyWalker 6 років тому

    Thx!!

  • @AristidesTavaresdosSantos
    @AristidesTavaresdosSantos 6 років тому

    MEDITATION OR CONCENTRATION?
    SURFING IN FRACTALS
    The generated images are static and in 2D, however, if you focus on a central point of the screen, and the fractal evolution coincides with that point, it will give a "tube" effect, it is the image, which was previously static and in 2D , it becomes dynamic and 3D. It's incredible, a real surf in the fractals. Have a good time.