Mandelbrot set appreciation thread

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Mandelbrot set appreciation thread Anonymous Wed May 15 15:54:07 2019 No.10646178 [Reply] [Original]

Whether you like math or not, you must concede that the Mandelbrot set is pretty cool. Despite being calculated from a very simple formula, it's literally infinite and endless. Even after countless zooming videos are posted on youtube every day, the total amount of set explored will always be 0%.
The set was never invented, it was discovered. It always existed, but we can only see it now thanks to computers, and despite being known and studied since the 80s, there are still some mysteries surrounding it. For example it is known that the set is connected, and it is conjectured that the set is locally connected, but this has never been proven.
Famous science fiction writer Arthur C. Clarke was fascinated by it and even made a documentary about it and fractals in general, going as far as adding a reference to the set in it's novel "The Ghost from the Grand Banks".

Feel free to post images and facts about this wonderful set of complex numbers.

>>	Anonymous Wed May 15 16:05:54 2019 No.10646197 where did the set exist before computers started looking at it? was it floating out in space somewhere?

>>	Anonymous Wed May 15 16:13:59 2019 No.10646215 >>10646197 >where did the set exist before computers started looking at it? it existed ...... IN THE FUTURE!! Is this proof Mandelbrot set transcends time and space? Unknown to the worlds top scientists, but we have yet to disprove it

>>	Anonymous Wed May 15 16:15:08 2019 No.10646217 >>10646215 pretty sure the future is made up of things that don't exist yet.

>>	Anonymous Wed May 15 16:49:57 2019 No.10646291 >>10646197 The ontological question of "what is math?" >was it floating out in space somewhere? no.

>>	Anonymous Thu May 16 00:05:45 2019 No.10647333 File: 409 KB, 800x600, Juliasetsdkland1.jpg [View same] [iqdb] [saucenao] [google] Apart from the classic Mandelbrot set there are all sorts of even less explored but just as pretty variations like Julia sets.

>>	Anonymous Thu May 16 00:08:33 2019 No.10647338 >>10646291 B...but godel thought mathematical objects are exactly like that

>>	Anonymous Thu May 16 02:26:02 2019 No.10647546 >>10646178 There's no evidence it exists. Algorithmically generated pictures are not Mandelbrot set.

>>	Anonymous Thu May 16 02:29:22 2019 No.10647550 >>10647546 there's no evidence you exist either, except for a fucking post on a screen which could me made up. and you know what? i'd rather the mandelbrot set exist than you. go fuck yourself.

>>	Anonymous Thu May 16 02:51:51 2019 No.10647579 >>10646197 It existed as information in the akashic archive.

>>	Anonymous Thu May 16 05:29:49 2019 No.10647777 >>10647546 but anon you can run the same formula in your favorite programming language and zoom in to verify they produce the same pictures at the same regions

>>	Anonymous Thu May 16 09:55:40 2019 No.10648176 >>10647546 >no evidence it exists Imagine being this retarded.

>>	Anonymous Thu May 16 10:44:12 2019 No.10648292 >>10647546 Brograms as broofs :-D

>>	Anonymous Thu May 16 13:07:40 2019 No.10648603 File: 3.92 MB, 565x575, Mandelbrot-set.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Thu May 16 15:01:45 2019 No.10648824 File: 178 KB, 1080x2000, mandel-random-vert.png [View same] [iqdb] [saucenao] [google]

Anonymous Thu May 16 15:45:02 2019 No.10648912

>>10647546
Well a way to see it for yourself is to download a computer program that generates pictures of the Mandelbrot set, you'll see not only that it generates such pictures, but that the diversity in such pictures is almost infinite, one can zoom as much as one wants, one can change parameters of the dimensions that the image does not show, and slowly the image will morf, will become something else, always continuously so, and giving you always a sense of fracticality, so sure they might be generated pictures but they do so in such a way that represents something with the traits of a mandelbrot set, though I imagine that with enough analysis you might conclude that it represents very accurately the mandelbrot set. But sure there's no indication that the mandelbrot exists in the same way (or say a very similar way) as an algorithmatically generated picture exists (assuming that one can reasonably speak about existence in terms of a similarity distance)

>>	Anonymous Thu May 16 15:46:09 2019 No.10648914 >>10648912 morph*

>>	Anonymous Thu May 16 16:00:18 2019 No.10648946 >>10647777 And? I can watch anime on a computer, it doesn't mean 2D girls exist.

>>	Anonymous Thu May 16 16:27:49 2019 No.10649022 >>10648946 >>10647546 Some numbers are proven to be in the set, regardless of the number of iterations.

>>	Anonymous Thu May 16 16:33:56 2019 No.10649039 >>10647550 shut up dumb baby

>>	Anonymous Thu May 16 20:55:17 2019 No.10649793 File: 2.32 MB, 220x176, 220px-JSr07885.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Fri May 17 03:26:14 2019 No.10650697 File: 385 KB, 1536x960, 1557332754741.jpg [View same] [iqdb] [saucenao] [google] Fap thread

>>	Anonymous Fri May 17 07:15:38 2019 No.10651030 File: 1.25 MB, 2560x1920, Mandelbrot_Set.jpg [View same] [iqdb] [saucenao] [google] >>10646178 The surface area of the Mandelbrot set is unknown but it's fairly small.

Anonymous Fri May 17 07:52:55 2019 No.10651072

>>10646178
What the hell is the application of the set anyway? What can you do with it? Not trolling, just curious. I remember "inventing" Cantor's Dust ages ago, but all I learned was that dimensional gradation is continuous. We have calculus for that.

>>	Anonymous Fri May 17 16:21:08 2019 No.10652208 >>10651072 Math doesn't need an application.

>>	Anonymous Fri May 17 21:41:45 2019 No.10653011 >>10652208 >formal scientist Oh. I see. Very lovely shapes they are. Never mind then.

>>	Anonymous Sat May 18 06:28:55 2019 No.10653804 >>10652208 >>10653011 To be more precise, as with most things in abstract math, there may be an application but we just don't know what it is yet.

Anonymous Sat May 18 10:24:38 2019 No.10654091
File: 3.30 MB, 1916x993, fract5.png [View same] [iqdb] [saucenao] [google]

>>10646178
In the early 90s when fractals & chaotic recursion first became calculable to interesting levels of detail by hobbyists, I collected and read books on the subject, but was frustrated by the lack of software, but around 2013 became obsessed with it when hardware and software got good enough to render 3D fractals. Now it's at the point where long 4K 3D animations, rendered within a reasonably short time, are feasible on budget of about 2K USD, so I'm about to pull the trigger on some hardware dedicated mostly to the purpose. Yet I still enjoy firing up the light & simple XAOS program to zoom around and make aesthetic finds, while wondering what the post-WWII abstract expressionists would make of all this, if the different streams of time could meet other than in the imagination.

>>	Anonymous Sat May 18 10:27:28 2019 No.10654095 >>10646217 pretty sure you are wrong

>>	Anonymous Sat May 18 10:29:23 2019 No.10654098 File: 3.66 MB, 1916x1033, fract6.png [View same] [iqdb] [saucenao] [google] >>10654091

>>	Anonymous Sat May 18 10:31:21 2019 No.10654103 >>10646178 Is this our universes picture of the multiverse?

>>	Anonymous Sat May 18 10:42:14 2019 No.10654118 >>10651072 For one, it and its related formulas are used in statistical studies and simulations of phenomena that exhibit chaotic behavior, in everything from the design of wireless devices to morphogenesis in multicellular organisms.

>>	Anonymous Sat May 18 10:45:10 2019 No.10654125 >>10653804 This, of course. Were nature without regularity, science would be impossible, but if it were without surprise it wouldn't be necessary.

>>	Anonymous Sat May 18 12:56:06 2019 No.10654337 pseud

>>	Anonymous Sat May 18 15:30:54 2019 No.10654736 File: 1.04 MB, 2000x1600, 040903205400.jpg [View same] [iqdb] [saucenao] [google]

>>	positivanon Sat May 18 18:38:27 2019 No.10655118 i want some silk mandlebrot inspired paisley shirts with trippy colors for the 2020 Dr. Thompson collection

>>	Anonymous Sat May 18 19:17:42 2019 No.10655194 >>10654095 then you have a uselessly broad notion of existence

>>	Anonymous Sat May 18 20:15:56 2019 No.10655313 >>10651072 This can be used to "create" true rand operators. You are looking at the basis of a "soul". If you can tap into the mathematical workings of this and apply it to encryption or artificial intelligence it could yield unprecedented results.

>>	Anonymous Sat May 18 20:22:42 2019 No.10655324 >>10655313 >true rand operators Literally no such thing. Nothing is random. It's all coincidence.

>>	Anonymous Sat May 18 20:32:40 2019 No.10655331 >>10655324 So, you think freedom is an illusion?

>>	Anonymous Sat May 18 20:35:37 2019 No.10655336 >>10655331 Obviously. So what?

>>	Anonymous Sat May 18 20:41:51 2019 No.10655347 File: 1.89 MB, 400x224, lol.gif [View same] [iqdb] [saucenao] [google] >>10655336 I'll remember you.

>>	Anonymous Sun May 19 03:54:35 2019 No.10656077 >>10655347 This is a mandelbulb thread now https://www.youtube.com/watch?v=TTpbP5BVtiA https://www.youtube.com/watch?v=cPbKP2ep05k

>>	Anonymous Sun May 19 04:06:46 2019 No.10656089 File: 3 KB, 156x163, link.jpg [View same] [iqdb] [saucenao] [google] >>10646197 in the realm of forms why hasnt anyone said this yet i thought people who like mathematics were all platonists

Anonymous Sun May 19 08:40:40 2019 No.10656453

>>10654118
Suppose I'll grant that. I don't see why a large statistical chunk of Brownian motion/noise would not serve just as well. Then again, I may be wrong.
>>10655313
Again, that sounds all well and good. But if I were to peg the problems of those applications to something, it wouldn't be "we're limited to using pseudo-random operators". But that's just my view.

>>	Anonymous Sun May 19 12:02:28 2019 No.10656746 >>10656089 where does the realm of forms exist? is it floating out in space somewhere?

>>	Anonymous Sun May 19 16:10:10 2019 No.10657216 File: 1004 KB, 1440x1024, scribbles-1.png [View same] [iqdb] [saucenao] [google]

Anonymous Sun May 19 16:15:12 2019 No.10657229
File: 283 KB, 1032x774, hyperbolic_tiling_by_dinkydauset_db0s001-pre.jpg [View same] [iqdb] [saucenao] [google]

This is also in the mandelbrot set. Someone figured out how to get hyperbolic tilings in it.

Bigger: https://www.deviantart.com/dinkydauset/art/Hyperbolic-Tiling-666434305

>>	Anonymous Sun May 19 16:32:06 2019 No.10657275 File: 3.40 MB, 3840x2160, necros 002411~.jpg [View same] [iqdb] [saucenao] [google] Have to reduce to 4K here

>>	Anonymous Sun May 19 16:48:11 2019 No.10657343 File: 2.77 MB, 3840x2160, beth 1522 000411.jpg [View same] [iqdb] [saucenao] [google] >>10657275

>>	Anonymous Sun May 19 17:02:48 2019 No.10657399 there was a dude what made a game where you race on the surface of an mutating 3d fractal, anyone know it?

>>	Anonymous Sun May 19 17:05:33 2019 No.10657411 File: 3.21 MB, 3765x1507, aex torus pow 025912.jpg [View same] [iqdb] [saucenao] [google] >>10657343

>>	Anonymous Sun May 19 17:06:01 2019 No.10657412 >>10648912 >Well a way to see it for yourself is to download a computer program that generates pictures of the Mandelbrot set Any recommendations?

>>	Anonymous Sun May 19 17:08:38 2019 No.10657419 File: 42 KB, 420x460, gptr,x1900,front,black-c,430,430,420,460-bg,f8f8f8.jpg [View same] [iqdb] [saucenao] [google] >>10651072 >What the hell is the application of the set anyway? Can be used to make fairly nifty t-shirts.

Anonymous Sun May 19 17:26:46 2019 No.10657469

>>10657412
For 3D there is Mandelbulber and MB3D, and for 2D there is ChaosPro, XAOS, and a commercial one called Ultra Fractal or some such thing. Some have dedicated download sites and others are to be found on SourceForge, which has tons of other freeware goodies.

>>	Anonymous Sun May 19 17:35:13 2019 No.10657487 File: 1.91 MB, 3840x2160, aex torus pow 002011.jpg [View same] [iqdb] [saucenao] [google] >>10657411

>>	Anonymous Sun May 19 17:42:15 2019 No.10657508 File: 3.60 MB, 3840x2160, Abominog-Ua - 12.06.2014 0007 44711.jpg [View same] [iqdb] [saucenao] [google] >>10657487

>>	Anonymous Sun May 19 17:55:38 2019 No.10657536 File: 1.57 MB, 3840x2160, Abominog-Ua - 12.06.2014 0007 64111~.jpg [View same] [iqdb] [saucenao] [google] >>10657508

>>	Anonymous Sun May 19 18:11:42 2019 No.10657568 >>10657399 Vine sauce streamed it recently. Forgot the name.

>>	Anonymous Sun May 19 18:33:04 2019 No.10657621 One of the better NOVA episodes https://www.youtube.com/watch?v=HvXbQb57lsE

>>	Anonymous Mon May 20 04:09:47 2019 No.10658505 >>10656746 i dont know im not a platonist its talked about like its 'higher' in some sense probably not 'floating out in space somewhere like a 4th dimension i guess

>>	Anonymous Mon May 20 10:30:44 2019 No.10658913 File: 297 KB, 1264x632, trees_revisited____revisited_by_dinkydauset_dcxdhtf-pre.jpg [View same] [iqdb] [saucenao] [google] >>10657229

>>	Anonymous Mon May 20 11:11:58 2019 No.10658985 File: 85 KB, 801x639, mapwareas.jpg [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 20 11:14:32 2019 No.10658990 File: 84 KB, 609x738, julia_mandel.gif [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 20 11:49:09 2019 No.10659045 >>10658990 I'm confused. Are some of those sets actually located in the sections that seem completely black?

>>	Anonymous Mon May 20 11:55:01 2019 No.10659059 File: 417 KB, 1856x1600, bc7vL.jpg [View same] [iqdb] [saucenao] [google] >>10659045 The M set is a map of connected julia sets.

>>	Anonymous Mon May 20 12:03:07 2019 No.10659079 File: 1.13 MB, 1268x756, 1.png [View same] [iqdb] [saucenao] [google]

>>	Anonymous Mon May 20 12:03:55 2019 No.10659082 fractal zooms honestly spook the fuck out of me. the longer it goes on and the the border region is still just as complex and weird, the more i get uncomfortable

>>	Anonymous Mon May 20 12:06:44 2019 No.10659087 >>10658990 Huh

Anonymous Mon May 20 12:19:30 2019 No.10659108
File: 18 KB, 236x229, this thing.png [View same] [iqdb] [saucenao] [google]

>>10659059
I'm sorry, but I don't know if that answers my question. I'm asking if I could start at the top of the Mandelbrot set, zoom in on one of the areas that looks completely black, like the section where the red dot is in my image, and find the Julia set that they're indicating is there.

In other words, are some of these sets completely surrounded by the 0 value or whatever it is called?

Anonymous Mon May 20 12:56:04 2019 No.10659190

>>10659108
Yes and no. Yes, with a point inside the M set you can generate that Julia set. No, you don't find it "zooming in".

Actually you don't find any connected Julia set in the boundary of the M set, the ones you find are always Cantor spaces (not connected).

>>	Anonymous Mon May 20 13:13:25 2019 No.10659237 File: 1.14 MB, 800x600, canvas.png [View same] [iqdb] [saucenao] [google] >>10659190 Thanks.

>>	Anonymous Mon May 20 15:10:04 2019 No.10659539 >>10657399 marble marcher

>>	Anonymous Mon May 20 15:19:43 2019 No.10659554 >>10646178 What the fucking hell tell me that's not part of Mandelbrot. Where the even fuck is that?

>>	Anonymous Mon May 20 15:39:23 2019 No.10659588 >>10657229 >hyperbolic tilings God yes, thank you. This is the first non-unnerving thing I've ever experienced in relation to this set.

>>	Anonymous Mon May 20 15:40:29 2019 No.10659590 >>10646178 >The set was never invented, it was discovered. thanks for describing the field of 'mathematics' dipshit

Anonymous Mon May 20 23:38:55 2019 No.10660576

>>10659082
I find ones with restricted palettes and lowered detail comfy or exhilarating--depending on all sorts of other factors.
https://www.youtube.com/watch?v=5wRz04Dj0QI

But when a 2D zoom is given 3D shading to make it look like a flat surface rather than a structure suspended in space, it takes too much of the spookiness out for my taste.
https://www.youtube.com/watch?v=8cgp2WNNKmQ
This Maths Town guy, by the way, needs to give it a rest.

>>	Anonymous Tue May 21 07:40:41 2019 No.10661150 >>10658985 me on the top left

>>	Anonymous Tue May 21 11:18:52 2019 No.10661422 File: 34 KB, 498x389, 1558423072140.jpg [View same] [iqdb] [saucenao] [google] I took the Mandelbrot pill and there's no coming back.

>>	Anonymous Tue May 21 16:35:28 2019 No.10662024 >>10659539 nice game

>>	Anonymous Tue May 21 19:48:51 2019 No.10662413 File: 25 KB, 500x203, pot.png [View same] [iqdb] [saucenao] [google] >>10646197 >>10646215 >>10646217 potential becoming - stillness strumming

Anonymous Tue May 21 20:10:50 2019 No.10662440

>>10656746
>where does the realm of forms exist?
It's non_specific. If it is manifested then it "has form". Form is not specific and neither is its location.

>>10652208
Math quantifies things. It needs to be applied to actual thing in order to quantify it, obviously so. Math does not make the "thing" exist though.

>>10656089
Most mathematicians don't even know what Platonism is.

>>10655313
>You are looking at the basis of a "soul". If you can tap into the mathematical workings of this and apply it to encryption or artificial intelligence it could yield unprecedented results.

Math cannot and will never apply to "soul" or the essence of anything. It will tell you how many apples there are, but never what an apple is.

>>10657229
Google "Poincare disk model".

>>	Anonymous Tue May 21 20:51:47 2019 No.10662516 Why does the brain see/create fractals when LSD/DMT/psilocybin is consumed? What’s the neurological basis of this? Slightly off topic but I just find it so strange that mandelbrot like structures are what people encounter in altered states.

>>	Anonymous Tue May 21 21:21:56 2019 No.10662559 >>10657216 translation pls

Anonymous Tue May 21 21:45:08 2019 No.10662593

>>10662516
This article pretty much nails it. https://plus.maths.org/content/os/issue53/features/hallucinations/index

>tl;dr: Cowan and Ermentrout's model suggests that geometric hallucinations are a result of an instability in V1: something, for example the presence of a drug, throws the neural network off its equilibrium, kicking into action a snowballing interaction between excitatory and inhibitory neurons, which then stabilises in a stripy or hexagonal pattern of neural activity in V1. In the visual field we then "see" this pattern in the shape of the geometric structures described by Klüver.

>>	Anonymous Tue May 21 21:48:24 2019 No.10662595 File: 31 KB, 309x360, A836F8AB-3669-4891-B3D1-5175142F3E94.jpg [View same] [iqdb] [saucenao] [google] >>10662593 Thanks anon

>>	Anonymous Tue May 21 21:48:35 2019 No.10662596 >>10646197 Do you even Plato?

>>	Anonymous Wed May 22 02:25:53 2019 No.10662992 File: 9 KB, 337x372, 5B639862-DEBE-4E18-88CF-1F9FC84F3682.jpg [View same] [iqdb] [saucenao] [google] >>10646178 Bump

>>	Anonymous Wed May 22 13:11:13 2019 No.10663824 File: 947 KB, 256x256, 2019-03-31 04:54:00.86.gif [View same] [iqdb] [saucenao] [google] https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:13:04 2019 No.10663829 File: 429 KB, 256x256, 2019-03-12 06:15:15.249.gif [View same] [iqdb] [saucenao] [google] a https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:14:09 2019 No.10663831 File: 3.14 MB, 384x192, 2019-03-31 05:10:33.068.gif [View same] [iqdb] [saucenao] [google] julia set https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:15:33 2019 No.10663835 File: 700 KB, 256x256, 2019-03-31 06:29:52.691.gif [View same] [iqdb] [saucenao] [google] my x-set brings all the boys to the yard https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:16:38 2019 No.10663839 File: 708 KB, 256x256, 2019-03-31 04:57:20.906.gif [View same] [iqdb] [saucenao] [google] if i recall, this is an animation over a parametric curve in julia sets with a circular inversion applied

>>	Anonymous Wed May 22 13:19:25 2019 No.10663854 File: 3.78 MB, 576x576, ezgif-2-1eef684eba1e.gif [View same] [iqdb] [saucenao] [google] Hey look, that's my github username!

>>	Anonymous Wed May 22 13:21:18 2019 No.10663859 File: 3.34 MB, 640x640, 2019-03-31 05:24:17.231.gif [View same] [iqdb] [saucenao] [google] Does anyone wanna help me with this project? https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:22:30 2019 No.10663863 File: 1.22 MB, 256x256, 2019-03-31 05:02:50.456.gif [View same] [iqdb] [saucenao] [google] Bizarre exponent julia set https://github.com/2swap/FractalDive/

>>	Anonymous Wed May 22 13:24:56 2019 No.10663870 File: 911 KB, 256x256, 2019-03-31 05:04:08.326.gif [View same] [iqdb] [saucenao] [google] triple julia

>>	Anonymous Wed May 22 13:26:12 2019 No.10663873 File: 484 KB, 256x256, 2019-03-31 04:41:30.678.gif [View same] [iqdb] [saucenao] [google] boop https://github.com/2swap/FractalDive/ If you wanna help me with this softo, message me at 2swap#7419

>>	Anonymous Wed May 22 13:28:26 2019 No.10663877 File: 1.84 MB, 256x256, 2019-03-12 07:35:12.347.gif [View same] [iqdb] [saucenao] [google] 4chan filesizes are not conducive to thorough mandelbrot appreciation

Anonymous Wed May 22 14:55:57 2019 No.10664054
File: 1.72 MB, 320x180, Juliasetsa.webm [View same] [iqdb] [saucenao] [google]

Here is a short animation illustrating various Julia sets associated to a set of points on a spiral in the Mandelbrot set.

Since the bitrate/resolution is too low, you can not see the current location marked in the inset - see https://youtu.be/PxMbLG794MM for a high res version.

Anonymous Wed May 22 17:59:43 2019 No.10664415
File: 2.25 MB, 720x720, weeee.webm [View same] [iqdb] [saucenao] [google]

Turns out that if you move along the image of the unit circle by the jungreis function, you get a guided tour of the boundary of the Mandelbrot set.
Bit bumpy, but you get some nice sights along the way !

>>	Anonymous Thu May 23 08:51:25 2019 No.10665701 bump

Anonymous Thu May 23 10:53:32 2019 No.10665903
File: 28 KB, 458x458, Thiswillnotendwell.jpg [View same] [iqdb] [saucenao] [google]

>>10662440
>Math cannot and will never apply to "soul" or the essence of anything. It will tell you how many apples there are, but never what an apple is.

Math can define what an apple is. Physics and math will be one at some point. There are ways. Artificial intelligence is just one example of the intangible becoming tangible. I am saying that The Mandelbrot set can not only be used to create a self perpetuating algorithm, but is indeed one of many fractal forms that can infuse such workings with a random operator that can make such an artificial intelligence "creative". In short, the secret sauce that can make a robot write a symphony. The breath of life that makes The Golem move.

>>	Anonymous Thu May 23 11:07:32 2019 No.10665927 >>10665903 >Physics and math will be one at some point. Citation needed. Also, you are a disgusting human being. More than that, you are a villain. Your kind must never be allowed to gain power.

>>	Anonymous Thu May 23 11:10:29 2019 No.10665931 File: 81 KB, 640x455, 0.jpg [View same] [iqdb] [saucenao] [google] >>10665927 What's wrong? I am saying a "soul" exists. Why aren't you happy?

>>	Anonymous Thu May 23 11:12:25 2019 No.10665933 >>10665931 >a quantifiable soul exists I would rather die.

>>	Anonymous Thu May 23 11:13:28 2019 No.10665938 >>10665931 lol why should we even believe you?

>>	Anonymous Thu May 23 11:16:26 2019 No.10665949 File: 14 KB, 350x245, 1.jpg [View same] [iqdb] [saucenao] [google] >>10665938 Because anon, I make them on the daily.

>>	Anonymous Thu May 23 11:19:53 2019 No.10665955 File: 90 KB, 320x320, pepe-transparent-gun-4.png [View same] [iqdb] [saucenao] [google] Well I'm officially spooked What the fuck are you?

>>	Anonymous Thu May 23 11:25:40 2019 No.10665971 File: 35 KB, 640x960, SWAS.png [View same] [iqdb] [saucenao] [google] >>10665933 Careful what you wish for...

>>	Anonymous Thu May 23 11:29:05 2019 No.10665979 >>10665971 Is that a threat?!

>>	Anonymous Thu May 23 11:30:43 2019 No.10665985 >>10665979 No, it's a prophecy. ^-^

>>	Anonymous Thu May 23 11:35:29 2019 No.10666002 >>10665955 Just another schizo anon. Forget it.

>>	Anonymous Thu May 23 16:33:02 2019 No.10666595 >>10657229 that is fuckin nuts

>>	Anonymous Thu May 23 16:36:59 2019 No.10666604 >>10657275 >>10657487 >>10657343 i've always found these 3d mandelbrot-style fractals kind of ugly because they always look unnaturally stretched out in parts

>>	Anonymous Thu May 23 16:39:56 2019 No.10666615 >>10658985 i've always appreciated the fact that the mandelbrot set has a gigantic ass and the elephant valley is a good name for it

>>	Anonymous Thu May 23 16:40:42 2019 No.10666618 >>10666604 That's because they are. There is no 3D equivalent to the Mandelbrot set.

>>	Anonymous Thu May 23 16:50:04 2019 No.10666651 >>10666618 there should at least be some 3d fractal that looks as cool

>>	Anonymous Thu May 23 17:35:50 2019 No.10666837 >>10646178 >Even after countless zooming videos are posted on youtube every day, the total amount of set explored will always be 0%. Are you sure you don't mean an ever decreasing percentage ad infinitum? The mandelbrot set is a map like any other.

>>	Anonymous Thu May 23 17:38:58 2019 No.10666859 >>10646197 It existed as a mathematical structure, perhaps merely as potential rather than any form of physical manifestation, unless you consider the fact that the universe has a structure based on sacred geometry.

>>	Anonymous Thu May 23 21:49:17 2019 No.10667469 >>10646178 Thank you anon, the documentary was fucking awesome

>>	Anonymous Fri May 24 11:12:04 2019 No.10669032 >>10667469 https://www.youtube.com/watch?v=h06_pkTHAME

>>	Anonymous Fri May 24 13:06:26 2019 No.10669240 >>10662559 looks like calculating values by hand for a julia set the guy that did all this did it by hand and a slow af computer

>>	Anonymous Fri May 24 13:09:45 2019 No.10669251 thanks everyone contributing to this thread

>>	Anonymous Fri May 24 14:28:45 2019 No.10669409 >>10669251 you're welcome

>>	Anonymous Fri May 24 17:38:49 2019 No.10669901 >>10666651 I think one of the problem is visualizing them: 3D graphic engines simplify things into continuous stuff (a lot of triangles patched together), but what make these sets interesting are the discontinuities.

>>	Anonymous Fri May 24 17:48:41 2019 No.10669919 >>10669251 Together we are /Mandelbros/.

Anonymous Fri May 24 20:31:04 2019 No.10670264
File: 1.83 MB, 333x358, merch.gif [View same] [iqdb] [saucenao] [google]

>>10665903
>Math can define what an apple is

In terms of quantification, yes. In terms of taste? No. Smell? No. Color? Not really. It can only tell you how many there are, not where it comes from or why it is here.

>Artificial intelligence is just one example of the intangible becoming tangible

No, "AI" is a series of electrical pathways hardwired to do a specific and usually limited function. It is as "tangible" as we make it, just as everything else we made. The only thing we have ever done to accomplish this process is refined materials and arranged them in a specific way. There is absolutely nothing quantifiable about the arrangement and coherency of the exact same amount of what you started with.

>I am saying that The Mandelbrot set can not only be used to create a self perpetuating algorithm,
>create
>self-perpetuating
Never ending nor beginning means "never created" to begin with.

>>10665931
>>10665933
>>10665938
There is a "soul", but "having a soul" implies you posses it. Does a radio posses a signal?

>>	Anonymous Sat May 25 04:58:31 2019 No.10671120 File: 3.92 MB, 4800x3840, Braini8_6_4800.jpg [View same] [iqdb] [saucenao] [google] This is what happens when you draw each point's escape time at its n-th iteration, in this case n=8. The sum of these pictures over all n is the Buddhabrot.

>>	Anonymous Sat May 25 05:01:16 2019 No.10671124 File: 3.30 MB, 3840x2160, hue.jpg [View same] [iqdb] [saucenao] [google] >>10671120 And this is my favorite section of it. I have the original in 19200x15360 here (Uploading at the time of this post): http://wickersoft.com/fractals

>>	Anonymous Sat May 25 05:18:51 2019 No.10671137 File: 21 KB, 800x450, irobot.jpg [View same] [iqdb] [saucenao] [google] >>10670264 >Can math define the taste of an apple? Can you?

Anonymous Sat May 25 16:14:57 2019 No.10672334
File: 101 KB, 820x609, mb.png [View same] [iqdb] [saucenao] [google]

Just found a fascinating paper about this.
It seems the structure of the chaotic antenna of the Mandelbrot set is controlled by the periodic part that includes the main cardioid. I'm no mathematician so if someone could explain this it would be greatly appreciated.

Pic related.

Paper: https://file.scirp.org/pdf/IJMNTA20120100003_58800329.pdf

>>	Anonymous Sat May 25 17:01:42 2019 No.10672450 >>10665903 how? Physics is finite and math is infinite. Clearly they are distinct from each other.

Anonymous Sat May 25 18:07:32 2019 No.10672637
File: 11 KB, 319x310, 1-s2.0-S0960077905010854-gr1.gif [View same] [iqdb] [saucenao] [google]

>>10672334
This pic should explain where the periodic and chaotic regions are.

Also found an earlier paper from the same group: http://digital.csic.es/bitstream/10261/2675/3/Pastor07.pdf

>>	Anonymous Sun May 26 06:13:44 2019 No.10673857 >>10646197 Did two objects being the sum of one object and another object exist before someone wrote down 1+1=2???

>>	Anonymous Sun May 26 06:26:14 2019 No.10673876 >>10673857 objects existed but there was no notion of sum

>>	Anonymous Sun May 26 13:15:19 2019 No.10674633 File: 769 KB, 1440x1024, scribbles-2.png [View same] [iqdb] [saucenao] [google] >>10657216

>>	Anonymous Sun May 26 13:21:21 2019 No.10674656 File: 1.62 MB, 3840x2160, cool colors.jpg [View same] [iqdb] [saucenao] [google] i made a few of my own

>>	Anonymous Sun May 26 13:32:24 2019 No.10674690 File: 3.79 MB, 5000x2812, julia set.jpg [View same] [iqdb] [saucenao] [google]

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/sci/ - Science & Math