The Beauty of Chaos

[StuckInnerRut]

"Maybe nature isn't that complex..." What a fucking arsehole!

[93tomb]

Thank you for making this video; It was this that inspired my interest in chaos, and inspired me to buy julien sprott's book.

[ignisacimpetus]

there is nothing chaotic about the the fomalities that have been shown in the video, they can easily conceived with very simple math equations

[93tomb]

@ignisacimpetus: you clearly don't understand the nature of chaos. Of course they come from simple math equations; chaos is by its very definition deterministic. The fact that it is unpredictable stems from the nature of iterative functions; in a chaotic system, errors are multiplied exponentially. The fact that it comes from a simple quadratic or cubic equation does not contradict its chaotic nature; rather, therein lies the beauty of chaos.

[ignisacimpetus]

did you even took the time to understand my comment.

[heartpeep]

wish I understood anything about this

[IronMAARTEN]

You should check the book on strange attractors by sprott. Its a bit of a read, but the explanation is quite easy.

After a LONG break in the coding of simple math programs, I will very soon be making a shader-based version of this program, multithreaded and all. It should run a hell of a lot faster. Will post here when done.

[heartpeep]

hey thanks Ill check it out :D

[hal68g]

you should look up the source for the X screensaver called 'Strange' it does realtime animations of strange attractors. could cut down on coding time.

[hal68g]

It is GPL by the way.

[DarkWhite25]

that audio track is sweet, would be perfect for a chop up into a electro house track...

and stunning pictures. organic & electronic. very nicely balanced.

[Willowpaw14]

It's so beautiful!

[seb538835]

works of art.

[inuloveskagome]

these images are gorgeous. I think they should be made into photoshop brushes, just because they're beautiful.

[regionalmathematics]

uh. they are even more useful than beautuful!

[nathanwilefrazier]

This video should be entitled: "Anarctic Pop Shots"

[nathanwilefrazier]

Video Request: Animation of continuous evolution of the sets into each other set to "The Sky Was Pink" by Nathan Fake.

[IronMAARTEN]

I won't change the title, but i have a massive project using my 3D engine starting very soon, and I'll be sure to make the video you ask.

I won't guarantee the images will be the same though, as these were randomly generated, and at the time, I didn't bother saving all the coefficients.

[nathanwilefrazier]

Cool! This is definitely pretty stuff.

[orangefan9]

my night light is that cool! no jk but I am a logical prodigy who watches teh tube!

[tokyoamducias]

i had a trapper keeper with graphics just like that.

[Gummibar997]

looks like backrounds for windows vista but awsome

[andonjuin]

damn i look at sprott's shit all the time

[CrabHunter]

Nice mathematical shapes. Where is the music from (title/musician)?

[IronMAARTEN]

Empire (Law Rah Collective Remix) by Terrorfakt

[wingtsunnineoeight]

LOL well funny guys.... good to see that theres no hard feelings in the end. Great video! ive just started in mathematics and this is very magical. I love what ive found, maths is beautiful. studying chemistry too quite intensively very addictive. i take it these are graphical interpretations of functions or such? well its nice anyways. thanks!

pete

[IronMAARTEN]

Yes indeed, i do not like hard feelings, but a little rough spot some times is OK, keeps one on his/her toes.

Yes, these are plots of recursive functions which in this case are used to map a point onto the view space again and again, leaving a spot on eacht map iteration.

Related to iterated function systems.

Thank you for the comment!

[sirjacko1]

ummmm... a very useless piece of garbage. You just used some simple programming and some random music you found on limewire. You shouldn't entitle this 'the beauty of chaos' and link it to mathematics... that would be a travesty.

[beadmaster]

Harsh lol :P

[IronMAARTEN]

so suddenly all the underlying concepts like chaos, statistics, differential equations, lyapunov exponents, 3D computer graphics etc. are a travesty and you think i am some kind of preschooler...

Well then, see you in kindergarten after i finish my day job as a programmer for a company and my current study of Applied Physics @ Technical University of Delft, The Netherlands where i plan to specialize in nanoscience...

Here, have a doughnut and shut up.

[IronMAARTEN]

But it WAS a funny comment I agree with beadmaster :P

[sirjacko1]

Yeah... right... kindergarten. I can't really tell you what I do, but I can tell you that I received my doctorate in mathematics from Cornell a few years ago. So just relax and accept defeat you damn amateur.

[IronMAARTEN]

Okay, good for you, have a beer on that. I respect your achievement... but as far as professionalism i expect from a maths postdoc and maybe even phd you kind of disappoint me. why bother flaming babies when all you respect are postdocs and anyone who isnt an amateur has to be a phd or fields medal winner? Anyway, best of luck in your little world of mathematical incomprehensibility and infinite wisdom. i salute you from my amateur cave where i have just discovered fire and a way to cool beer.

[IronMAARTEN]

...oh yeah, and sorry for this stupid stuff but i like flamewars sometimes :P

Like they say in Portal, "I don't hate you"

Greetings from The Netherlands.

[IronMAARTEN]

Plus, after reading your profile, i might have misheard. You got your doctorate in mathematics from Cornell('s ice cream parlor)

Dude your only a year older than me, so either you are a super genius and shouldnt even be on youtube but making millions, or you should stop bashing babies and get to work getting people ices.

[sirjacko1]

Lol that is comical. As much as I wish I was still 20, I am going on 31!

[zim01001]

Conclusion: WOw. What kind of mathematics/ideas are used? Have you uploaded the source code?

[IgorIgor44]

Lauwe shit man ... je had er beter power metal onder kunnen zetten maarja ...

[aarschgezicht]

ok waar sloeg dat op?

ik snap het niet maarten leg het is uit.

en zet volgende keer een coole drumsolo onder het filmpje

[zwabbah]

helleuw there :|

ziet er leuk uit maarten :P

beetje random waarden maken ofzo?

[eala7]

Hey Maarten, veeery cool. Keep on going with it.

[immanentinfinite]

this is cool. i wonder how a program like this could be taken advantage of for design or engineering.

[KarmaStuff]

We can't guess if it's about matter particles, strange animals or cosmic structures... Very beautiful... ^^

Advice : watch this video with "Diamond Sea" - Sonic Youth

[kapazas2002]

sciencedaily.comreleases200609­060913185654 where is snap crackle & pop

[HLinX]

I appreciate you made some code to simulate these but it seems like a waste of time tbh

These can easily be made in photoshop with a lot better control over colours etc

If you could make them animated that would be better, quite similar to one of the windows screensavers though

[IronMAARTEN]

I can, but it takes quite the amount of computational power to do it in realtime with sufficient detail. I am thinking about a GPGPU design for this though.. that should enable huge speed improvements to such an extent als to make the searching almost realtime and the rendering realtime so that we can warp and fly around and through these plots.

[IronMAARTEN]

Add: i have been programming for pretty long too, and started in graphics.. i should as such be able to finish a project like this on quite a short time scale too, though GPGPU work would be a first for me but it isnt hard.

[gsdgdfgsdfg]

Can I download your program from somewhere? :)

[IronMAARTEN]

I completely recoded it, making the formula used heavier, and am still modifying it to read settings from a source file etc. but it's almost done.

It runs faster than the old one on the same settings so 1 000 000 points now only takes 1.1 seconds with a 2-dimensional 2nd order attractor..

I will make a site where i will upload this and other programs, and let you ask questions. I will send you a message on completion.. thanks for the kind reaction!

[cmonsense]

What language did you use and what environment? I want to write programs like this and simulations of complex behaviour.

[IronMAARTEN]

this was coded in (Visual) C++ -> Microsoft Visual C++ 6.0, using OpenGL for rendering, and C-standard math routines and Windows Multimedia for timing etc.

[BlarneyStone1]

Dancing on the strings...

[thalassaaa]

Mooi hoor. ;)