The Mandelbrot Set (Part 1)

[mzedong001]

Clarke hated UFO abductees because he supported a government funded space programme, not free space travel. Not to my knowledge at least.

[JustSomePerson888]

@mzedong001 - didn't he used to do that whole TV series and book/s on the paranormal - he didn't just debunk it all did he? i can't recall exactly as i was only about 4 when it was on, but i remember liking it and liked how it had the crystal skull on it as a logo. 'Arthur C. Clarke's World Of Strange Powers' i'm sure was one of the titles.

[rubbersole79]

Nothing Special?

How arrogant could anyone be?

[TractorTheBassist]

1:35 It's hard to believe he's dead... R.I.P. Benoît Mandelbrot.

[EshkaronsEngine]

From my limited research this equation also explains our consciousness and that we are strange loops. If indeed we are just biological machines than knowing that we have this beautiful set as software is comforting.

[nickringer]

Pink Floyd riff in the end? I bet that guy likes to kick back with Saucerful of Secrets

[Falcrist]

RIP, Dr. Benoît B. Mandelbrot.

20 November 1924 – 14 October 2010

You showed us so much beauty in mathematics.

[deemikay]

@TheAntiFascist2010

Funny :p

[TheAntiFascist2010]

@deemikay One must represent a three dimensional space. So if you wanted to you could always break one down into a smaller one.? Am I right. > Yes I am. But in a whole integer system and here is where I feel you are getting lost, you cannot leave the original mass of the original one behind and replace it with anything less than the first one. All mass existing in a definable portion of space time. In other ways scientist have tried to state this, quantified space.

[TheAntiFascist2010]

nothing in reality looks like the mandelbrot set. unless you are on acid.

[TheAntiFascist2010]

Isn't this the same thing as the Pythagorean theorem. Comprised is the first integer of the set. If you compromise the first integer in a set don't you compromise the whole set?

[deemikay]

@TheAntiFascist2010

No it's not the same... the Mandelbrot set arises from an iterative process on complex numbers.

What do you mean by "compromise"? How do you "compromise" a number? Is this a mathematical concept?

[TheAntiFascist2010]

@deemikay I feel like I am writing a letter to an idiot. How can you compromise a number? By defeating the volume of the original number in the set. For any and all examples this number would be one. Is this concept outside your range?

[OwnedOver9000]

Epic voice!

[TheWayshowerTube]

Thank you so much Samanfer, I have known that all things were limitless but now having this geometrical form and formula we can proof that all is infinity still I am questioning can they do make a hologram project of this formula and put it in to modelspace like the universe. This is just a 2d model and I believe there are more deeper and complicate html codes on all dimensional playing fields that intercross each other, some we not even can comprehend in this 3d human body.

[jikarutakihira]

Mandlebrot set is nothing special, it's a simple pattern plus one.

C is defined to infinitely change or increase (or decrease) infinitely by one. Z is the ever-expanding variable for the set, and the Z by the C just shows that it is to exponentially add to itself. Thus you get a spiral of patterns replicated and changed once, infinitely. It's not chaotic in the slightest, it's just a set structure defined by a formula, and certainly not God's thumbprint.

[orcodrilo]

Yup, actually the M set demosntrates no god is needed, just a simple rule and repetition can cause infinite complexity

[robrec0rd]

@orcodrilo Yes, it suggests that life is 'naturally derived' and not 'decided'/'designed',, but not so fast.. (I'm not arguing for or against the idea of God), but what is it that creates the conditions for fractal geometry to occur? Where does all this arise from?

[orcodrilo]

@robrec0rd Well, from this point i find a clear fork in the road for me. If you can just accept that the emergence of complexity from simplicity is an intrinsic characteristic of the universe we are done. If you don't accept is just a embedded characteristic of universe, find among your favorite beliefs an alternative cause...

[happyworldas1]

@robrec0rd, you may as well ask; 'Where does physics come from?' - which is a damn good question really - lol

(I sometimes think how 'lucky'' it is that Hydrogen can build on its self - and even become self aware - like us)

[happyworldas1]

@jikarutakihira, the graph or "patterns" never repeat exactly. That is a chaotic outcome from, as you said, "a set... formula".

[seigeengine]

@happyworldas1 No. Infinite variance does not imply chaos. They are two very different concepts. You jump too soon to extreme conclusions, and frankly, I find it rather repugnant of you to try and fit a concept of such stunning mathematical beauty to merely being a terrible reinforcement for your predetermined ideals.

[Darpinion]

@jikarutakihira What's more "special"?

[nicholasthetaylor]

@jikarutakihira God's thumbprint? Obviously not, but nothing special? Show me something that you have discovered that better's it, please?

[ILLBEBACH2]

@jikarutakihira I don't know math well. What is the process in reverse?  If a simple pattern plus one is infinity outwards, what is a simple pattern minus one? Wouldn't there be infinity going inward as well?

[jikarutakihira]

@ILLBEBACH2 Reread what I wrote. It does.

[iriesoldjahs]

@jikarutakihira You are a Complete moron. Things are seem obvious after discovered. Mandelbrot is regarded as possibly the most important mathematician of this century. You are a complete idiot

[mzedong001]

@iriesoldjahs agreed. I think he´s one of the most important mathematicians of all time.

[brandeezy108]

@jikarutakihira if it's so damn simple, why didn't you discover it?

[jikarutakihira]

@brandeezy108 Easy, I didn't need to.

[brandeezy108]

@jikarutakihira ?

[JustSomePerson888]

@jikarutakihira - the point of it reflecting the natural world is that it works same as eg Phi and Fibonacci, in that the formula refers back to itself as reference for what to do next, so given phi-approximation is indeed found in nature, see here for example,

watch?v=Vp4OqE9S4RU

Nature by Numbers.

the 'god's thumbprint' part refers to that aspect of it.

as for chaos, that does get misused, that's more like the butterfly effect - a small change affects the whole system, alters the outcome

[sillypuppy2]

What's with the post apocalyptic feel. I realize this is an amazing discovery that will help transform many things but do you have to be so dreary about it.

[happyworldas1]

@sillypuppy2 lol - true

[pokemonkiller20]

i still don't understand the reason they chose a sitting man shape. if someone could tell me what this is, can they reply

[PanDeism]

They didn't "choose" the picture, that is what you get when you graph the simplest formula by the rules of the Julia set.... that's all there is to it!!

[THEoldy]

They didn't choose the shape. Thats the just the shape you get when using the formula that makes the set. No one 'made' the shape per say, a better word is 'discovered'

[pokemonkiller20]

thanks Mr.Obviouse. no what i mean is how did the FORMULA make the shape.

[ovadafone]

by repeating a pattern of creation indefinitly

[pokemonkiller20]

what KIND of pattern. does everytime it jump on a point, that point changes color dipending on how much it jumps? or does each points color ditermined by how much it can repeat itself until it leaves a circal

[ovadafone]

start with a tree trunk a straight line .add two branches,then add two branches too the previos branches. then add two more branches to each branch you add ,keep going forever .making sure all the branches are the same size .this is how tree's grow how your blood viens were created etc etc.you can start with any geometric shape

[pokemonkiller20]

DUDE THATS NOT THE MANDLE BROT SET! YOU OBVIOUSLY KNOW NOTHING ABOUT JULIA SETS! thats just a randome fractal

[IbnAlla]

The first picture of this Mandelbrot shape immediately reminded me of a sitting Buddha or a Thai temple.

[petereuropa]

I wonder: when Niels Bohr won the battle of the future science investments and research in a meeting with the world's most intelligent scientists including A. Einstein (he was in opposition to N. Bohr),

with his Quantum Mechanics, my question is? Was is the result? Antimateria?

Mandelbrot and Einstein could have had fantastic cooperation, I am sure of that!

[gregorov78]

I see God.

[Gearhead142]

i dont i see a rabit on a bike

[rtorresuk]

this is proof that mathematics can be truly beautiful

[bu0sultan]

mathematics IS truly beautiful. solving mathematical problems is very enjoyable.

[JustLiveITtv]

Thanks for posting the vids. on the Mandelbrot Set!

[Domytar]

does any body know where it was found?

[happyworldas1]

When u say "it" I assume u mean the Mandelbrot set.

It's a mathematical concept/process arising from complex dynamics, a field first investigated by the French mathematicians Pierre Fatou and Gaston Julia at the beginning of the 20th century.

[happyworldas1]

cont...

The first computer generated pictures of it (Julia-set & Fatou-set) were drawn in 1978 (coincidently the same year Gaston Maurice Julia died) by Robert Brooks and Peter Matelski as part of a study of Kleinian Groups.

From a set parameter that gets repeated, you can get an infinitely changing and non-repeating result.

Like our minds!

[Domytar]

thanks for replying a shall sit in the corner and try to grasp that one lol. cheers

[trackstar789]

@Domytar It was not "found" it was generated by a mathematical formula which was discovered by Benoit Mandelbrot

[Domytar]

@trackstar789 Thanks