The beautiful mathematics that Benoit Mandelbrot left as his legacy
source: http://io9.com/5666323/the-mathematical-art-that-benoit-mandelbrot-left-as-his-legacy/gallery/
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- pjacobs51
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Mandelbrot's experiments with number sets and computers in the 1970s led to his discovery that you could draw geometric shapes that were "self similar," which is to say each of their parts shares similarities with the whole. (This is why, for example, when you look at a Mandelbrot fractal, you see the same shapes emerging at its edges as you zoom into it.) His great insight was to group a number of similar kinds of mathematical phenomena together and identify them all as part of fractal mathematics. By using fractals, mathematicians and physicists could much more easily explain "rough" shapes in the real world, ranging from mountain ranges to the shapes of trees. They could also simulate those shapes too.
In 1982, Mandelbrot published The Fractal Geometry of Nature, which popularized the idea the natural world was organized by elegant, mathematical principles that could be predicted. He worked tirelessly to make his work accessible to a broad audience, which is why the fractal is perhaps one of the most widely-recognized mathematical ideas of the past half-century. Nearly everyone can recognize a fractal when they see it. Here are some gorgeous examples of fractal art, from the Mandelbrot Fractal Art Contest.
http://io9.com/5666323/the-mathematical-art-that-benoit-mandelbrot-left-as-his-l...
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JanforGore
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Nature is beautiful.
- 1 year ago
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JanforGore
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PhilCat
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Come On Obama, Just do one thing right before I leave as ash.
Make Science an everyday fun event like it used to be when I was a kid.Ask any kid, they have no idea which way is North.
Enough already with the worthless news every hour. - 1 year ago
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PhilCat
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themotivateddropout
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Here's a little Fractal Zoom for ya.
- 1 year ago
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themotivateddropout
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r0nan
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themotivateddropout:
Wicked pissah vid! Thanks.
- 1 year ago
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r0nan
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rhetoricallyineffective
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R.I.P. Sir Fractal, you taught me many things.
- 1 year ago
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rhetoricallyineffective
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keepthinkingboo
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wow ...
- 1 year ago
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keepthinkingboo
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r0nan
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Gaston Julia and Pierre Fatou.
- 1 year ago
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r0nan
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EmperorThan
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NOOOOOOOOOOOOOOOOOOOO!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Sad day.
"My God, it's full of fractals....."
- 1 year ago
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EmperorThan
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kangarooman
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thats awesome
- 1 year ago
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kangarooman
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Stoneyroad
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A song for Mandelbrot .. and his badass fucking fractal.
- 1 year ago
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Stoneyroad
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pjacobs51
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Stoneyroad:
Excellent!!!
Thanks for sharing!
- 1 year ago
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pjacobs51
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r0nan
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Stoneyroad:
Nice vid!
- 1 year ago
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r0nan
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sunofnun
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RIP.
Cheers Beniot, thanks for your brilliant observations, and tireless soul.
- 1 year ago
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sunofnun
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artemis6
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Thank you Beniot , thank you !
- 1 year ago
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artemis6
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remanns
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Einstein -
- - -Enough for me the mystery of the eternity of life, and the inkling of the marvellous structure of reality, together with the single-hearted endeavour to comprehend a portion, be it never so tiny, of the reason that manifests itself in nature.- - - - 1 year ago
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remanns
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remanns
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p.s.-
It IS rather weird to think,..........that if JHVH exists,....lets face it,....the guy's a bit baroque. ( rococo perhaps? ) - 1 year ago
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remanns
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remanns
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Adding this to GREEN -
cuz -
"The Fractal Geometry of Nature" - 1 year ago
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remanns
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pjacobs51
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remanns:
Waves and fractals . . . heh
- 1 year ago
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pjacobs51
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remanns
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Plato would have loved that guy. ( I think,...god knows he may have beat his dog or something,.....but lets ASSUME "reasonable" character unless someone knows otherwise )
- 1 year ago
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remanns
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UtopianSky
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I did not know he died.
His work was a major influence on me.Fractal mathematics alone can be used to disprove "intelligent Design".
- 1 year ago
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UtopianSky
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UtopianSky
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Dan_Dopeman:
I assume you meant how does fractal mathmatics disprove ID, not how was Mandelbrot a major influence on me.
Proponents of ID claim that pattern indicates a designer, that natural step-by-step processes only result in chaos, not structure.
Fractals are created by simple formulas that are iterated recursively; meaning the result of the calculation is then plugged back in as the values for the formula.
This simplicity results in incredible, infinite complexity.
Fractal mathematics proves that a simple step-by-step process, one building on the other as evolution does, results in complex patterns with no designer involved.
- 1 year ago
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UtopianSky
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remanns
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UtopianSky:
no designer ( necessarily ) involved. +^d. aint it kewl !
- 1 year ago
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remanns
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Dmerza1989
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UtopianSky:
I am interested on his impact on your life if you care to talk about it
- 1 year ago
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Dmerza1989
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mik661
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UtopianSky:
Sometimes its the deceptively simple things in life that turn out to be amazingly complex. To most people things they really dont understand are assumed to be easy to do or understand.
- 1 year ago
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mik661
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UtopianSky
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Dmerza1989:
Well, I meant professionally, not so much personally or anything. :)
I'm a Technologist, and I got to that point by being a computer programmer and computer graphic artist, and I do a lot of procedural graphics- the code generates the graphics, models, etc instead of just importing them.
Like Spore, but a whole lot more primitive. :)
rather than scan a picture and map it on a model, I'd generate textures like wood, marble etc so they would be seamless, and be fully 3D- the veins or grain would cut on the model the way they should cut.
I've written fractal generators, including 3D generators (old ones in 16bit Windows that don't run any more), and came up with some of my own theories about the Mandelbrot and Julia sets.
I'm currently reteaching myself stuff I have not done in a long time, like OpenGL. Back when I did OpenGL, it was just GL. :)
- 1 year ago
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UtopianSky
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UtopianSky
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mik661:
Yes, but that's where Occam law comes in.
If a simple explanation works, it is more likely than not the correct one.
Plus, as with all science, evidence and predictability come into play.See this picture?
It's not a computer generated fractal.
It's a cauliflower.
http://farm1.static.flickr.com/27/55563889_bbcd76ef27_z.jpg?zz=1 - 1 year ago
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UtopianSky
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mik661
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UtopianSky:
I am a big fan of Occam's Razor myself just not sure it applies here. Personally I have seen nothing in science that truly disputes religious belief except in the cases of fundamentalists who insist on taking the Bible to be 100% literal truth. How can man truly comprehend a God? The whole lame concepts of infallibility or God guiding the hands of the monks copying the gospels is a cop out to establish the Church bureaucracy as the only authority on faith.
- 1 year ago
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mik661
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UtopianSky
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mik661:
It applies because if the concept of God is so complex and incomprehensible, and we can explain everything in the universe without that concept, Occam's razor slices it off.
If the little we can't explain is so minor to the big picture, any magical being that may be responsible hardly qualifies for the label "god".
I wrote a logical proof that God does not exist:
http://current.com/news/92697338_earth-being-prepped-for-first-contact.htm#92699...
Ignore the part about color, and the rest of the back and forth- I was arguing with a Fundamentalist Creationist on that page.
- 1 year ago
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UtopianSky
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Dmerza1989
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UtopianSky:
Awesome! I was wondering i was trying to make a list in my head like hmm you could be a math professor, computer generator, or just love to disprove ID! lol
- 1 year ago
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Dmerza1989
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mik661
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UtopianSky:
I dont think that we are in a position to say that there are only a few things that we cant understand. Science still cant explain how a bee flies and many of the maths we cite in our explanations of the universe can only be understood by a handful of humans on the entire planet. Whose to say that the equations even really exist? You are taking it entirely on faith that they prove what they say that they do.
- 1 year ago
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mik661
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UtopianSky
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mik661:
I did not say that there are only a few things we do not understand- I said that we understand enough to get the big picture, we are just fuzzy on the details.
Science can explain how a bee flies.
http://www.livescience.com/animals/060110_bee_fight.htmlAnd even if they did not, that's one of those minute details, not a big picture issue.
The big picture- the big bang, evolution, etc we got. Since we have that, we know that if there is a magical being that has escaped our detection, it's not the "Creator God" concept.
And there is a difference between faith, which is believing in something without evidence, and trust, which is having the evidence, not understanding it, and accepting the conclusions drawn.
With trust, if you really wanted to, the evidence is there, you can figure it out. Instead, you trust in the scientific process, which includes peer-review by other scientists who would just love to prove each other wrong.
With faith, there is nothing to figure out- you can only believe.
Trust is earned, faith is given.
- 1 year ago
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UtopianSky
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mik661
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UtopianSky:
The devil is in the details. Just good enough or almost still doesn't equal total certainty. you are showing "faith" that science has the answers.
- 1 year ago
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mik661
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UtopianSky
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mik661:
No faith here- just logic.
If you have a blurry image where you can tell what you are looking at, adding details does not change the big picture.
It just adds details.
http://www.adobe.com/designcenter/keyconcepts/articles/concept_resolution/concep...
It does not take faith to "believe" science has the answers.
Science is not a magical book.
It's a process.
It's the process of observing the world around you, documenting it, verifying it, and drawing conclusions from that.
No faith involved. - 1 year ago
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UtopianSky
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Dmerza1989
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UtopianSky:
Science! Just add logic and stir!
- 1 year ago
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Dmerza1989
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XasthurNortt
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UtopianSky:
Okay fine I agree.........
But tell me this...... where did it all came from?
the raw materials of this existence.
- 1 year ago
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XasthurNortt
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UtopianSky
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XasthurNortt:
The Big Bang.
That came from the interaction of M-Branes in the Bulk.
Where the M-Branes and the Bulk came from, who knows.Like I said- if we don't know an answer, we don't know an answer.
It's unknown.
There is no need to make up an answer about some magical being from ancient folklore. - 1 year ago
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UtopianSky
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XasthurNortt
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UtopianSky:
That is the response I was looking for...... what was before the big bang baffles me in torment.
- 1 year ago
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XasthurNortt
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r0nan
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XasthurNortt:
It's the same answer as to where do you go when you die....the place you were before you were born. Right?
- 1 year ago
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r0nan
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r0nan
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UtopianSky:
The last # of Pi is your answer.
- 1 year ago
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r0nan
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UtopianSky
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r0nan:
It's 42. :)
- 1 year ago
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UtopianSky
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r0nan
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UtopianSky:
"Life, the universe, and everything"
MY GOD ! It's all so clear to me now. Bless you Utopian Sky:
- 1 year ago
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r0nan
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kangarooman
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r0nan:
all that stuff is pretty random and seemingly unrelated, though i must admit it kinda feels like you might have something there..
- 1 year ago
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kangarooman
