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Rubaiyats of Lote-Tree

The Beauty of Mathematics!

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This is ladies and gentlemen is the "Mandlebrot Set"! Some call it The God's Finger Print but it is more commonly known as "Fractal".

It is one of the most beautiful structure in Mathematics!



Here it is in action:



It's beautiful. It's mysterious. It's quite scary!

If you ever want to contemplate what infinity looks like - this is it! It's quite unsettling. It's bewildering. Disorientating!

A "Fractal" for those who don't know:

A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,"[1] a property called self-similarity.
And do you know the amazing thing about it?

It is found in nature :-)

Here is an interesting documentary on it's discovery.

http://www.bbc.co.uk/iplayer/episode...Life_of_Chaos/

Updated 03-29-2010 at 12:29 PM by Lote-Tree

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  1. Buh4Bee's Avatar
    Fractal's are very cool, especially of you are into math. Just as the artist may love looking at a painting.
  2. Lote-Tree's Avatar
    The remarakable thing about it is that it is generated from very simple rule:

    z=z2+c

    Doesn't it look like the female uterous? with the two ovaries at each side?

    A womb from which infinite possibilities given birth?

    Nature is female ;-)
    Updated 03-29-2010 at 05:08 PM by Lote-Tree
  3. Virgil's Avatar
    Your images didn't come through for some reason, at least not on my computer. But this is fascinating. Thanks for enlightening me on this.

    z=z2+c Wait, I just played around with this equation and it doesn't make sense, unless "c" is not a constant.

    I would love to see this female uterous (is there a such thing as a male uterous? ). I'm always interested in looking at the female anatomy.
  4. 1n50mn14's Avatar
    Fractals are crazy awesome. I wish I knew more about math/were more math oriented so I could actually understand them, but that's never going to happen, so I'll just look and enjoy.
  5. Lote-Tree's Avatar
    Your images didn't come through for some reason, at least not on my computer.
    ------

    It's a GIF image. I think you may need to allow GIF animations in your browser.

    ------------
    z=z2+c Wait, I just played around with this equation and it doesn't make sense, unless "c" is not a constant.
    ----------------

    The equation is a feedback loop. Value of Z squared (z2) is fed into z in each iterations.

    Here is more information on fractals.

    http://en.wikipedia.org/wiki/Mandelbrot_set


    -------------
    I would love to see this female uterous (is there a such thing as a male uterous? ). I'm always interested in looking at the female anatomy
    ----------------

    He he :-) no there is no male uterus.

    I think all men are fascinated with the female anatomy!

    Here is an sculpture what uterus looks like ;-)
    http://menstrualpoetry.com/wp-conten...terus-vase.jpg
  6. TheFifthElement's Avatar
    I watched that TV programme too Lote. Fractals are amazing. Chaos theory is fascinating. Mandelbrots are beautiful and infinitely absorbing.
    There was something on a programme about self evolving systems - about a computer programme which represented a man and which learned to walk and the programmers don't know how it worked. Did you watch that one? It might have been the same programme. I can't remember now.
    Lovely pictures.
  7. Lote-Tree's Avatar
    Ah yes. It's the same program. It was demonstrating how giving computer "brains" some simple rules to follow enables them to evolve complex behaviour like walking, falling down etc.

    It would be very difficult to program this in conventionally because you will need to program all possible scenarios. But using "Evolutionary" algorithm the task is made a lot easier!

    One of my colleague is working on a evolving fish that learns to fish efficiently to gather it's food.

    It's all quite fascinating...Alan Turing, Belousov, Mandlebrot, chaos, self-organization, evolutionary algorithm. We live in fascinating times :-)
  8. TheFifthElement's Avatar
    Yes, that Was the one! The self organising system part was really interesting. And the idea that organisation and chaos are two aspects of the same cycle struck me as somehow quite right. Absolutely we live in fascinating times!
  9. Virgil's Avatar
    Quote Originally Posted by Lote-Tree
    Your images didn't come through for some reason, at least not on my computer.
    ------

    It's a GIF image. I think you may need to allow GIF animations in your browser.
    Today i see them. I wonder what's different. Pretty neat.

    ------------
    z=z2+c Wait, I just played around with this equation and it doesn't make sense, unless "c" is not a constant.
    ----------------

    The equation is a feedback loop. Value of Z squared (z2) is fed into z in each iterations.

    Here is more information on fractals.

    http://en.wikipedia.org/wiki/Mandelbrot_set
    Oh I see.