Oct 18, 2010

Crossroads and Fractals


As you guys maybe aware Mandelbrot died this week. He was best known for "Fractals", a function that is continuous everywhere and differentiable nowhere. Kevin Drum explains it as
It's the fractal image shown on the right. It looks pretty ordinary, but if you zoom in you start to see a lot more detail. Zoom some more, and there's even more detail. You can zoom forever, and you'll keep finding more detail no matter how fine a microscope you use, much of it surprising and unpredictable.
What this all brings is to the fact that, I think this is true model for life in general too apart from the financial instrument pricing model for which it is mostly used. The ability to arrive at crossroads and make decisions is limited only by our consciousness but its upto us to arrive at a working model for our decision making process.

7 comments:

  1. i agree with u. I strongly believe my life follows a pattern and everytime I'm in a crossword, i seem to make the same kinda decisions.

    But there are couple of problems with it when i try to model the results.

    1. its difficult to determine where exactly I'm in a pattern at a point in time, because, although the pattern is same, the scale differs

    2. its an evolving model, so there is no conclusive output. it evolves with every trial

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  2. Well..
    Your point 1 is kinda the whole point..Its never a pattern.. as in there are are always more details to be taken care of. (I rephrased point 2 here)..so its not a bug..this is the feature

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  3. True. The possibility of infinite variables makes the model interesting

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  4. This comment has been removed by a blog administrator.

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  5. @Vibh - Deleted your comment, it was beneath even your standard

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  6. jahan se main dekh raha hoon Mr. Rishav...mujhe ankurit aaloo dikhai de raha hai

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