folkert
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    Fractal Reality

    "I wonder whether fractal images are not touching the very structure of our brains. Is there a clue in the infinitely regressing character of such images that illuminates our perception of art? Could it be that a fractal image is of such extraordinary richness, that it is bound to resonate with our neuronal circuits and stimulate the pleasure I infer we all feel?" (P. W. Atkins)

    Above: fractal fern, computed using an Iterated function system. Trees and ferns are fractal in nature and can be modeled on a computer by using a recursive algorithm. A branch from a tree or a frond from a fern is a miniature replica of the whole: not identical, but similar in nature.

    Sat, Jul 14, 2007  Permanent link

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    alborz     Tue, Jul 17, 2007  Permanent link
    I was combing my hair the other day (yes, I do do it from time to time) and I looked to my right to see the cat at the house I'm houssiting grooming himself as well.

    Even though I tend to think about these patterns we find in nature merely evidence of our desire to find/create patterns, it's interesting to think of nature as self-similar not only physically but also behaviorally.
    folkert     Tue, Jul 17, 2007  Permanent link
    I'd like to see a sketch of that situation. Do you do requests?

    Check out this example of self-similarity by Paul Bourke, he says:

    "Consider the following image, is it on the scale of a large piece of rugged terrain photographed from an aeroplane, or the side of a mountain, or a patch of dirt on the scale of a few meters, or a magnification of the surface of a rough rock? Whichever it is, it could also easily be imagined to be any one of the others. So one could start at the large scale view from the air and apply successive zooms down to a microscopic scale, the surface maintains self similarity across those scales."


    .
    here is the rest of the article
    Cristian     Wed, Dec 12, 2007  Permanent link
    I believe in self similar issues, but to our eye and brain the existence of similar elements we see every day can just pass by and we don´t realize they are there.

    For example, this image (down) was taken in Chile, but it can also be in almost any other country of the world probably. Our brain becomes a recorder of situations and pictures. Our eyes are constantly moving and capturing everything that stimulates them, so they are the receptor of an image that probably or not can be repeated exactly the same way anywhere else. It´s visual perception, how we remember, recognize things and how our vision functions with them. Our brain reacts to them, as recognize images, because they are in our memory.




    Check this images, are made by shadows of different things, many of them look similar (not the same as exact patterns, but similar), I wonder how many of us have shadows like that around us in this moment.

    folkert     Thu, Dec 13, 2007  Permanent link
    That Daylight set is great, thanks. Your point is interesting because where I was talking about self-similarity across scales, you're dealing with self-similarity within scales.
    Feroze     Thu, Dec 13, 2007  Permanent link
    Freakin love fractals

    Heres a great site for beautiful free fractal wallpapers:

    Fractal Wallpapers

    Here's one I like in particular:

    Flame Fractal
    Harflimon     Thu, Dec 13, 2007  Permanent link














    Fractal Universe

    There's some wild ideas about fractals and how they relate to our universe and reality itself.






    Testpilot     Thu, Dec 13, 2007  Permanent link
    Recursion
    n. See "Recursion".

    I wonder if our ability to recognize patterns such as iterative systems is innate. Pattern recognition seems to be integral to human survival.

    The idea of self similarity is interesting to me. Perhaps this is the driving spirit behind the divine proportions described by Vitruvius in De Architectura. Is our sense of the timelessness of Roman architecture simply due to the recursion or self similarity between nature and that of the buildings? Is there comfort in this golden ratio or sacred geometry?



    Feroze     Thu, Dec 13, 2007  Permanent link
    thats tru about pattern recognition and survival. One of the earliest sciences was astronomy because people needed to track the patterns in the seasons in able to make preparations for food and shelter. Since there was no light pollution long time ago the sky loooked amazing, and every night people probably watched the stars and noticed it's patterns. People studied the sky throughly and even used it for navigation. They use to take down data, tracking the stars, and make models to how the universe works. The first model was that the earth was the center of the universe and the planets, the sun and the stars all revolved around the earth. Ok thats probably for another topic though, anyways fractals are the jam.
    Wildcat     Fri, Dec 14, 2007  Permanent link
    check one of the best fractal sites around Douglas Cootey's Atomic fractal artwork
    A0013237932294     Fri, Dec 14, 2007  Permanent link
    'tis the season for holiday themed fractals.
    Douglas Cootey's Christmas Eve Wrappings below. Thanks for the link Wildcat

    Mission Control     Fri, Dec 14, 2007  Permanent link
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