LightEye
04-02-2007, 12:07 PM
dear friends,
way cool...
http://www.youtube.com/watch?v=5ej3dj4x64k
here's more info on the buddhabrot...
the buddhabrot technique
http://www.superliminal.com/fractals/bbrot/bbrot.htm
the buddhabrot technique
by melinda green
the images on this page were all generated using a technique i developed to render the mandelbrot set. it's important to realize that it is not a different fractal from the mandelbrot set, but simply a different way of displaying it. clicking on some of the images will take you to a normal rendering of the exact same area, but using the traditional mandelbrot technique. note that even though the images resemble hindu art, they were actually generated completely automatically, without any sort of human artistic intervention. when i first tried using the new technique, i had no idea what the images might look like and was completely surprised by the results.
i was later pleased to learn that a computer artist named lori gardi, who i had described this technique to several years ago, has since devoted a great deal of her creative effort to generating various high-resolution images using the technique. she named it buddhabrot which is a name i instantly loved and have adopted. lori's web site contains some reduced examples of her work along with her writings into the mystical connections she's made between the mandelbrot set and buddhism.
the above image shows the overall entire buddhabrot object. to produce the image only requires some very simple modifications to the traditional mandelbrot rendering technique: instead of selecting initial points on the real-complex plane one for each pixel, initial points are selected randomly from the image region. then, each initial point is iterated using the standard mandelbrot function in order to test whether it escapes or not. only those that do exit are then re-iterated. (the ones that don't escape - i.e. which are believed to be within the mandelbrot set - are ignored). during re-iteration, i do not color a pixel according to the number of iterations used, but instead, i increase a count field for each pixel that it lands on before exiting. every so often, the current array of "hit counts" is output as an image. eventually, successive images barely differ from each other, ultimately converging on the one above. i'm the most unreligious person you could ever meet, but it's hard not to think of this image as revealing god hiding in the mandelbrot set and proving that the hindus were right all along.
be well, be love.
david
way cool...
http://www.youtube.com/watch?v=5ej3dj4x64k
here's more info on the buddhabrot...
the buddhabrot technique
http://www.superliminal.com/fractals/bbrot/bbrot.htm
the buddhabrot technique
by melinda green
the images on this page were all generated using a technique i developed to render the mandelbrot set. it's important to realize that it is not a different fractal from the mandelbrot set, but simply a different way of displaying it. clicking on some of the images will take you to a normal rendering of the exact same area, but using the traditional mandelbrot technique. note that even though the images resemble hindu art, they were actually generated completely automatically, without any sort of human artistic intervention. when i first tried using the new technique, i had no idea what the images might look like and was completely surprised by the results.
i was later pleased to learn that a computer artist named lori gardi, who i had described this technique to several years ago, has since devoted a great deal of her creative effort to generating various high-resolution images using the technique. she named it buddhabrot which is a name i instantly loved and have adopted. lori's web site contains some reduced examples of her work along with her writings into the mystical connections she's made between the mandelbrot set and buddhism.
the above image shows the overall entire buddhabrot object. to produce the image only requires some very simple modifications to the traditional mandelbrot rendering technique: instead of selecting initial points on the real-complex plane one for each pixel, initial points are selected randomly from the image region. then, each initial point is iterated using the standard mandelbrot function in order to test whether it escapes or not. only those that do exit are then re-iterated. (the ones that don't escape - i.e. which are believed to be within the mandelbrot set - are ignored). during re-iteration, i do not color a pixel according to the number of iterations used, but instead, i increase a count field for each pixel that it lands on before exiting. every so often, the current array of "hit counts" is output as an image. eventually, successive images barely differ from each other, ultimately converging on the one above. i'm the most unreligious person you could ever meet, but it's hard not to think of this image as revealing god hiding in the mandelbrot set and proving that the hindus were right all along.
be well, be love.
david