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Author Topic: In Theory..  (Read 3726 times)
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Bent-Winged Angel
Fractal Bachius
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« on: May 19, 2010, 06:29:25 PM »

What would be your requirements for labeling an image Buddha brot?
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reesej2
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« Reply #1 on: May 19, 2010, 11:57:55 PM »

A Buddhabrot itself would be THE Buddhabrot, an image from the Buddhabrot in the same way that we identify images as "Mandelbrot images". A Buddhabrot-STYLE image, though, would be one achieved by taking an escape-time fractal and plotting the paths of all of the points that eventually escape.
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Bent-Winged Angel
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« Reply #2 on: May 20, 2010, 02:13:36 PM »

Can anyone be more specific?   I can create a buddhabrot "style" (some may think other wise)  lol  But is there 1 specific formula that is the protoype?   I found a generator on internet, but it leaves few options..  I am not a mathmetician. (obviously)
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cKleinhuis
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formerly known as 'Trifox'


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« Reply #3 on: May 20, 2010, 02:50:03 PM »

buddhabrot us kuje reesej2 told, a plotting of all orbits that do converge,
you might now that a mandelbrot iteration loop is initialised by a starting point, some diverge against infinity, some stay in a treshold of a distance of 2 to the center
if you plot the pathes that lead to infinity in a map you receive a buddabrot rendering

the standard formula for buddabrot is z^2+c, the standard mandelbrot formula, i once wrote a program which could plot
orbits of other fractals, but it is lost now ....

the points which result in an iteration step are called orbits

buddhabrot style fractals use the same rendering technique as flame fractals or standard ifs fractals

hope that helps
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divide and conquer - iterate and rule - chaos is No random!
kram1032
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« Reply #4 on: May 21, 2010, 12:16:13 PM »

This would be Buddhabrot



And that one Buddhabrot-style


Note that both of them are postprocessed and the buddhabrot one is still pretty noisy and thus "unfinished" at the point of rendering in this image.
« Last Edit: May 21, 2010, 12:20:22 PM by kram1032 » Logged
Bent-Winged Angel
Fractal Bachius
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« Reply #5 on: May 21, 2010, 03:40:55 PM »

All in the rendering technique! I foiund this site very interesting.

http://www.superliminal.com/fractals/bbrot/bbrot.htm
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cKleinhuis
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« Reply #6 on: May 21, 2010, 04:44:48 PM »

this is the official description, the creator of the above document is also a user here: fractalwoman
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divide and conquer - iterate and rule - chaos is No random!
Bent-Winged Angel
Fractal Bachius
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Posts: 561



« Reply #7 on: May 21, 2010, 04:48:21 PM »

Very cool -thanks Trifox!  A lot for me to "chew" on.   Brain anurism... hurt
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