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Welcome to Fractal Forums > Real World Examples & Fractical Applications > Fractal News across the World > inigo quilez - the main bulb of the Mandelbrot set (analytical)
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Author Topic: inigo quilez - the main bulb of the Mandelbrot set (analytical)  (Read 1186 times)
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cKleinhuis
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« on: April 28, 2016, 09:51:28 AM »


inigo has written a nice article about the inner region of the mandelbrot of depth 1 and 2 iterations,
http://iquilezles.org/www/articles/mset_1bulb/mset1bulb.htm

shadertoy
https://www.shadertoy.com/view/4sdXWX
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« Reply #1 on: April 28, 2016, 01:53:54 PM »
nice!  Here's the complicated result for period 3, mentioned in the article:
http://www.ams.org/journals/proc/1995-123-12/S0002-9939-1995-1301497-3/S0002-9939-1995-1301497-3.pdf
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eiffie
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« Reply #2 on: April 30, 2016, 03:19:04 AM »
Seems to work with mandelbulbs as well. You can use the Qk formula for a bounding radius and the Rk for darkening the interior folds.
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