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Author Topic: Interpolating Functions formula  (Read 9995 times)
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lkmitch
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« on: July 07, 2014, 06:40:55 AM »

Last month, I attended the International Fractal Art Symposium, where Christian Kleinhuis gave a talk on hybrid fractals--either alternating or interpolating functions each iteration.  Since I already have an alternating functions formula in the UF formula database, I decided to write an interpolating functions formula.  You can find it in lkm3.ufm and there are some sample parameter sets in lkm3.upr.  The attached image is one example, interpolating between 2 Newtons functions, 2 Mandelbrot, and 2 Julia on each iteration.


* 2014-07-06-g.jpg (125.91 KB, 600x300 - viewed 354 times.)
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cKleinhuis
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« Reply #1 on: July 07, 2014, 09:04:18 AM »

good work! the coloring works in that picture nicely!
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divide and conquer - iterate and rule - chaos is No random!
hsmyers
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Making Mandelbrots from Newtons for years


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« Reply #2 on: April 16, 2017, 04:58:50 PM »

I've a friend working in comparative isolation with homegrown software who has begun his journey into hybirdization—I've pointed him here as an excellent example!
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Without tradition, art is a flock of sheep without a shepherd. Without innovation, it is a corpse. --- W. Churchill
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