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Author Topic: Interpolating Functions formula  (Read 710 times)
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Fractal Lover
Posts: 238

« 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 173 times.)
Fractal Senior
Posts: 7044

formerly known as 'Trifox'

« Reply #1 on: July 07, 2014, 09:04:18 AM »

good work! the coloring works in that picture nicely!


divide and conquer - iterate and rule - chaos is No random!
Posts: 62

Making Mandelbrots from Newtons for years

hugh.myers.75 hughsmyers
« 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 hybirdizationŚI've pointed him here as an excellent example!

Without tradition, art is a flock of sheep without a shepherd. Without innovation, it is a corpse. --- W. Churchill
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