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Author Topic: Radial  (Read 868 times)
Description: Transforming the complex plane to make radial fractals.
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element90
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« on: September 25, 2013, 04:30:10 PM »

Saturn provides a facility to apply transforms to locations in the complex plane, the transforms are applied before the value is used in the Mandelbrot algorithm. Applying a power of 3 and above to the location turns the Mandelbrot into a "radial fractal", adding a translation transform makes things more interesting as does the use of other functions such as "circle fold in".

Here's an example:


https://copy.com/FyrbJdTxPDlu

https://copy.com/MIlQS2Eb48f1

Saturn also allows transforms to be periodically applied while an orbit is being iterated.


https://copy.com/Nszpjy6LqzrC

https://copy.com/mxwGyQ0PbrHN

In the above fractal Mandelbrots and Tricorns (Mandelbars) can be found:


https://copy.com/TVV8lkQRDCr3

https://copy.com/FQfoZmWp9T3g


https://copy.com/deYr2jyx8QcZ

https://copy.com/3CgGQVda4SQP
« Last Edit: May 21, 2014, 06:01:27 PM by element90, Reason: Replaced file links. » Logged

Elelemt90 Fractals blog www.element90.wordpress.com
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