Title: Radial Post by: element90 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/FyrbJdTxPDlu (https://copy.com/FyrbJdTxPDlu) (https://copy.com/MIlQS2Eb48f1) https://copy.com/MIlQS2Eb48f1 (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/Nszpjy6LqzrC (https://copy.com/Nszpjy6LqzrC) (https://copy.com/mxwGyQ0PbrHN) https://copy.com/mxwGyQ0PbrHN (https://copy.com/mxwGyQ0PbrHN) In the above fractal Mandelbrots and Tricorns (Mandelbars) can be found: (https://copy.com/TVV8lkQRDCr3) https://copy.com/TVV8lkQRDCr3 (https://copy.com/TVV8lkQRDCr3) (https://copy.com/FQfoZmWp9T3g) https://copy.com/FQfoZmWp9T3g (https://copy.com/FQfoZmWp9T3g) (https://copy.com/deYr2jyx8QcZ) https://copy.com/deYr2jyx8QcZ (https://copy.com/deYr2jyx8QcZ) (https://copy.com/3CgGQVda4SQP) https://copy.com/3CgGQVda4SQP (https://copy.com/3CgGQVda4SQP) |