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A bare bones spiral.
Mandelbrot algorithm, bad complex power, Gaussian Integer (ceiling) maximum angle.
Created using mars and expanded using phobos (see my public profile).
30th June 2011 – 4:3 ratio original replaced with a 3:2 ratio version
fractal, mandelbrot, spiral, skeletal, abstract, element90
I’m a software engineer and I’ve been interested in the artists possibilities of fractals since about 1987. It wasn’t until 2010 that I started producing very high resolution pictures using my own software.
This is gorgeous! I had no idea this is what the skeleton formula did. Gotta go try this one. Splendid work. :o)
Thank you, I’m glad you like it. I have no idea what the skeleton formula is.
The formula I used for this has a bad implementation of complex power and as far as I know is unique to my programs. I know of at least three ways of writing a bad complex power function, I’ve implemented two of them and I may eventually get around to implementing the third. I discovered it by implementing it an OpenCL kernel so that the grapics card could do the calculations. An OpenCL kernel is based on C and doesn’t support complex types so I had to work out how to calculate the complex power of a complex number from first principles which involves conversion from cartesian coordinates to polar coordinates applying the power and converting back from polar coordinates to cartesian coordinates, I forgot to ensure when converting to polar that the angle was adjusted so that is in the correct quadrant. It was a happy mistake. In attempting to fix the problem I found a second bad complex power function which produced even more interesting images until I finally fixed it and found that the correct function produces very boring pictures indeed.
Additionally as far as I know the colouring method using the maximum angle of a Gaussian Integer is also unique to my programs along with average angle and minimum angle.
– Mark Eggleston
Thumbs up!!! Very cool!! :0)
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