Compasses Part 2


This is part 2 of the guide to Compasses fractals. This time I’m inverting them i.e. transforming the complex plane by applying a power of -1. This is the same transform that produces the Inverse Mandelbrot which I think resembles a trilobite. The last example is similar to the Inverse Mandelbrot but it appears to have swallowed what looks like a very fat Mandelbrot.

The formula for Compasses can be found in the part 1. All the examples use alpha = 2 and z0 = transformed c (c = c-1) and varying values of beta.

beta = 0


beta = -1


beta = -1.665


beta = -2


beta = 0.125

That’s it for Inverse Compasses, the next part will use negative values for alpha.

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Posted 9 December 2011 by element90 in Fractal

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