Powered C
From Ultrafractal Wiki
Powered C is a Fractal Formula in sam.ufm.
Contents |
What is it?
This formula was discovered by chance. It displays a fractal pattern in a circle. It is a Julia formula in which the constant c (in Z = z^2 + c) is raised to a power at each iteration.
Parameters
Starting Point
As in a standard Julia, modifying this will change the fractal pattern.
Power of z
This is the power to which z is raised at each iteration. The default value (-1.5, 1) can seem strange, but it's only for such kind of value that the fractal is circular. Increasing the real part will strengthen the pattern (don't set values higher to -1). For the imaginary value, the smaller it is (in absolute value), the fainter the pattern becomes.
Power of c
The power to which c is raised at each iteration. Setting an nonzero imaginary value will break the circle. As with the standard Julia, the real value gives the symmetry of the pattern.
If you want to have a more "global" view of the Powered C formula, you may want to try Powered C Family.
