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Piotr Borys
utak3r@o2.pl
Last update: 12.12.2004
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Generalized Julia
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It's a very generalized Julia set equation - you can achieve
with that many interesting effects. You can manually search
the seed parameter, or you can use the according Mandelbrot
set as a switcher.
The general equation used here is:
z = c^@cpower * @func_z(z^@zpower) + c^@cpower * @func_c(c)
This covers quite many known variations of a Julia set.
When hunting for interesting shapes, try keeping one of the
parts of the complex seed at 0 (for example (0.4,0) or
(0,-1.2)), play with non-integer powers of the z and c
parameters and combine various functions. Good luck! :)
Generalized Mandelbrot
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It's a very generalized Mandelbrot set equation, covering
quite many various variations of it. The exact used
equation is:
z = #pixel^@ppower * @func_z(z^@zpower) + #pixel^@ppower * @func_p(#pixel)
Using this formula you can find interesting entry points
to the according Julia set.
Iteration Power - coloring formula
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This coloring formula is a good replacement for basic coloring
in UF. Keep the power factor at low values.
Wavy Traps - coloring formula
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Original idea taken from Damien M. Jones, and then expanded
to my personal wishes. Thanks goes to Toby Marshall for his
help :)
I created this coloring specially for the Newtonian-like
fractals, but playing with options in the 'Type' section
you can fit this into almost every other fractal type.
Don't forget about 'Rotation' parameter! It has a huge
influence into coloring appearance.
Setting 'Iteration Modifying' to true, almost completely
changes the coloring - I strongly recommend this mode :)
Without it you'll get almost normal, common and old Orbit
Traps with waves shape ;)
When you set all the parameters, find the best coloring
with this method:
- set 'Use Screen Center' to true, then play with moving
your fractal here and there. Move by small distances,
it changes very quickly.
- when you're done, ie. you find some interesting coloring,
turn off 'Use Screen Center', go to the 'Location' tab
in UF3, right-click inside one of the 'Center' edit-boxes,
choose 'Copy complex value', return to your coloring tab,
right-click inside one of the 'Trap Center' edit-boxes
and choose 'Paste complex value'. You're done! You can now
move your fractal without changing coloring algorithm :)