=============================== Piotr Borys utak3r@o2.pl Last update: 12.12.2004 =============================== Generalized Julia =================== 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 ======================== 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 ==================================== This coloring formula is a good replacement for basic coloring in UF. Keep the power factor at low values. Wavy Traps - coloring formula =============================== 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 :)