Mandelbrot set, a fractal. Here it's inside is colourised from a special method named "palette walk".

In this example the function uses 64 iterations and a palette of 128 colours. It starts from palette index = 64. Then in every iteration it tests for x * y < 0, if true then it decreases the palette index by 1, else it will be incremented by 1.

The method can also be used to colourise the outside (the "aura" of the fractal). If one uses two palettes then it can be combined with the normal colour-mapping method, (the count of iterations used as palette index). A example of the combination method is the image Julia set (C = 0.285, 0.01) II.jpg.

See also:

Image: User:Solkoll. Public domainPublic domainfalsefalse Dieses Werk wurde von seinem Urheber Solkoll als gemeinfrei veröffentlicht. Dies gilt weltweit. In manchen Staaten könnte dies rechtlich nicht möglich sein. Sofern dies der Fall ist: Solkoll gewährt jedem das bedingungslose Recht, dieses Werk für jedweden Zweck zu nutzen, es sei denn, Bedingungen sind gesetzlich erforderlich. More fractals from my tools: Image:Fractal dimension.jpg Image:Harter-Heighways dragon curve (IFS).jpg Image:Koch curve (L-system construction).jpg Image:Koch curve (IFS).jpg Image:Koch snowflake (RGB-CMY).jpg Image:Lévy's C-curve (IFS).jpg Image:Lévy's dragon curve (IFS).jpg Image:Mandelbrot inside (64 iters B&W).gif Image:Mandelbrot inside (64 iters colour).gif Image:Menger sponge (2D).jpg Image:Julia set (C = 0.285, 0.01).jpg Image:Julia set (C = 0.285, 0.01) II.jpg Image:Julia set (Detail 01).jpg Image:Julia set (Detail 02).jpg Image:Julia set (highres 01).jpg Image:Julia set (highres 02).jpg Image:Julia set (Rev formula 01).jpg Image:Julia set (Rev formula 02).jpg Image:Julia set (Rev formula 03).jpg Image:Julia set (Rev formula 04).gif Image:Reversed Julia set C = ( 0.4 0.3 ).gif Image:Sierpinski square.jpg Image:Sierpinski triangle (blue).jpg Image:Sierpinski triangle (RGB).jpg Image:Solkoch.jpg All fractals are from self-written tools - linear IFS images from my: "2D IFS Studio", non-linear (rev Julia) from "3D RJIFS", (that also writes 2D rev Julias), escape time Z² fractals from "Julia dream", the rest are from small "hacks". See also: Solkoll & Solkoll 3D