1. Mandelbrot z = z² + coord. + const.
2. Julia z = z² + const.
3. Burning Ship z = |z² + coord + const.|
4. Newton f(z) = const. * (z³ - 2z + 2), (const. = real number)
5. Newton f(z) = z³ - 1
6. Newton f(z) = z⁴ - 1
7. Newton f(z) = z⁶ + z³ - 1
8. Rational Map z = z² + lambda/z + const.
9. Rational Map z = |z² + lambda/z + const.|
10. Rational Map z = |z² + lambda/z² + const.|
11. Biomorph1 z = z^z + const.
12. Biomorph2 z = sin(z) + const.
13. Biomorph3 z = e^y*(1/|tan(x)| + |sin(x)|i) + const.
14. Biomorph4 z = e^z + const.
15. Biomorph5 z = e^x*(sin(y-Pi/4) + sin(y+Pi/4)i) + const.
16. Biomorph6 z = i*e^z + const.
17. Biomorph7 z = z³ + const.
Newton iteration: z = z - f(z)/f'(z)
f(z) = (z-root1)^const.*(z-root2)*...*(z-rootn)
const. = arbitrary complex number, i.e. mutation.
lambda = arbitrary complex number, i.e. rational map mutation.
Raster image (from dropdown or loaded from external source) is shown by using orbit trap method to select the pixel.
Normally, only the "inside", i.e. the set itself, is textured.
If "ghost" is selected, also the outside points get orbit trapped.
If "deep" is selected, the trapping is started from the point where the original iteration finished.
Texture effects: Alpha blending with adjustable transparency, size, offset.
Newton fractals use additional base colors to indicate which root is approached when iterating.
Biomorph fractals use additional base colors to indicate if x, y or length(xy) goes over the given iteration limit.
Effects: Adjustable speeds for palette and bands. Also check out "Adjust/post processing" tab.
"Mutation" is a complex number, that can be varied manually from coarse/fine sliders.
Set speed to nonzero value from sliders or left/right buttons, and press start/pause button.
2 different auto modes available, "phased" (sin(speed*time)) and randomwalk, where randomisation degree can be adjusted (spread angle).
This has effect only when Rational Map fractal type is selected. The lambda parameter (complex number) is varied.
Rotate manually from slider (or touchscreen), or set speed to nonzero.
Automatic rotation goes about 2 full rounds and changes direction automatically.
Spiral mode twists the coordinate system locally to spiral like geometry.
Different pulse types and adjustable bpm available.
Select one type, and connect one or multiple variables to that, adjustable pulse amplitude is common to all variables.
Post-processing adjustments: hue, saturation, lightness, brightness and contrast.
Pressing the button will copy to clipboard an URL that points to the current view. Unfortunately, custom textures are not shared.
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