The Mandelbrot set is named after the pioneer in fractal theory Benoit Mandelbrot. The set is a two dimensional fractal obtained from studying the convergence of the sequence:

and is defined as all complex values of C that makes (1) bounded for all n.

The Mandelbrot wallpapers are simply obtained by iterating (1) pixel by pixel, starting with z

Mandelbrot Blue [1024x768]

Mandelbrot Blue [1280x800]

Mandelbrot Blue [1366x768]

Mandelbrot Blue [1440x900]

Mandelbrot Grey [1024x768]

Mandelbrot Grey [1280x800]

Mandelbrot Grey [1366x768]

Mandelbrot Grey [1440x900]

Mandelbrot Hot [1024x768]

Mandelbrot Hot [1280x800]

Mandelbrot Hot [1366x768]

Mandelbrot Hot [1440x900]

Mandelbrot Orange [1024x768]

Mandelbrot Orange [1280x800]

Mandelbrot Orange [1366x768]

Mandelbrot Orange [1440x900]

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Z

_{n+1}= Z_{n}^{2}+ C (1)and is defined as all complex values of C that makes (1) bounded for all n.

The Mandelbrot wallpapers are simply obtained by iterating (1) pixel by pixel, starting with z

_{0}= 0. If the sequence stays bounded after a large number of iterations it is assumed that the sequence is bounded and that the present pixel value is in the Mandelbrot set and is then colored black. If the sequence diverge then the pixel is colored according to how fast the divergence is. Below are different color maps used for the visualization.### Mandelbrot set Blue

**Download wallpaper:**

Mandelbrot Blue [1024x768]

Mandelbrot Blue [1280x800]

Mandelbrot Blue [1366x768]

Mandelbrot Blue [1440x900]

### Mandelbrot set Grey

**Download wallpaper:**

Mandelbrot Grey [1024x768]

Mandelbrot Grey [1280x800]

Mandelbrot Grey [1366x768]

Mandelbrot Grey [1440x900]

### Mandelbrot set Hot

**Download wallpaper:**

Mandelbrot Hot [1024x768]

Mandelbrot Hot [1280x800]

Mandelbrot Hot [1366x768]

Mandelbrot Hot [1440x900]

### Mandelbrot set Orange

**Download wallpaper:**

Mandelbrot Orange [1024x768]

Mandelbrot Orange [1280x800]

Mandelbrot Orange [1366x768]

Mandelbrot Orange [1440x900]

### Mandelbrot set Black/White

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