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Amazing Fractals Flames

Fractal flames are a member of the iterated function system class of fractals created by Scott Draves in 1992.

Fractal flames differ from ordinary iterated function systems in three ways:

Nonlinear functions are iterated instead of affine transforms.
Log-density display instead of linear or binary (a form of tone mapping)
Colour by structure (i.e. by the recursive path taken) instead of monochrome or by density.

The tone mapping and colouring are designed to display as much of the detail of the fractal as possible, which generally results in a more aesthetically pleasing image.

Amazing Fractals Flames