Editing Fractal art (section)

==Landscapes==
{{main|Fractal landscape}}
[[Image:Mandelbrot island.jpg|thumb|A 3D landscape generated with [[Terragen]], using the Mandelbrot set]]
The first fractal image that was intended to be a work of art was probably the famous one on the cover of ''[[Scientific American]]'', August 1985. This image showed a [[landscape]] formed from the potential function on the domain outside the (usual) [[Mandelbrot set]]. However, as the potential function grows fast near the boundary of the Mandelbrot set, it was necessary for the creator to let the landscape grow downwards, so that it looked as if the Mandelbrot set was a [[plateau]] atop a mountain with steep sides. The same technique was used a year after in some images in ''[[The Beauty of Fractals]]'' by [[Heinz-Otto Peitgen]] and [[Michael M. Richter]]. They provide a formula to estimate the distance from a point outside the Mandelbrot set to the boundary of the Mandelbrot set (and a similar formula for the Julia sets). Landscapes can, for example, be formed from the distance function for a family of iterations of the form <math>z^{2} + az^{4} + c</math>.