Julia set, a fractal. Here created using the reversed formula in an iterated function system.

Formula used:

${\displaystyle z_{n+1}={\sqrt {z_{n}-c}}}$

One of the two roots is selected at random and then after a number of pre-iterations (10-20) the position of ${\displaystyle Z}$ is constantly plotted after each iteration. The method is very much like the "random game" IFS method.

See also:

• w:en:Julia set

Image: User:Solkoll. Public domainPublic domainfalsefalse 本作品已被作者Solkoll释出到公有领域。这适用于全世界。 在一些国家这可能不合法；如果是这样的话，那么： Solkoll无条件地授予任何人以任何目的使用本作品的权利，除非这些条件是法律规定所必需的。 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3D 这个file中的所有图片名上传在JPEG格式，即使它包含非照片数据。该信息可以以PNG或SVG格式更有效或更准确地存储。如果可能，请上传此图像的PNG或SVG版本，没有压缩失真，源自非JPEG源（或去除现存的失真）。完成后，请使用{{Superseded|NewImage.ext}}标记JPEG版本并删除此标记。此标签不应应用于照片或扫描件。如需更多信息，请参阅{{BadJPEG}}。