Fractalguy: Created page with "Each time the fractal generating equation is calculated is an iteration. A cycling color scheme maps the number of iterations in each pixel to a color to produce the pattern you see. In the Mandelbrot set, for every pixel you must calculate f(z) = z^2 + c over and over again until z becomes either zero or infinity, each of which can take thousands of iterations. In re..."

2024-02-06T11:41:21Z

Created page with "Each time the fractal generating equation is calculated is an iteration. thumb|A cycling color scheme maps the number of iterations in each pixel to a color to produce the pattern you see. In the Mandelbrot set, for every pixel you must calculate f(z) = z^2 + c over and over again until z becomes either zero or infinity, each of which can take thousands of iterations. In re..."

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Each time the [[fractal]] [[generating equation]] is calculated is an [[wikipedia:Iteration|iteration]].
[[File:Mandelbrot Fractal Zoom.gif|thumb|A cycling color scheme maps the number of iterations in each pixel to a color to produce the pattern you see.]]
In the [[wikipedia:Mandelbrot_set|Mandelbrot set]], for every pixel you must calculate f(z) = z^2 + c over and over again until z becomes either zero or infinity, each of which can take thousands of iterations.

In replacement-based [[fractals]] like the [[tree of knowledge]], an iteration is one replacement of each branch with the base trunk+branch pattern.
[[File:Fractal-tree-of-knowledge-iteration-4-brains-ethics-morality.png|thumb|Each iteration replaces every sub-branch with a smaller copy of the original trunk and branch.]]
In the [[universe]], an iteration is a single moment in [[time]] where the [[laws of physics]] are applied to every atom in existence, resulting in the next moment in [[time]].

Iteration - Revision history