Iteration

From metawiki
Revision as of 07:41, 6 February 2024 by Fractalguy (talk | contribs) (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...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

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 replacement-based fractals like the tree of knowledge, an iteration is one replacement of each branch with the base trunk+branch pattern.

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.