Fractal: Difference between revisions

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[[File:SierpinskiTriangle.PNG|thumbnail|A [http://simple.wikipedia.org/wiki/Sierpinski_triangle Sierpinski triangle] fractal, after 7 iterations.]]

A '''fractal''' is any equation or pattern, that when seen as an image, produces a picture, which can be zoomed into infinity and will still produce the same picture. It can be cut into parts which look quite like a smaller version of the set that was started with. A simple example is a tree that branches infinitely into smaller branches, and those branches into smaller branches and so on~~. Fractals are not only beautiful, but also have many practical applications~~.

A '''fractal''' is any equation or pattern, that when seen as an image, produces a picture, which can be zoomed into infinity and will still produce the same picture. It can be cut into parts which look quite like a smaller version of the set that was started with. A simple example is a tree that branches infinitely into smaller branches, and those branches into smaller branches and so on.

The relevance of fractals within [[psychonautics]] are that they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. Fractals images with mathematics are generated through recursive formulas that infinitely repeat an image over itself in a self similar way. It could therefore be speculated that the fractals one sees within psychedelic geometry are generated through a similar recursive looping system which is reinterpreting the same visual stimuli multiple times on top of itself, thus causing geometry to flower out into distinctive fractal structures.

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 [[File:SierpinskiTriangle.PNG|thumbnail|A [http://simple.wikipedia.org/wiki/Sierpinski_triangle Sierpinski triangle] fractal, after 7 iterations.]]
-A '''fractal''' is any equation or pattern, that when seen as an image, produces a picture, which can be zoomed into infinity and will still produce the same picture. It can be cut into parts which look quite like a smaller version of the set that was started with. A simple example is a tree that branches infinitely into smaller branches, and those branches into smaller branches and so on. Fractals are not only beautiful, but also have many practical applications.
+A '''fractal''' is any equation or pattern, that when seen as an image, produces a picture, which can be zoomed into infinity and will still produce the same picture. It can be cut into parts which look quite like a smaller version of the set that was started with. A simple example is a tree that branches infinitely into smaller branches, and those branches into smaller branches and so on.
 The relevance of fractals within [[psychonautics]] are that they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. Fractals images with mathematics are generated through recursive formulas that infinitely repeat an image over itself in a self similar way. It could therefore be speculated that the fractals one sees within psychedelic geometry are generated through a similar recursive looping system which is reinterpreting the same visual stimuli multiple times on top of itself, thus causing geometry to flower out into distinctive fractal structures.