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.]]{{proofread}}

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

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.

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 with those smaller branches branching into even 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.

Fractals are related to the field of [[psychonautics]] due to the fact that they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. Fractal 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.

===Examples===

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-[[File:SierpinskiTriangle.PNG|thumbnail|A [http://simple.wikipedia.org/wiki/Sierpinski_triangle Sierpinski triangle] fractal, after 7 iterations.]]{{proofread}}
+[[File:SierpinskiTriangle.PNG|thumbnail|A [http://simple.wikipedia.org/wiki/Sierpinski_triangle Sierpinski triangle] fractal after 7 iterations.]]{{proofread}}
-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.
+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 with those smaller branches branching into even 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.
+Fractals are related to the field of [[psychonautics]] due to the fact that they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. Fractal 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.
 ===Examples===
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