Fractal: Difference between revisions

(15 intermediate revisions by 3 users not shown)

Line 1:

~~{{Stub}}~~

[[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 with those smaller branches branching into even smaller branches and so on.

~~The relevance~~ of ~~fractals within~~ [[psychonautics]] ~~are because~~ they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. ~~Within~~ mathematics~~, fractals~~ are generated through recursive formulas that infinitely repeat an image over itself in a self similar way. ~~Therefore, it~~ could 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, causing ~~pre-existing~~ 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===

~~<center>~~

{{~~#ask:~~

[[Effect::Geometry]] [[~~Effect:~~:Fractals]]

~~|?caption~~

~~|captionproperty=caption~~

~~|format=gallery~~

~~|widget=carousel~~

~~|widths=300~~

~~|perrow=3~~

~~|order=random~~

~~|limit=100~~

}}

~~</center>~~

===See also===

*[[~~psychedelic~~]]

*[[Responsible use]]

*[[~~hallucinogen~~]]

*[[Psychedelic]]

*[[Hallucinogen]]

*[[LSD]]

@@ Line 1: / Line 1: @@
-{{Stub}}
+[[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 with those smaller branches branching into even smaller branches and so on.
-The relevance of fractals within [[psychonautics]] are because they are an extremely common component embedded within the visual experience of [[psychedelic]] [[geometry]]. Within mathematics, fractals are generated through recursive formulas that infinitely repeat an image over itself in a self similar way. Therefore, it could 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, causing pre-existing 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===
-<center>
+{{Gallery|[[Effect::Geometry]][[Category:Fractals]]}}
-{{#ask:
- [[Effect::Geometry]] [[Effect::Fractals]]
- |?caption
- |captionproperty=caption
- |format=gallery
- |widget=carousel
- |widths=300
- |perrow=3
- |order=random
- |limit=100
-}}
-</center>
 ===See also===
-*[[psychedelic]]
+*[[Responsible use]]
-*[[hallucinogen]]
+*[[Psychedelic]]
+*[[Hallucinogen]]
 *[[LSD]]