Karl Jones: Created page with "The '''Sierpinski triangle''' (also with the original orthography '''Sierpiński'''), also called the '''Sierpinski gasket''' or the '''Sierpinski Sieve''', is a fractal a..."

2016-09-24T02:20:02Z

Created page with "The '''Sierpinski triangle''' (also with the original orthography '''Sierpiński'''), also called the '''Sierpinski gasket''' or the '''Sierpinski Sieve''', is a fractal a..."

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The '''Sierpinski triangle''' (also with the original orthography '''Sierpiński'''), also called the '''Sierpinski gasket''' or the '''Sierpinski Sieve''', is a [[fractal]] and [[Fixed point (mathematics)|attractive fixed set]] with the overall shape of an [[equilateral triangle]], subdivided [[Recursion|recursively]] into smaller equilateral triangles.

== Description ==

Originally constructed as a [[curve]], this is one of the basic examples of [[Self-similarity|self-similar]] sets, i.e., it is a mathematically generated [[pattern]] that can be reproducible at any magnification or reduction.

It is named after the Polish mathematician [[Wacław Sierpiński]], but appeared as a decorative pattern many centuries prior to the work of Sierpiński.

== See also ==

* [[Fixed point (mathematics)]]
* [[Fractal]]
* [[Recursion]]
* [[Self-similarity]]
* [[Wacław Sierpiński]]

== External links ==

* [https://en.wikipedia.org/wiki/Sierpinski_triangle Sierpinski triangle] @ Wikipedia

[[Category:Fractals]]
[[Category:Mathematics]]

Sierpinski triangle - Revision history

Karl Jones: Created page with "The '''Sierpinski triangle''' (also with the original orthography '''Sierpiński'''), also called the '''Sierpinski gasket''' or the '''Sierpinski Sieve''', is a fractal a..."