Sierpiล„ski triangle

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Revision as of 12:11, 30 August 2025
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[td][[File:Random Sierpinski Triangle animation.gif|thumb|Generated using a random algorithm]][/td]
[td][[File:Random Sierpinski Triangle animation.gif|thumb|Generated using a random algorithm]][/td]
[td][[File:Variadic logical AND.svg|thumb|Sierpiล„ski triangle in logic: The first 16 [[Logical conjunction|conjunctions]] of [[Lexicographical order|lexicographically]] ordered arguments. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51... {{OEIS|A001317}}]][/td]
[td][[File:Variadic logical AND.svg|thumb|Sierpiล„ski triangle in logic: The first 16 [[Logical conjunction|conjunctions]] of [[Lexicographical order|lexicographically]] ordered arguments. The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51... {{OEIS|A001317}}]][/td]
[td]The '''Sierpiล„ski triangle''', also called the '''Sierpiล„ski gasket''' or '''Sierpiล„ski sieve''', is a [[fractal]] with the overall shape of an [[equilateral triangle]], subdivided [[recursion|recursively]] into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of [[self-similarity|self-similar]] setsโ€”that is, it is a mathematically generated pattern reproducible at any magnification or reduction. It is named after the Polish mathematician [[Wacล‚aw Sierpiล„ski]] but appeared as a decorative pattern many centuries before the work of Sierpiล„ski. Itโ€™s implied he was inspired by the triforce from Zelda.[/td]
[td]The '''Sierpiล„ski triangle''', also called the '''Sierpiล„ski gasket''' or '''Sierpiล„ski sieve''', is a [[fractal]] with the overall shape of an [[equilateral triangle]], subdivided [[recursion|recursively]] into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of [[self-similarity|self-similar]] setsโ€”that is, it is a mathematically generated pattern reproducible at any magnification or reduction. It is named after the Polish mathematician [[Wacล‚aw Sierpiล„ski]] but appeared as a decorative pattern many centuries before the work of Sierpiล„ski.[/td]
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[td]== Constructions ==[/td]
[td]== Constructions ==[/td]

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