Sierpinski Triangle Applications












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Sierpinski triangles seem to be a pretty common fractal. After lots of searching, I can't seem to find where you find this pattern in nature or technology. Are there any examples in nature? What about technology? For technology, these does seem to be something with cellular automata, but is that how you make it, or does it have a roll to play in that?



Anything else interesting about it?



Thanks










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  • $begingroup$
    en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
    $endgroup$
    – Wojowu
    Nov 1 '15 at 15:18
















2












$begingroup$


Sierpinski triangles seem to be a pretty common fractal. After lots of searching, I can't seem to find where you find this pattern in nature or technology. Are there any examples in nature? What about technology? For technology, these does seem to be something with cellular automata, but is that how you make it, or does it have a roll to play in that?



Anything else interesting about it?



Thanks










share|cite|improve this question









$endgroup$












  • $begingroup$
    en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
    $endgroup$
    – Wojowu
    Nov 1 '15 at 15:18














2












2








2


0



$begingroup$


Sierpinski triangles seem to be a pretty common fractal. After lots of searching, I can't seem to find where you find this pattern in nature or technology. Are there any examples in nature? What about technology? For technology, these does seem to be something with cellular automata, but is that how you make it, or does it have a roll to play in that?



Anything else interesting about it?



Thanks










share|cite|improve this question









$endgroup$




Sierpinski triangles seem to be a pretty common fractal. After lots of searching, I can't seem to find where you find this pattern in nature or technology. Are there any examples in nature? What about technology? For technology, these does seem to be something with cellular automata, but is that how you make it, or does it have a roll to play in that?



Anything else interesting about it?



Thanks







geometry triangle






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asked Oct 31 '15 at 16:44









APCodingAPCoding

1514




1514












  • $begingroup$
    en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
    $endgroup$
    – Wojowu
    Nov 1 '15 at 15:18


















  • $begingroup$
    en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
    $endgroup$
    – Wojowu
    Nov 1 '15 at 15:18
















$begingroup$
en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
$endgroup$
– Wojowu
Nov 1 '15 at 15:18




$begingroup$
en.wikipedia.org/wiki/Sierpi%C5%84ski_curve#Uses_of_the_curve
$endgroup$
– Wojowu
Nov 1 '15 at 15:18










1 Answer
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$begingroup$

Well, strict mathematical fractals don't exists in Nature or in reality, because their infiniteness would yield various paradox while the physical world is finite (e.g. at some point you get atoms).
And basic mathematical fractals are too regular for Nature, where fractal-like patterns have more irregular variations.



Still, Pascal triangle with modulo looks quite like Sierpinski triangle, and some cell phone ultra-compact antenna are not without similarities.



Also, systems to amortise energy at all frequencies (sound, water waves) have more or less fractal shape.



NB: I won't say "cellular automata" are a "technology".






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    1 Answer
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    $begingroup$

    Well, strict mathematical fractals don't exists in Nature or in reality, because their infiniteness would yield various paradox while the physical world is finite (e.g. at some point you get atoms).
    And basic mathematical fractals are too regular for Nature, where fractal-like patterns have more irregular variations.



    Still, Pascal triangle with modulo looks quite like Sierpinski triangle, and some cell phone ultra-compact antenna are not without similarities.



    Also, systems to amortise energy at all frequencies (sound, water waves) have more or less fractal shape.



    NB: I won't say "cellular automata" are a "technology".






    share|cite|improve this answer









    $endgroup$


















      0












      $begingroup$

      Well, strict mathematical fractals don't exists in Nature or in reality, because their infiniteness would yield various paradox while the physical world is finite (e.g. at some point you get atoms).
      And basic mathematical fractals are too regular for Nature, where fractal-like patterns have more irregular variations.



      Still, Pascal triangle with modulo looks quite like Sierpinski triangle, and some cell phone ultra-compact antenna are not without similarities.



      Also, systems to amortise energy at all frequencies (sound, water waves) have more or less fractal shape.



      NB: I won't say "cellular automata" are a "technology".






      share|cite|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$

        Well, strict mathematical fractals don't exists in Nature or in reality, because their infiniteness would yield various paradox while the physical world is finite (e.g. at some point you get atoms).
        And basic mathematical fractals are too regular for Nature, where fractal-like patterns have more irregular variations.



        Still, Pascal triangle with modulo looks quite like Sierpinski triangle, and some cell phone ultra-compact antenna are not without similarities.



        Also, systems to amortise energy at all frequencies (sound, water waves) have more or less fractal shape.



        NB: I won't say "cellular automata" are a "technology".






        share|cite|improve this answer









        $endgroup$



        Well, strict mathematical fractals don't exists in Nature or in reality, because their infiniteness would yield various paradox while the physical world is finite (e.g. at some point you get atoms).
        And basic mathematical fractals are too regular for Nature, where fractal-like patterns have more irregular variations.



        Still, Pascal triangle with modulo looks quite like Sierpinski triangle, and some cell phone ultra-compact antenna are not without similarities.



        Also, systems to amortise energy at all frequencies (sound, water waves) have more or less fractal shape.



        NB: I won't say "cellular automata" are a "technology".







        share|cite|improve this answer












        share|cite|improve this answer



        share|cite|improve this answer










        answered Oct 31 '15 at 17:16









        Fabrice NEYRETFabrice NEYRET

        864313




        864313






























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