Fractals in Nature

By Somali K Chakrabarti

 

Fractals in Nature

Spiral shells, florets,

petals, ornate leaf patterns, 

Creator’s art; fractals

in nature, beauty chiseled in 

the precision of equation

A fractal is a repetitive pattern that reveals a similar pattern when it is enlarged. Fractal patterns can be seen in nature – in plants, growth patterns of leaves, spiral shells, river beds, blood vessels, galaxies and more.

The  word “fractal” was coined by Mandelbrot in 1975. A fractal pattern explained as a mathematical concept, is a pattern that repeats itself like a recursive formula. Fractal patterns are modeled using fractal generating software.

A Tanka is a Japanese poem consisting of 31 syllables in 5 lines, with 5 syllables in the first and third lines and 7 in the others.

 

Lei: A wreath for your soul, is a string of short/micro poems meant to celebrate nature, life, generate positivism, inspire, and rejuvenate the Soul.

Lei

 

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34 thoughts on “Fractals in Nature

  • October 2, 2015 at 8:57 am
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    Patterns indeed are signature of life, past patterns provides trends to future prospects of life…the diversity of patterns in nature provides new insights for innovation and developing newer methods to make life and living better. It is just not about the beauty but about the design and the design of means and modes of looking at life. Nature is the epicenter of creativity and art gets its wings from the power of nature…the fashion we see in the apparels has it genesis from the nature and the designers get their ideas from the nature’s gallery which keep changing season after season and from one geographic location to another…and there is no dearth of patterns in our nature.

    Loved this creative perspective.
    Have a lovely long weekend.

    By the way, today it is special day for us Indians, we shouldn’t forget the patterns he created to change the course of our country and we all are indebted to his immeasurable contribution…Happy Gandhi Jayanti!!!

    Reply
    • October 2, 2015 at 9:08 am
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      A very Happy Gandhi Jayanti Nihar.

      Let me thank you for sharing these wonderful thoughts.
      Patterns are everywhere, it just needs keen eyes to discern them. Patterns in past are indicative of the future.Big data too is all about deciphering the patterns. Yet nothing can beat the patterns created by the master creator. In petals, in galaxies, in blood vessels, in river beds we see these patterns.
      And yes the patterns of change created by the Mahatma have not only shaped the course of our country but given new perspectives to the world. 🙂

      Reply
      • October 2, 2015 at 9:22 am
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        Big Data, yes indeed it going to change the way we look at the world. The patterns that are hidden in these store house of data getting generated every minute, once discovered will make the world a different place to live. I agree nothing can ever beat the master creator…the nature.
        We are all blessed to have Mahatma in our land…who else would have brought the change he brought in the millions of minds and his thought continues to influence every generation…his thoughts were generation ahead.
        😀

        Reply
        • October 2, 2015 at 9:35 am
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          True Nihar. Today also happens to be the birthday of Lal Bahadur Shastri. Another great leader – the epitome of simplicity and selflessness. 😀

          Reply
          • October 2, 2015 at 9:38 am
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            Yes Somali, another great leader, just slipped from my memory, thanks for reminding…both of them brought a new meaning to “simplicity and selflessness”, so much to learn from them and we do so little, an irony of our life.
            😀

  • October 2, 2015 at 10:33 am
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    Your poem is simply superb comprised of artistic combination of words .I would like to quote from Swami Vivekananda. He mentioned, “There is only one world ,and this one world and one life is appearing to us as manifold.”

    Reply
  • October 2, 2015 at 10:45 am
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    Thanks for telling us what fractal is Somali, I have been often wondering about what it is, one of my friends creates fantastic artworks with them.

    Nature is who made artists 🙂 so no wonder she is always enviably perfect.

    Reply
    • October 2, 2015 at 11:28 am
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      Thanks Sharmishta, True nature created artists and the endeavor to understand nature created science. Fractal artworks are beautiful . Think of the kaleidoscope patterns. 🙂

      Reply
  • October 2, 2015 at 2:50 pm
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    Nature is the best designer I have ever seen and also the one for precision. Watching the waves of the ocean or seeing the snow (the structure) of our beautiful Himalayas, we cannot just help admiring the beauty of nature and its presentation. Wish our academics delve on teaching children to appreciate than memorize we would have more enlightened kids in future. Happy to link with you.

    Best
    Katie

    Reply
    • October 3, 2015 at 10:31 pm
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      Thank you Katie. True that nature works with mathematical precision, and such examples can make the subject interesting for children. 🙂

      Reply
  • October 2, 2015 at 7:04 pm
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    wow… I didnt know much about fractals! 🙂 Thanks Somali…

    Reply
  • October 2, 2015 at 7:51 pm
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    Hi Somali,

    I have always believed and even said a number of times that language is an ocean, we cannot have more than a drop ben after diving deep. Having seen all those circular patterns all around us, I must confess I have never tried to know what is fractal! Thanks for the enlightenment dear friend, my morning seems pleasanter.

    Love those images and the poetry. Warm wishes for remembering two great leaders.

    Reply
    • October 3, 2015 at 10:18 pm
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      Thank you Balroop. There’s never any end to learning, and it’s nice that through our interactions we keep learning from each other. 🙂

      Reply
  • October 3, 2015 at 9:13 pm
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    My math teacher had said about this and am glad that you shared it here. Maths is every where. Our ancestors used mathematics profusely without knowing about it, as an art. Wish maths flourishes in India more than today. Nice post 🙂

    Reply
    • October 3, 2015 at 10:24 pm
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      Thank you for stopping by. Math, if taught, with real examples can actually be made pretty interesting.

      Reply
  • October 6, 2015 at 10:48 am
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    OMG.Once again you rock.You have played it very well with the words.<3<3<3.

    Cheers,
    Sriram & Krithiga

    Reply
  • October 8, 2015 at 1:48 am
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    Nature is the ultimate artist and she makes flawless intricate artifacts….everywhere… 🙂 our life follows a pattern too, it is intangible but definitely is there …you’ve glorified Mother Nature so nicely in this tanka… 🙂

    Reply
  • October 9, 2015 at 4:35 pm
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    This is an excellent post, my friend…
    And very neat to find the Fibonacci sequence among fractals in Nature…
    Thanks so much for sharing. Sending best wishes. Aquileana 🐉☀️

    Reply
  • October 14, 2015 at 2:15 pm
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    Thanks for telling us what fractal is Somali Ji. Actually the all creation of almighty God are so beautiful and so amazing to understand.

    Reply

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