Chambered Nautilus Shell - detail

Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa (Fibonacci) and the Renaissance astronomer Johannes Kepler, to present-day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties. But the fascination with the Golden Ratio is not confined just to mathematicians. Biologists, artists, musicians, historians, architects, psychologists, and even mystics have pondered and debated the basis of its ubiquity and appeal. In fact, it is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics.


Mario Livio, The Golden Ratio: The Story of Phi, The World's Most Astonishing Number


See also this short movie which does a nice job of explaining the shell's relationship to Fibonacci by using animation

  • biotron 7y

    marvellous :)
  • jerryfi_99 7y

    That's an interesting shot. Thanks.
  • cheryl_kim 6y

  • snoweagle1626 5y

    Hi; I'm an author and am looking for a good pix of a nautilus shell to demonstrate the Fibonacci concept. Could I use your photo? Julie
  • Jitze Couperus 5y


    I sent you a reply by Flickrmail - I'd be happy if you can use this picture
  • jaymasood 5y

    Thank you for sharing this great shot under Creative Commons license.

    I have used it in my non-profit, ads free blog - Travelogue of an Armchair Traveller and have given due credit to you.
  • VellemanTutor 4y

    Thank you for sharing this beautiful shot. Can I use it on my math tutoring webpage? My goal is to inspire teens to stick with their higher math studies and help them become more confident mathematicians.

  • Jitze Couperus 4y

    @VellemanTutor - Absolutely, I'd be delighted if you could use it and maybe inspire some budding Feinman!
  • parfitt123 4y

    Great photo, thanks! I used it here
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Taken on December 3, 2008
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