muses of the moment

February 23, 2013

Fibonacci

Filed under: Credit Derivatives, Economic Crisis, Odds 'n ends, The Dollar Crisis, The Financial Crisis — totallygroovygirlfriday @ 1:48 am

Here are beautiful examples of Fibonacci in Nature.

The Fibonacci is thought to be the design of least resistance. That is why it can relate to investing and the movement of capital from investment to investment.

Fibonacci numbers are exponential.

Therefore, they explain the bubble mentality of investing, which is an example of the path of least resistance.

Click here. The “bear trap” to the “new paradigm” is an exponential function. “Fear” on the way down is an exponential function in reverse. Also referred to as a “hockey stick”.

These theories are the easiest to see in long-term business cycles.

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3 Comments »

  1. http://books.google.com/books?ei=h7koUdOFMYyq0AHG14CYBA&id=Qq4gAAAAMAAJ&dq=jay+hambidge&jtp=12

    http://books.google.com/books?ei=h7koUdOFMYyq0AHG14CYBA&id=Qq4gAAAAMAAJ&dq=jay+hambidge&jtp=17
    (note reference to eleventh proposition of the second book of Euclid)

    Jay Hambidge in the 1920s described “Dynamic Symmetry” and the “Whirling Square” being found in the Greek vase, the Parthenon, and in nature (like the shell and the sunflower head). The Dover reprint cover has an unfortunate, misleading illustration of static symmetry.

    Comment by C. D. — February 23, 2013 @ 10:58 am

  2. CD,

    Thanks for the links, I am going to check these books out.

    gg

    Comment by totallygroovygirlfriday — February 24, 2013 @ 1:20 pm

  3. The Persian architects Acheminid and Sassanid are said by Matila Ghyka to have used the 3-4-5 triangle in elliptical domes.

    See footnote on page 22 and figure 21 on page 23 for convincing information about how surveyors and builders would naturally have come upon proportionality that we describe with repeating decimals.

    http://books.google.com/books?id=vgq2UNsV9swC&printsec=frontcover&dq=geometry+of+art+and+life&hl=en&sa=X&ei=KToqUdyVO8W00AGHrYDoDA&ved=0CDAQ6AEwAA#v=onepage&q&f=false

    Your observation about “the line of least resistance” provides an insight about organic growth. Thank you for that.

    I can offer nothing about the application of these proportions to economics, but I can make an interesting observation about structure from my experiments with paper and compass. The Persian elliptical dome mentioned above, and Brunelleschi’s “a quinto acuto” dome in Florence have very similar height-to-width profile. These structures tend to endure.

    Comment by C. D. — February 24, 2013 @ 2:10 pm


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