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Countdown with sNarah - Part 2: Fibonacci

  • #1
    Registered Users Posts: 4,570 sNarah


    In mathematics, the Fibonacci numbers or Fibonacci series or Fibonacci sequence are the numbers in the following integer sequence:[1][2]
    cabe91689f6a1af616ace02827c6e89c.png (sequence A000045 in OEIS) By definition, the first two numbers in the Fibonacci sequence are 0 and 1, and each subsequent number is the sum of the previous two.
    In mathematical terms, the sequence Fn of Fibonacci numbers is defined by the recurrence relation.


    IT IS ALSO KNOWN BY sNARAH AS THE MOST BEAUTIFULL SEQUENCE IN THE WHOLE WORLD APART FROM SARKY'S YOU-KNOW-WHAT BUT WE'LL ELABORATE ON THAT LATER.


    The sequence also forms the perfect spiral, I kid you not, like so:
    270px-Fibonacci_spiral_34.svg.png

    In an even more amazing twist of events, they form the sideline of Pascal's triangle (REALLY!)
    540px-PascalTriangleFibanacci.svg.png

    This off course brings us to PHI, also PIE, which we all celebrate on March 14th. You didn't? Suck it bitch. You loose. We had pie and perfectly cut pizza slices. WHAT DID YOU DO?

    [FONT=Arial, Helvetica, sans-serif]Image12.gif[/FONT]

    Phi is BEAUUUTTIFULLLL and also takes part in PERFECT snuggly golden spirals. Like so:
    [FONT=Verdana, Arial, Helvetica, sans-serif]ø[/FONT][FONT=Verdana, Arial, Helvetica, sans-serif] PHI: The Golden Ratio or Golden Section[/FONT][FONT=Verdana, Arial, Helvetica, sans-serif] [/FONT][FONT=Verdana, Arial, Helvetica, sans-serif]
    (In Nature, Art, Science and Religion)
    [/FONT][FONT=Verdana, Arial, Helvetica, sans-serif]
    [/FONT][FONT=Arial, Helvetica, sans-serif]phirect.gif[/FONT][FONT=Verdana, Arial, Helvetica, sans-serif]
    [/FONT]
    [FONT=Arial, Helvetica, sans-serif] The Golden Section is a unique Ratio (or relationship between parts)
    that seems to be preferred by Nature
    as the best geometry for growth, energy conservation, elegance and has some
    fundamental relationships to the platonic solids and the Mandelbrot set.

    It was formally discovered by the Greeks and incorporated into their art and architecture, but it has been shown to occur even in prehistoric art, possibly as a function of Man's natural affinity for it's beauty.

    GoldenMean-03A.jpg
    The rectangle at left has a vertical edge length of 1
    the horizontal or width of the rectangle is 1.618
    If we make a line inside and form a square (far left)
    it creates another 'golden rectangle' (at right)

    this subdivision continues inward in a spiral fashion tracing the form of a perfect PHI spiral seen in galaxies, seashells ....





    This also occurs in nature TRUE STORY, I kid you not my mathematical minions, see:
    [/FONT]
    [FONT=Verdana, Arial, Helvetica, sans-serif]ear-spiral.jpg
    Phi Spiral of the Ear
    [/FONT]
    [FONT=Verdana, Arial, Helvetica, sans-serif]Phi-finger.jpg[/FONT]
    teeth.jpg
    Phi proportions in teeth and lips
    [FONT=Verdana, Arial, Helvetica, sans-serif]Phi Proportions in Faces are used for
    creating realistic results in cosmetic surgery ...
    [/FONT][FONT=Verdana, Arial, Helvetica, sans-serif]
    faceside.gif[/FONT]
    [FONT=Arial, Helvetica, sans-serif][FONT=Verdana, Arial, Helvetica, sans-serif]Potential Relationships in
    Penta-Phi Matrix Reveal A Face
    [/FONT][FONT=Verdana, Arial, Helvetica, sans-serif]
    marquardt2.gif [/FONT][/FONT]


    AMAZING huh?

    Stay tuned now for your next countdown with auntie sNarah ♥


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