Ahhh, Fibonacci. One of my favorite mathematical phenomena.
1 1 2 3 5 8 13 etc...
each number is the sum of the two previous numbers, and the limit of the ratio
of two numbers as the series approaches infinity solves the equation
x^2 - x - 1 = 0
what is really interesting (at least to me, the consummate math geek) is that
if you define the series as follows
i(m) = i(m-j) +i(m-k) then the limit of the ratio as the series approaches
infinity solves the equation
x^j - x^k - 1 = 0
of course, if you're not a math geek like me, you've probably already stopped
reading.
Blair
On Sun, 16 Mar 2008 16:45:46 +0100, Hfjord
<[log in to unmask]> wrote:
>So, this is the formula for a SAC solder joint?
>
>
>1 mora: S (1 pattern)
>2 morae: SS; L (2)
>3 morae: SSS, SL; LS (3)
>4 morae: SSSS, SSL, SLS; LSS, LL (5)
>5 morae: SSSSS, SSSL, SSLS, SLSS, SLL; LSSS, LSL, LLS (8)
>6 morae: SSSSSS, SSSSL, SSSLS, SSLSS, SLSSS, LSSSS, SSLL, SLSL, SLLS,
LSSL,
>LSLS, LLSS, LLL (13)
>7 morae: SSSSSSS, SSSSSL, SSSSLS, SSSLSS, SSLSSS, SLSSSS, LSSSSS,
SSSLL,
>SSLSL, SLSSL, LSSSL, SSLLS, SLSLS, LSSLS, SLLSS, LSLSS, LLSSS, SLLL,
>
>
>well, you may be right. The phases you see on my picture could be built up
>according to the old sanskrit rules. See Chandah-shàstra, the inventor of
>what will later be named Fibonacci Ratio, improved by Leonardo di Pisa.
>
>Inge
>
>
>-----Ursprungligt meddelande-----
>Från: TechNet [mailto:[log in to unmask]] För Jack Olson
>Skickat: den 16 mars 2008 02:35
>Till: [log in to unmask]
>Ämne: [TN] NTC:Friday mystery
>
>The picture represents the Fibonacci Ratio
>expressing itself in nature
>
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