

fibonacci


Mahayana

Reproduction of bees is interesting. Not all bees have two parents. We have three classes: the queen, the female workers, and the male drones. The one special fertile female  the queen. There are other females but they do not produce any eggs. The male bees are produced by the queen's unfertilized eggs (in other words  no father). The females are produced when the queen has mated with a male  therefore she has two parents. Interestingly, the family tree of a colony produces what we know as the Fibonacci sequence. A bee's ancestry fits the exact pattern. Draw out the example. great great,great gt,gt,gt grand grand grand grand Number of parents: parents: parents: parents: parents: of a MALE bee: 1 2 3 5 8 of a FEMALE bee: 2 3 5 8 13 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987 .. As you may or may not know, the Fibonacci sequence is one of the major chords played by Nature in her symphony. Everywhere one looks there is the sequence displayed: view the construction of sunflowers, pinecones, pineapples, artichokes, apples, lemons, chiles, starfish, sand dollars, the iris, buttercup, daisies, and you could go on and on. It is the proportion of living things. One author gives this definition: "The Fibonacci sequence actually begins with two terms, zero and unity, nothing and everything, the Unknowable and the manifest Monad. These are the first two terms. Their sum, another unity, is the third term. To find each next term, just add the two latest terms together. This process produces the endless series 0,1,2,3,5,8,13,21,34,55,89,144 … At first glance we see a chain of numbers. But look beyond the visible numbers to the selfaccumulating process by which they grow. The series grows by accruing terms that come from within itself, from its immediate past, taking nothing from outside the sequence for its growth. Each term may be traced back to its beginning as unity in the Monad, which itself arose from the incomprehensible mystery of zero. [principles of ongoing growthfromwithin]

030813


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smurfus rex

0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765 ______

031122


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ROFL

10946

031123


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Piso Mojado

introduced the arabic number system to europe

031124


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sweetheart of the song tra bong

I've got my bling bling and Versace Hos multiplyin like Fibonacci Put the problem on the board and the girls be screamin Hos multiplyin like a geometric sequence word.

031124


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Machiavelli

Is this a coincidence under the theory of Omega? Is the Fibonacci sequence really just a constant, like the gravitational constant, that manifest in another world (could)would take on an entirely different form? Fibonacci sequences may exist in every dimension, but exist as 11235 only in ours. Thus, somewhere, a 2246 10 ancestry tree may exist, and it is exactly the same. interesting

040305


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u24

123581321

040420


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not found

in music Tool's song "Lateralus", features the Fibonacci sequence symbolically in the verses of the song. The syllables in the first verse count 1, 1, 2, 3, 5, 8, 5, 3, 13, 8, 5, 3. The missing section (2, 1, 1, 2, 3, 5, 8) is later filled in during the second verse. Counting between pauses, the syllables in Maynard James Keenan's vocals during the verses form the first few Fibonacci numbers, ascending and descending: (1) Black, (1) then, (2) white are, (3) all I see, (5) in my infancy, (8) red and yellow then came to be, (5) reaching out to me, (3) lets me see. (2) There is, (1) so, (1) much, (2) more and (3) beckons me, (5) to look through to these, (8) infinite possibilities. (13) As below so above and beyond I imagine, (8) drawn outside the lines of reason. (5) Push the envelope. (3) Watch it bend. The Fibonacci sequence shares a relationship with spirals, which are mentioned several times later in the lyrics. Additionally, Keenan begins singing at 1:37 into the song. 1 minute 37 seconds, or 97 seconds, is approximately 1.618 of a full minute. This happens to be the golden ratio, which is closely related to the Fibonacci sequence. The time signatures of the chorus change from 9/8 to 8/8 to 7/8; as drummer Danny Carey says, "It was originally titled 987. For the time signatures. Then it turned out that 987 was the 17th number of the Fibonacci sequence. So that was cool." Source ( en.wikipedia.org/wiki/Lateralus_(song) )

090213


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jane

another reason i want to marry maynard

090213



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