6 F 5 F 4 F 3 F 2 F 1 F F 1 F 2 F 3 F 4 F 5 F 6 F 7 F 8 21 13 8 5 3 2 1 1 1 1 2

6 f 5 f 4 f 3 f 2 f 1 f f 1 f 2 f 3 f 4 f 5 f 6 f 7 f

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−6 F −5 F −4 F −3 F −2 F −1 F 0 F 1 F 2 F 3 F 4 F 5 F 6 F 7 F 8 −21 13 −8 5 −3 2 −1 1 0 1 1 2 3 5 8 13 21 Fibonacci’s Number in Nature The Fibonacci numbers are Nature's numbering system They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind. Why do these arrangements occur?
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o In the case of leaf arrangement, or phyllotaxis, some of the cases may be related to maximizing the space for each leaf o Or the average amount of light falling on each one. Fibonacci in Plants Phyllotaxis is the study of the ordered position of leaves on a stem The leaves on this plant are staggered in a spiral pattern to permit optimum exposure to sunlight If we apply the Golden Ratio to a circle we can see how it is that this plant exhibits Fibonacci qualities
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  • Winter '16
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  • Plants, Fibonacci number, Golden ratio

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