Fibonacci number reisied - Introduction I choose to explore Fibonaccis number to learn more about the symmetry in nature I was curious about the reason

# Fibonacci number reisied - Introduction I choose to explore...

This preview shows page 1 - 4 out of 10 pages. List of Fibonacci’s Number The first 21 Fibonacci numbers F n for n = 0, 1, 2, ..., 20 are: F 0 F 1 F 2 F 3 F 4 F 5 F 6 F 7 F 8 F 9 F 10 F 11 F 12 F 13 F 14 F 15 F 16 F 17 F 18 F 19 F 20 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 258 4 4181 676 5 The sequence can also be extended to negative index n using the re-arranged recurrence relation which yields the sequence of "negafibonacci" numbers  satisfying Thus the bidirectional sequence is F −8 F −7 F −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 2 | P a g e Fibonacci’s Number in Nature Fibonacci sequences appear in biological settings, in two consecutive Fibonacci numbers, such as branching in trees, arrangement of leaves on a stem, the fruitlets of a pineapple, the flowering of artichoke, an uncurling fern and the arrangement of a pine cone, and the family tree of honeybees. The Fibonacci numbers are Nature's numbering system 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.  #### You've reached the end of your free preview.

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• Winter '16
• Gray
• Plants, Fibonacci number
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