Fibonacci number
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The Fibonacci numbers are a pattern of numbers in mathematics named after Leonardo of Pisa, known as Fibonacci. Fibonacci's 1202 book Liber Abaci introduced the pattern to Western European mathematics, although this pattern was already described in Indian mathematics.[1][2]
The first number of the pattern is 0, the second number is 1, and each number after is equal to the two numbers before it added together. For example 0+1=1 and 3+5=8.
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F0 F1 F2 F3 F4 F5 F6 F7 F8 F9 F10 F11 F12 F13 F14 F15 F16 F17 F18 F19 F20 0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 6765
[change] Fibonacci numbers in nature
Fibonacci sequences appear in many places in nature.[3] Some examples of the Fibonacci sequence being used in nature are tree branches, the pattern of leaves on a stem, the fruitlets of a pineapple,[4] the flowering of artichoke, the uncurling of a fern and the arrangement of a pine cone.[5] The Fibonacci numbers are also found in the family tree of honeybees. [6]
[change] References
- ↑ Parmanand Singh. "Acharya Hemachandra and the (so called) Fibonacci Numbers". Math. Ed. Siwan, 20(1):28-30, 1986. ISSN 0047-6269]
- ↑ Parmanand Singh,"The So-called Fibonacci numbers in ancient and medieval India." Historia Mathematica 12(3), 229–44, 1985.
- ↑ S. Douady and Y. Couder (1996). "Phyllotaxis as a Dynamical Self Organizing Process" (PDF). Journal of Theoretical Biology 178 (178): 255–274. doi:10.1006/jtbi.1996.0026. http://www.math.ntnu.no/~jarlet/Douady96.pdf.
- ↑ Jones, Judy; William Wilson (2006). "Science". An Incomplete Education. Ballantine Books. pp. 544. ISBN 978-0-7394-7582-9.
- ↑ A. Brousseau (1969). "Fibonacci Statistics in Conifers". Fibonacci Quarterly (7): 525–532.
- ↑ http://www.cs4fn.org/maths/bee-davinci.php
[change] Other websites
- Fibonacci primes
- The One Millionth Fibonacci Number
- The Ten Millionth Fibonacci Number
- An Expanded Fibonacci Series Generator
- Online Fibonacci calculator
- Fibonacci The man, the sequence, the relationship to the Golden Ratio and how they appear in nature.
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