International Journal of Social Science & Economic Research
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Title:
HIDDEN PATTERNS: THE MAGIC OF THE FIBONACCI NUMBERS

Authors:
Dhruv Kumar

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Dhruv Kumar
Vasant valley School, New Delhi

MLA 8
Kumar, Dhruv. "HIDDEN PATTERNS: THE MAGIC OF THE FIBONACCI NUMBERS." Int. j. of Social Science and Economic Research, vol. 3, no. 12, Dec. 2018, pp. 6723-6728, ijsser.org/more2018.php?id=473. Accessed Dec. 2018.
APA
Kumar, D. (2018, December). HIDDEN PATTERNS: THE MAGIC OF THE FIBONACCI NUMBERS. Int. j. of Social Science and Economic Research, 3(12), 6723-6728. Retrieved from ijsser.org/more2018.php?id=473
Chicago
Kumar, Dhruv. "HIDDEN PATTERNS: THE MAGIC OF THE FIBONACCI NUMBERS." Int. j. of Social Science and Economic Research 3, no. 12 (December 2018), 6723-6728. Accessed December, 2018. ijsser.org/more2018.php?id=473.

References
[1]. https://www.goldennumber.net/plants/
[2]. http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/fib.html
[3]. https://www.ted.com/talks/arthur_benjamin_the_magic_of_fibonacci_numbers
[4]. Also taken from Columbia University notes.

Abstract:
The Fibonacci sequence is a sequence of numbers discovered by Italian mathematician Leonardo Fibonacci in the 13th century, these numbers are seen in his book "Liber Abaci. The sequence is a series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34... The next number in the series is found by adding the two terms before. Fibonacci numbers can be applied to the growth of every living organism, the splitting of a single cell, to the reproduction in a hive of bees to the pattern of reproduction of mankind. This research paper compiles the multiple examples of the Fibonacci numbers seen in nature from the leaves of a plant, branches of a tree, to the petals of a flower. In the paper is explained the link between the Fibonacci numbers and the human body, and the link between the Fibonacci series and the Golden ratio.