Applications of Fibonacci Sequences and Golden Ratio
DOI:
https://doi.org/10.54060/jieee.v4i1.83Keywords:
Fibonacci Sequence, Golden Ratio, Fibonacci number, Hindu rituals, baby wombAbstract
The study mainly focuses on the use of the Golden Ratio and the Fibonacci sequence. The connection between them can be clearly visible in nature. With the help of the Fib-onacci sequence scientists have solved many mysteries related to nature. Everything that is around us somehow or other depends on Fibonacci numbers, the Golden Ratio, and the Fibonacci sequence. Some examples are –Flower petals- Lily, Rose, Daisy, Marigold, Sunflower, Iris, Buttercups, wild rose, larkspur Trillium, Bloodroot, Aster, and Susan; Seed heads-Sunflower; Snail; Fruit-Apple, Banana, Pineapple; Human Face; Tree Branches; Cyclone; Pinecones; Shells; Spiral Galaxies; Bees; Famous architecture design – Taj Ma-hal, in Hindu rituals, in decoding-coding the data, in providing security to the sensitive data and all over the world, in mother's womb (about her baby's position), etc. The cur-rent study reflects that there is no limitation to the Fibonacci pattern and Golden Ratio in our surroundings.
Downloads
References
P. K. Sah, A. M. Raj, and A. K. Sah, “Fibonacci sequence with golden ratio and its application,” Int. j. math. trends technol., vol. 66, no. 3, pp. 28–32, 2020.
V. Chetan, correlation of Fibonacci sequence and golden ratio with its application in engineering and science.
S. Sinha, “The Fibonacci Numbers and Its Amazing Applications,” International Journal of Engineering Science Invention (IJESI), vol. 6, no. 9, pp. 7–14, 2017.
S. Sarma, Gauhati University, and R. K. Bhuyan, “Fibonacci number, golden ratio and their connection to different floras,” Int. j. math. trends technol., vol. 61, no. 2, pp. 95–99, 2018
A. R. Watson, “The Golden relationships: An exploration of Fibonacci Numbers and Phi,” 2017.
G. A. Hisert, “The use of cragmont Fibonacci matrices in analyzing and cataloging identities with powers of Fibonacci and Lucas numbers,” JP J. Algebra Number Theory Appl., vol. 41, no. 1, pp. 95–119, 2019.
P. K. Sah, A. M. Raj, and A. K. Sah, “Fibonacci sequence with golden ratio and its application,” Int. j. math. trends technol., vol. 66, no. 3, pp. 28–32, 2020.
M. Garg and A. Garg, “Advanced fibonacci sequence with golden ratio,” International Journal of Scientific and Engineering re-search, vol. 5, no. 6, pp. 288–339, 2014
B. Kaygin, B. Balçin, C. Yildiz, and S. Arslan, “The effect of teaching the subject of Fibonacci numbers and golden ratio through the history of mathematics,” Procedia Soc. Behav. Sci., vol. 15, pp. 961–965, 2011.
N. Parveen, “Fibonacci in nature,” International Journal of Mathematical Education and Science, vol. 15, no. 5, pp. 45–69, 2010.
“Lokenath, a short history of fibonacci and golden number with their application “International,” International Journal of Mathematical Education in Science and Technology, vol. 42, no. 3, pp. 337–367, 2011.
A. Stakhov, “Fundamentals of a new kind of mathematics based on the Golden Section,” Chaos Solitons Fractals, vol. 27, no. 5, pp. 1124–1146, 2006.
A. P. Stakhov, “The Generalized Principle of the Golden Section and its applications in mathematics, science, and engineering,” Chaos Solitons Fractals, vol. 26, no. 2, pp. 263–289, 2005.
M. Křížek, L. Somer, and A. Šolcová, “Fibonacci and Lucas numbers,” in From Great Discoveries in Number Theory to Applications, Cham: Springer International Publishing, 2021, pp. 151–181.
Downloads
Published
How to Cite
CITATION COUNT
License
Copyright (c) 2023 Dr. Ambrish Kumar Pandey, Shriya Kanchan, Alok Kumar Verma
This work is licensed under a Creative Commons Attribution 4.0 International License.