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The Symmetry in Mathematics: Exploring Patterns in Nature and Mathematics

Authors: Narendra Kumar

Published: 2025-01-07 11:59:43.657

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Abstract

The research explores the intricate interplay between symmetry in natural phenomena and mathematical theories, putting emphasis on its aesthetic, biological, and technological importance. Qualitative methodologies have been used to investigate five sub-research areas, namely types of natural symmetries, mathematical principles underlying symmetry, biological functions of symmetry, aesthetic appeal, and technological applications. The results indicated that natural symmetries are more complex than before, mathematical models of this are changing to take on complex natural patterns, and symmetry is critical to both biological functionality and aesthetic appreciation. Moreover, the application of symmetry in novel technologies has shown its tremendous scope. These findings and facts have highlighted the multi-faceted importance of symmetry and its wide reach beyond disciplines, thus disqualifying earlier simplistic classification of this notion.

Keywords

Symmetry, Natural Patterns, Mathematical Modeling, Biological Functions, Aesthetic Appeal

References

  1. Prigogine, Ilya. (1984). Order Out of Chaos: Man's New Dialogue with Nature. New York: Bantam Books.
  2. Narendra Kumar, B. Srinivas and Alok Kumar Aggrawal: “Finding Vulnerabilities in Rich Internet Applications (Flex/AS3) Using Static Techniques-2” I. J. Modern Education and Computer Science, 2012, 1, 33-39.(http://www.mecs-press.org/ DOI: 10.5815/ijmecs.2012.01.05) Anuj Kumar, Narendra Kumar and Alok Aggrawal: “An Analytical Study for Security and Power Control in MANET” International Journal of Engineering Trends and Technology, Vol 4(2), 105- 107, 2013.
  3. Barabási, Albert-László. (2002). Linked: The New Science of Networks. New York: Perseus Publishing.
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  5. Thompson, D’Arcy Wentworth. (1917). On Growth and Form. Cambridge: Cambridge University Press.
  6. Anuj Kumar, Narendra Kumar and Alok Aggrawal: “Balancing Exploration and Exploitation using Search Mining Techniques” in IJETT, 3(2), 158-160, 2012
  7. Anuj Kumar, Shilpi Srivastav, Narendra Kumar and Alok Agarwal “Dynamic Frequency Hopping: A Major Boon towards Performance Improvisation of a GSM Mobile Network” International Journal of Computer Trends and Technology, vol 3(5) pp 677-684, 2012.
  8. Mitchell, Melanie. (2009). Complexity: A Guided Tour. Oxford: Oxford University Press. Strogatz, Steven H. (2003). Sync: The Emerging Science of Spontaneous Order. New York: Hyperion.
  9. McKelvey, Bill. (2004). “Toward a Complexity Science of Entrepreneurship.” Journal of Business Venturing. 19(3): 313–341.
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  11. Nowak, Martin A., & Highfield, Roger. (2011). SuperCooperators: Altruism, Evolution, and Why We Need Each Other to Succeed. New York: Free Press.
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How to Cite

Narendra Kumar, (2025-01-07 11:59:43.657). The Symmetry in Mathematics: Exploring Patterns in Nature and Mathematics. Abhi International Journal of Mathematical Science, Volume l3Bv2UwGNfCrQoHELJfj, Issue 1.

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