The Fibonacci sequence and its occurrence in nature

Author(s)	Aniruddha Kumar
Country	India
Abstract	The Fibonacci sequence, an illustrious numerical progression in discrete mathematics, is axiomatically defined such that each term is the sum of its two immediate antecedents, initialized by the seeds F0=0F0=0 and F1=1F1=1. This sequence emerges with remarkable prevalence across natural systems, dictating the morphology of botanical architectures—such as the helical arrangements of florets in composite inflorescences, the phyllotactic spirals of gymnosperm cones, and the equiangular spirals of gastropod shells—as well as the macroscopic geometry of galactic arms. This treatise rigorously examines the sequence’s mathematical foundations, its profound interconnection with the Golden Ratio, and its empirical manifestations in biological and physical systems. Through a synthesis of theoretical analysis and observational evidence, we illuminate the pervasive role of mathematical order in shaping natural phenomena.
Keywords	Fibonacci sequence Discrete mathematics Golden Ratio Mathematical order Natural systems
Field	Mathematics
Published In	Volume 16, Issue 2, April-June 2025
Published On	2025-04-24
Cite This	The Fibonacci sequence and its occurrence in nature - Aniruddha Kumar - IJSAT Volume 16, Issue 2, April-June 2025. DOI 10.71097/IJSAT.v16.i2.4062
DOI	https://doi.org/10.71097/IJSAT.v16.i2.4062
Short DOI	https://doi.org/g9gp34

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