Universal Geometric Structures: Fractal Symmetries in Ocular Anatomy, Botanical Forms, and Cosmic Networks

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Authors: Anitha Devi
Cited by: 0

Abstract

In this study, I propose and validate a geometric and vectorial model of structural analogy across three natural scales: the human eye (retina and iris), the orange (a mesostructural organic system), and the cosmic web (the large - scale structure of the universe). My model, named the Harmonic Octagonal Mesh, is based on radial symmetry, angular subdivision, and spectral response patterns consistently observed in these systems. Through morphometric analysis, spectral comparison, and mathematical vector modeling, I demonstrate that all three structures exhibit central coordination, vectorial convergence, and harmonic organization based on octagonal segmentation. My results support the idea that nature appears to follow a unifying pattern of spatial efficiency and resonance across different scales. This work presents a foundational theoretical and mathematical basis for formulating a new structural postulate and opens perspectives for interdisciplinary research in optics, cosmology, biogeometry, and computational modeling.

Fields of Study & Subjects

Advanced Mathematical Theories and Applications Architecture and Art History Studies Complex Systems and Dynamics

Publication details

Journal / source
Journal of Educational Research and Policies
Volume
8
Issue
1
Pages
18–24
Publication date
29 January 2026
Language
EN