The Fibonacci Sequence as a Projection of Rotationally Symmetric Structures — A Unified Interpretation via Pentagonal Symmetry,
Abstract
This work is a preprint that presents a unified geometric interpretation of the Fibonacci sequence, the golden ratio, pentagonal symmetry, and quasicrystalline structures. The paper does not propose new mathematical theorems or physical models; instead, it reorganizes well-established results within a common framework based on rotational symmetry and higher-dimensional projection. The purpose of this work is to clarify structural relationships among these concepts and to provide an interpretative perspective that complements existing studies. This version has not undergone peer review.
Fields of Study & Subjects
Quasicrystal Structures and Properties
Advanced Mathematical Theories and Applications
Mathematics and Applications
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 January 2026
- Language
- EN
- Document type
- Preprint