The Fibonacci Sequence as a Projection of Rotationally Symmetric Structures — A Unified Interpretation via Pentagonal Symmetry,

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Authors: Shoichiro Kurita
Cited by: 0

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