Submitted:
15 August 2022
Posted:
16 August 2022
You are already at the latest version
Abstract
The Golden ratio is an irrational number that has a tendency to appear in many different scientific and artistic fields. It may be found in natural phenomena across a vast range of length scales; from galactic to atomic. In this review, the mathematical properties of the Golden ratio are discussed before exploring where in nature it has been found; beginning at astronomical scales and progressing to smaller lengths, until reaching those of atomic and quantum physics. In making such a tour across length scales, it is illustrated just how prevalent this single number is within the natural universe.
Keywords:
Golden ratio
; Irrational numbers
; Fibonacci sequence
; Spiral galaxy
; Planetary orbits
; KAM Theorem
; Ultimatum game
; Proteins
; Penrose tiling
; Quasicrystals
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
