Submitted:
15 August 2022
Posted:
16 August 2022
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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
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