Fibonacci Generator

The Fibonacci Generator: Mathematical Proof that log₁₃(πφ) Generates Fibonacci Sequences through Reciprocal Relationship with the Golden Ratio We present the discovery and mathematical proof of a fundamental relationship between the mathematical constants π (pi), φ (golden ratio), and the Fibonacci sequence

Publication Details

Journal
Open Science Framework
Published
2025-01-01
DOI
https://doi.org/10.17605/osf.io/cxqn7
Primary Topic
Advanced Mathematical Theories and Applications
Type
article
Field-Weighted Citation Impact
0.00
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article

Fibonacci Generator

Open Science Framework
Advanced Mathematical Theories and Applications
article

Fibonacci Generator

article en

Abstract

The Fibonacci Generator: Mathematical Proof that log₁₃(πφ) Generates Fibonacci Sequences through Reciprocal Relationship with the Golden Ratio We present the discovery and mathematical proof of a fundamental relationship between the mathematical constants π (pi), φ (golden ratio), and the Fibonacci sequence

Open Science Framework
Openalex Percentile: Top 66%
Advanced Mathematical Theories and Applications
DOIOpen Access PDFOpenAlex
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Fibonacci Generator · Open Science Framework (2025) | TGRS Research Map | TGRS