“Golden” Fibonacci λ-Goniometry - Articles - Scientific Research Publishing

Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s——Part I. Hyperbolic Fibonacci and Lucas Functions and “Golden” Fibonacci Goniometry (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.1, January 30, 2011

DOI: 10.4236/am.2011.21009 6,859 Downloads 13,029 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part II. A New Geometric Theory of Phyllotaxis (Bodnar’s Geometry) (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.2, February 25, 2011

DOI: 10.4236/am.2011.22020 6,587 Downloads 12,563 Views Citations
The Most Irrational Number that Shows up Everywhere: The Golden Ratio (Articles)

Jiwon Choi, Agegnehu Atena, Wondimu Tekalign

Journal of Applied Mathematics and Physics Vol.11 No.4, April 28, 2023

DOI: 10.4236/jamp.2023.114077 574 Downloads 13,760 Views Citations
Multi Parameters Golden Ratio and Some Applications (Articles)

Seyed Moghtada Hashemiparast, Omid Hashemiparast

Applied Mathematics Vol.2 No.7, July 5, 2011

DOI: 10.4236/am.2011.27108 6,254 Downloads 12,714 Views Citations
Non Degeneration of Fibonacci Series, Pascal’s Elements and Hex Series (Articles)

Balasubramani Prema Rangasamy

Advances in Pure Mathematics Vol.10 No.7, July 21, 2020

DOI: 10.4236/apm.2020.107024 780 Downloads 1,998 Views Citations
The Optimum of a Quadratic Univariate Response Function Is Located at the Origin (Articles)

Idorenyin Etukudo

American Journal of Operations Research Vol.7 No.6, October 18, 2017

DOI: 10.4236/ajor.2017.76024 976 Downloads 1,910 Views Citations
Fibonacci Harmonics: A New Mathematical Model of Synchronicity (Articles)

Robert G. Sacco

Applied Mathematics Vol.9 No.6, June 29, 2018

DOI: 10.4236/am.2018.96048 2,494 Downloads 9,663 Views Citations
Hyperbolic Fibonacci and Lucas Functions, “Golden” Fibonacci Goniometry, Bodnar’s Geometry, and Hilbert’s Fourth Problem—Part III. An Original Solution of Hilbert’s Fourth Problem (Articles)

Alexey Stakhov, Samuil Aranson

Applied Mathematics Vol.2 No.3, March 24, 2011

DOI: 10.4236/am.2011.23033 6,739 Downloads 13,156 Views Citations
The Mathematics of Harmony, Hilbert’s Fourth Problem and Lobachevski’s New Geometries for Physical World (Articles)

Alexey Stakhov, Samuil Aranson

Journal of Applied Mathematics and Physics Vol.2 No.7, June 13, 2014

DOI: 10.4236/jamp.2014.27056 4,109 Downloads 6,122 Views Citations
When Landscape Becomes Geometry II: Multi-Anchor Fibonacci Spiral Modeling in the Bosnian Valley of the Pyramids (Articles)

Sam Osmanagich, Massimo Guzzinati, Richard Hoyle

International Journal of Geosciences Vol.17 No.3, March 31, 2026

DOI: 10.4236/ijg.2026.173011 57 Downloads 311 Views Citations
A History, the Main Mathematical Results and Applications for the Mathematics of Harmony (Articles)

A. P. Stakhov

Applied Mathematics Vol.5 No.3, February 11, 2014

DOI: 10.4236/am.2014.53039 8,736 Downloads 12,752 Views Citations
A Different Approach to High-Tc Superconductivity: Indication of Filamentary-Chaotic Conductance and Possible Routes to Room Temperature Superconductivity (Articles)

Hans Hermann Otto

World Journal of Condensed Matter Physics Vol.6 No.3, August 22, 2016

DOI: 10.4236/wjcmp.2016.63023 2,621 Downloads 4,929 Views Citations
Mass Constituents of a Flat Lattice Multiverse: Conclusion from Similarity between Two Universal Numbers, the Rocksalt-Type 2D Madelung Constant and the Golden Mean (Articles)

Hans Hermann Otto

Journal of Modern Physics Vol.9 No.1, January 8, 2018

DOI: 10.4236/jmp.2018.91001 1,014 Downloads 2,826 Views Citations
This article belongs to the Special Issue on Research on Dark Matter and Dark Energy
A Breakthrough to the Meaning of the Fine Structure Numbers with Nucleotide Bases as Regards to Quantum Perspective Model? (Articles)

Tahir Ölmez

Open Access Library Journal Vol.10 No.12, December 29, 2023

DOI: 10.4236/oalib.1111005 78 Downloads 1,201 Views Citations
An Algorithm to Generalize the Pascal and Fibonacci Matrices (Articles)

Ilhan M. Izmirli

Applied Mathematics Vol.6 No.6, June 10, 2015

DOI: 10.4236/am.2015.66101 6,353 Downloads 7,852 Views Citations
Generalized Fibonacci Sequence: Possible Template for the Constants of Nature (Articles)

Sebastiano Tosto

Journal of Applied Mathematics and Physics Vol.7 No.12, December 12, 2019

DOI: 10.4236/jamp.2019.712214 1,141 Downloads 2,835 Views Citations
The “3 Genomic Numbers” Discovery: How Our Genome Single-Stranded DNA Sequence Is “Self-Designed” as a Numerical Whole (Articles)

Jean-Claude Perez

Applied Mathematics Vol.4 No.10B, October 4, 2013

DOI: 10.4236/am.2013.410A2004 11,578 Downloads 18,388 Views Citations
This article belongs to the Special Issue on Biomathematics
A Sufficient Condition for the Primality of the Sum of Two Squares (Articles)

Han-Lin Li, Shu-Cherng Fang, Way Kuo

Advances in Pure Mathematics Vol.16 No.6, June 11, 2026

DOI: 10.4236/apm.2026.166022 37 Downloads 186 Views Citations
Fibonacci Sequence Found in Parkfield Earthquake (Articles)

Guangmeng Guo

International Journal of Geosciences Vol.12 No.1, January 11, 2021

DOI: 10.4236/ijg.2021.121001 689 Downloads 2,194 Views Citations
Do Planetary Transits Predict Synchronicity Experience? (Articles)

Robert G. Sacco

Journal of Behavioral and Brain Science Vol.13 No.3, March 10, 2023

DOI: 10.4236/jbbs.2023.133003 289 Downloads 2,542 Views Citations

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