“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 6,824 Downloads 12,959 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 6,546 Downloads 12,461 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 533 Downloads 13,582 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 6,207 Downloads 12,625 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 755 Downloads 1,952 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 956 Downloads 1,866 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 2,444 Downloads 9,518 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 6,710 Downloads 13,087 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 8,670 Downloads 12,618 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 4,080 Downloads 6,035 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 41 Downloads 258 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 2,594 Downloads 4,855 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 990 Downloads 2,749 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 77 Downloads 1,128 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 6,306 Downloads 7,772 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 1,089 Downloads 2,727 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 11,497 Downloads 18,245 Views Citations
This article belongs to the Special Issue on Biomathematics
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 674 Downloads 2,149 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 249 Downloads 2,430 Views Citations
The Golden Ratio (Articles)

Csizmadia Jozsef

Journal of Modern Physics Vol.7 No.14, October 27, 2016

DOI: 10.4236/jmp.2016.714171 3,323 Downloads 5,734 Views Citations

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