Fibonacci Geometry - Articles - Scientific Research Publishing

Hilbert’s Fourth Problem: Searching for Harmonic Hyperbolic Worlds of Nature (Articles)

A. P. Stakhov

Journal of Applied Mathematics and Physics Vol.1 No.3, September 24, 2013

DOI: 10.4236/jamp.2013.13010 7,217 Downloads 10,329 Views Citations
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 13,026 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 6,584 Downloads 12,551 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 6,738 Downloads 13,150 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 6,114 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 309 Views Citations
The Bosnian Pyramid of the Dragon: A GIS-Based Spatial Analysis of Alignments, Triangular Configurations, Fibonacci Structures, and Network Centrality (Articles)

Sam Osmanagich

International Journal of Geosciences Vol.17 No.7, July 6, 2026

DOI: 10.4236/ijg.2026.177022 5 Downloads 65 Views Citations
When Landscape Becomes Geometry: Fibonacci Spiral Patterning Anchored at the Bosnian Pyramid of the Sun (Articles)

Sam Osmanagich, Massimo Guzzinati, Richard Hoyle

International Journal of Geosciences Vol.17 No.2, February 25, 2026

DOI: 10.4236/ijg.2026.172007 73 Downloads 770 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 7,851 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 1,139 Downloads 2,821 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 572 Downloads 13,748 Views Citations
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 180 Views Citations
Connections with Symplectic Structures (Articles)

A. K. M. Nazimuddin, Md. Showkat Ali

American Journal of Computational Mathematics Vol.6 No.4, December 21, 2016

DOI: 10.4236/ajcm.2016.64032 1,931 Downloads 3,923 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 688 Downloads 2,186 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 288 Downloads 2,534 Views Citations
Relationships between Some k -Fibonacci Sequences (Articles)

Sergio Falcon

Applied Mathematics Vol.5 No.15, August 8, 2014

DOI: 10.4236/am.2014.515216 6,802 Downloads 8,887 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 6,253 Downloads 12,707 Views Citations
Fibonacci Congruences and Applications (Articles)

René Blacher

Open Journal of Statistics Vol.1 No.2, August 1, 2011

DOI: 10.4236/ojs.2011.12015 5,091 Downloads 10,234 Views Citations
On the k–Lucas Numbers of Arithmetic Indexes (Articles)

Sergio Falcon

Applied Mathematics Vol.3 No.10, October 11, 2012

DOI: 10.4236/am.2012.310175 7,175 Downloads 10,537 Views Citations
Sums of Squares of Fibonacci Numbers with Prime Indices (Articles)

A. Gnanam, B. Anitha

Journal of Applied Mathematics and Physics Vol.3 No.12, December 18, 2015

DOI: 10.4236/jamp.2015.312186 3,766 Downloads 5,587 Views Citations

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