Natural Mathematics, the Fibonacci Numbers and Aesthetics in Art

Anthony G Shannon; Seamus A.  Power

doi:10.24297/jam.v17i0.8479

Authors

Anthony G Shannon University of Technology Sydney, New South Wales, Australia
Seamus A. Power Australia

DOI:

https://doi.org/10.24297/jam.v17i0.8479

Keywords:

Fibonacci Numbers, Recurrence Relation, Curvature, Fibonacci Spiral Golden Rectangle

Abstract

The Mathematics of beauty and beauty in mathematics are important ingredients in learning in the liberal arts. The Fibonacci numbers play an important and useful role in this. This paper seeks to present and illustrate a grounding of visual aesthetics in natural mathematical principles, centered upon the Fibonacci numbers. The specific natural mathematical principles investigated are the Fibonacci numbers, the Fibonacci Spiral, and the Cosmic Bud.

Downloads

Download data is not yet available.

Author Biographies

Anthony G Shannon, University of Technology Sydney, New South Wales, Australia

Fellow, Warrane College, the University of New South Wales, PO Box 123, Kensington, NSW 1465, Australia

Seamus A. Power, Australia

63 Effingham Street, Tarragindi, QLD 4121, Australia

References

Gardner, Howard, 2011. Truth, beauty, and goodness reframed: Educating for the virtues in the 21st century. New York: Basic Books.

Shannon, A.G., 1961. “The art that is called modern." Studies. 34 (2): 67–60.

Hardy, G. H., 2004 [1940]. A Mathematician's Apology. Cambridge: Cambridge University Press.

Shannon, Anthony G., Irina Klamka, and Robert van Gend.2018. “Generalized Fibonacci Numbers and Mu-sic.” Journal of Advances in Mathematics. 14 (1): 7564-7579.

Shannon, A.G., 1977. “Beauty and mathematics teaching.” Studies. 50 (1): 45–56.

Bogolmolny, Alexander. 2014. https://www.cut-the-knot.org/manifesto/index.shtml.

Lopez, L. et al., 2008. “The Individual Video Experience (iVE): The iPod as an Educational Tool in the Muse-um. Art Education, January.

National Gallery of Art. 2019. The Elements of Art: Line, nga.gov, 2019. https://www.nga.gov/education/teachers/lessons-activities/elements-of-art/line.html.

Nirei, H., 2019. A Brief History of ‘The Great Wave’: Japan’s Most Famous Artwork. Culture Trip, 2019. https://theculturetrip.com/asia/japan/articles/hokusai-s-great-wave/.

Beaumont-Thomas, B., 2014. “Accidental Renaissance: The Photos That Look Like Italian Paintings. “ The Guardian, August 6.