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.

Highlights

  • Truth, and Goodness are the legs of a thorough educational tripod [1,2]

  • There is a broader societal problem, identified by the late great Russian-born mathematical educator, Alexander Bogomolny (1948-2018) that even among people with post-high school formal education it has “become an acceptable norm to confess a dislike and misunderstanding of Mathematics as a whole” and that lack of awareness of the beauty of mathematics and the mathematics of beauty are contributing factors: “judging Mathematics by its pragmatic value is like judging a symphony by the weight of its score” [6]!it has been noted by authoritative figures in the art world [7], and the sentiment is more generally held, that art pieces from contemporary movements do not seem to invoke a naturally discernible aestheticism

  • When the Fibonacci spiral is superimposed onto a select group of notable and genuinely aesthetically appealing artworks, one begins to see the causation between the conformity of an art piece to the Fibonacci spiral, and the work’s overall objective aesthetic appeal

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Summary

Introduction

Truth, and Goodness are the legs of a thorough educational tripod [1,2]. In particular, beauty in mathematics [3] and the mathematics of beauty [4] are important ingredients of sound teaching and cultured learning [5]. There is a broader societal problem, identified by the late great Russian-born mathematical educator, Alexander Bogomolny (1948-2018) that even among people with post-high school formal education it has “become an acceptable norm to confess a dislike and misunderstanding of Mathematics as a whole” and that lack of awareness of the beauty of mathematics and the mathematics of beauty are contributing factors: “judging Mathematics by its pragmatic value is like judging a symphony by the weight of its score” [6]!it has been noted by authoritative figures in the art world [7], and the sentiment is more generally held, that art pieces from contemporary movements do not seem to invoke a naturally discernible aestheticism This seems to be a view restricted to more recent art movements. To further illustrate the chief assertion of this piece, somewhat of an aesthetic oddity will be presented: a photo, taken with no intentional motivation of being aesthetically pleasing, is so

The Fibonacci sequence
The Fibonacci spiral
Implied line
The great wave off Kanagawa
Conclusion
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