On the analysis and construction of the butterfly curve using Mathematica®

Authors: Geum, Y. H.1; Kim, Y. I.2

Source: International Journal of Mathematical Education in Science and Technology, Volume 39, Number 5, July 2008 , pp. 670-678(9)

Publisher: Taylor and Francis Ltd

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Abstract:

The butterfly curve was introduced by Temple H. Fay in 1989 and defined by the polar curve [image omitted] In this article, we develop the mathematical model of the butterfly curve and analyse its geometric properties. In addition, we draw the butterfly curve and confirm the corresponding mathematical investigation using Mathematica. Accurate numerical results are presented to confirm our analysis.

Keywords: butterfly curve; mathematical model; Mathematica; polar equation; geometry

Document Type: Research article

DOI: 10.1080/00207390801923240

Affiliations: 1: Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1 2: Department of Applied Mathematics, Dankook University, Cheonan, Korea 330-714

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