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

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

Document Type: Research Article


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

Publication date: July 1, 2008

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