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International Journal of Mathematical Education in Science and Technology Volume 39, 2008 - Issue 5
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On the analysis and construction of the butterfly curve using Mathematica®

Y.H. Geum Department of Pure Mathematics, University of Waterloo, Ontario, Canada N2L 3G1Correspondence[email protected]
&
Y.I. Kim Department of Applied Mathematics, Dankook University, Cheonan, Korea 330-714
Pages 670-678 | Received 22 Sep 2006, Published online: 18 Jun 2008
 
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Abstract

The butterfly curve was introduced by Temple H. Fay in 1989 and defined by the polar curve

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.

Mathematics Subject Classifications (2000):

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