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International Journal of Mathematical Education in Science and Technology Volume 39, 2008 - Issue 5
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Classroom Notes

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

References

  • Barnsley , MF . 1993 . Fractals Everywhere, , 2nd ed. , Boston : Academic Press .
  • Lawrence , JD . 1972 . A Catalog of Special Plane Curves , New York : Dover Publications, Inc. .
  • Bourke , P . 2003 . Butterfly Curve Available at: http://astronomy.swin.edu.au/pbourke/curve/butterfly
  • Temple , HF . 1997 . A study in step size . Mathematics Magazine , 70 ( 2 ) : 116 – 117 .
  • Fay , TH . 1989 . The butterfly curve . Amer. Mathematical Monthly , 96 ( 5 ) : 442 – 443 .
  • Longley , W , Smith , P and Wilson , W . 1960 . Analytic Geometry and Calculus , Boston : Ginn and Company .
  • Wolfram , S . 1999 . The Mathematica Book , 4th ed. , Champaign : Cambridge University Press .
  • Descartes , R . 1886 . La Geometrie de Rene Descartes , Ithaca : Cornell University Library .

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