On the Analysis and Construction of the Butterfly Curve Using "Mathematica"[R]
IJMEST Volume 39, Number 5, ISSN 0020-739X
The butterfly curve was introduced by Temple H. Fay in 1989 and defined by the polar curve r = e[superscript cos theta] minus 2 cos 4 theta plus sin[superscript 5] (theta divided by 12). 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. (Contains 7 figures and 4 tables.)
Geum, Y.H. & Kim, Y.I. (2008). On the Analysis and Construction of the Butterfly Curve Using "Mathematica"[R]. International Journal of Mathematical Education in Science and Technology, 39(5), 670-678.