@article {Geum:July 2008:0020-739X:670, author = "Geum, Y. H.", author = "Kim, Y. I.", title = "On the analysis and construction of the butterfly curve using Mathematica", journal = "International Journal of Mathematical Education in Science and Technology", volume = "39", year = "July 2008", 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.", pages = "670-678(9)", url = "http://www.ingentaconnect.com/content/tandf/tmes/2008/00000039/00000005/art00007" doi = "doi:10.1080/00207390801923240" }