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

Authors: Geum, Y. H.1; Kim, Y. I.2

Source: International Journal of Mathematical Education in Science and Technology, Volume 39, Number 5, July 2008 , pp. 670-678(9)

Publisher: Taylor and Francis Ltd

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content

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.

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

Document Type: Research article

DOI: 10.1080/00207390801923240

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

The full text electronic article is available for purchase. You will be able to download the full text electronic article after payment.

$29.87 plus tax

 

OR

Back to top

Key:
Free Content - Free Content
New Content - New Content
Subscribed Content - Subscribed Content
Free Trial Content - Free Trial Content
Page Help Click here for Page Help
Shopping cart
Tools
Sign in






Need to register?
Sign up here
Text size: A | A | A | A