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ERIC Number: EJ900049
Record Type: Journal
Publication Date: 2007-Sep
Pages: 7
Abstractor: As Provided
Reference Count: 0
ISBN: N/A
ISSN: ISSN-0746-8342
Equiangular Surfaces, Self-Similar Surfaces, and the Geometry of Seashells
Boyadzhiev, Khristo N.
College Mathematics Journal, v38 n4 p265-271 Sep 2007
Logarithmic spirals are among the most fascinating curves in the plane, being the only curves that are equiangular, and the only ones that are self-similar. In this article, we show that in three dimensions, these two properties are independent. Although there are surfaces that have both properties, there are some that are equiangular, but not self-similar; and some that are self-similar, but not equiangular.
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A