Views of Fibonacci dynamics

Downloadable Content

Download this item
Abstract
  • The Binet formula gives a natural way for Fibonacci numbers to be viewed as a function of a complex variable. We experimentally study the complex dynamics of the Fibonacci numbers viewed in that manner. Attracting and repelling fixed points are related to the filled Julia set and to regions of escape time images with fascinating behavior.
TitleViews of Fibonacci dynamics
CreatorReiter, Clifford A.
PublisherComputers and Graphics
Academic DepartmentMathematics
DivisionNatural Sciences
OrganizationLafayette College
Date IssuedApril 2004
Date Available2015-04-17T18:47:26Z
TypeArticle
LanguageEnglish
Bibliographic CitationReiter, C. A. (2004 Apr.) "Views of Fibonacci dynamics." Computers and Graphics 28 (2): 297-300.
Standard IdentifierHandle 10385/1801
DOI 10.1016/j.cag.2003.12.014
Permalinkhttp://hdl.handle.net/10385/1801
Rights Statement In Copyright In Copyright
Rights HoldersElsevier Ltd.
Contains
File Reiter-ComputersandGraphics-vol28-2004.pdf Uploaded 2019-10-20 Public Download

Member of Collection

Faculty Publications

View Collection