On the Fibonacci and Lucas Curves

On the Fibonacci and Lucas Curves

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In this study, we have constituted the Frenet vector elds of Fibonacci and Lucas curves which created with the help of Fibonacci and Lucas sequences hold a very important place in nature dened by Horadam and Shannon, [1]. Based on these vector elds, we have investigated notions of evolute, pedal and...

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Bibliographic Details
Main Authors: Mahmut Akyiğit, Murat Tosun, Tülay Erişir
Format: Article
Language:English
Published: BİSKA Bilisim Company 2015-06-01
Series:New Trends in Mathematical Sciences
Subjects:
Fibonacci and Lucas curves
evolute curve
parallel curve
pedal curve.
Online Access:http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=77
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spelling doaj-66917420bf424f0ea7c5bb7eed1214692020-11-24T21:25:20ZengBİSKA Bilisim CompanyNew Trends in Mathematical Sciences2147-55202147-55202015-06-013311077On the Fibonacci and Lucas CurvesMahmut Akyiğit0Murat Tosun1Tülay Erişir2sakarya üniversitesiSakarya UniversitySakarya UniversityIn this study, we have constituted the Frenet vector elds of Fibonacci and Lucas curves which created with the help of Fibonacci and Lucas sequences hold a very important place in nature dened by Horadam and Shannon, [1]. Based on these vector elds, we have investigated notions of evolute, pedal and parallel curves and obtained the graphics of this curves.http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=77Fibonacci and Lucas curvesevolute curveparallel curvepedal curve.
collection DOAJ
language English
format Article
sources DOAJ
author Mahmut Akyiğit
Murat Tosun
Tülay Erişir
spellingShingle Mahmut Akyiğit
Murat Tosun
Tülay Erişir
On the Fibonacci and Lucas Curves
New Trends in Mathematical Sciences
Fibonacci and Lucas curves
evolute curve
parallel curve
pedal curve.
author_facet Mahmut Akyiğit
Murat Tosun
Tülay Erişir
author_sort Mahmut Akyiğit
title On the Fibonacci and Lucas Curves
title_short On the Fibonacci and Lucas Curves
title_full On the Fibonacci and Lucas Curves
title_fullStr On the Fibonacci and Lucas Curves
title_full_unstemmed On the Fibonacci and Lucas Curves
title_sort on the fibonacci and lucas curves
publisher BİSKA Bilisim Company
series New Trends in Mathematical Sciences
issn 2147-5520
2147-5520
publishDate 2015-06-01
description In this study, we have constituted the Frenet vector elds of Fibonacci and Lucas curves which created with the help of Fibonacci and Lucas sequences hold a very important place in nature dened by Horadam and Shannon, [1]. Based on these vector elds, we have investigated notions of evolute, pedal and parallel curves and obtained the graphics of this curves.
topic Fibonacci and Lucas curves
evolute curve
parallel curve
pedal curve.
url http://www.ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=77
work_keys_str_mv AT mahmutakyigit onthefibonacciandlucascurves
AT murattosun onthefibonacciandlucascurves
AT tulayerisir onthefibonacciandlucascurves
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