Affine contractions on the plane

dc.contributor.author	Çelik, D.
dc.contributor.author	Özdemir, Y.
dc.contributor.author	Üreyen, Mustafa Erdem
dc.date.accessioned	2019-10-20T14:28:28Z
dc.date.available	2019-10-20T14:28:28Z
dc.date.issued	2007
dc.identifier.issn	0020739X
dc.identifier.uri	https://dx.doi.org/10.1080/00207390701368587
dc.identifier.uri	https://hdl.handle.net/11421/18147
dc.description.abstract	Contractions play a considerable role in the theory of fractals. However, it is not easy to find contractions which are not similitudes. In this study, it is shown by counter examples that an affine transformation of the plane carrying a given triangle onto another triangle may not be a contraction even if it contracts edges, heights or medians. Then, a sufficient condition is given for such a transformation to be a contraction.	en_US
dc.language.iso	eng	en_US
dc.relation.isversionof	10.1080/00207390701368587	en_US
dc.rights	info:eu-repo/semantics/closedAccess	en_US
dc.title	Affine contractions on the plane	en_US
dc.type	article	en_US
dc.relation.journal	International Journal of Mathematical Education in Science and Technology	en_US
dc.contributor.department	Anadolu Üniversitesi, Fen Fakültesi, Matematik Bölümü	en_US
dc.identifier.volume	38	en_US
dc.identifier.issue	5	en_US
dc.identifier.startpage	701	en_US
dc.identifier.endpage	707	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı	en_US]
dc.contributor.institutionauthor	Üreyen, Mustafa Erdem