Applications of Cantor Set to Fractal Geometry

Karaçay, İpek Ebru; Yüce, Salim

Applications of Cantor Set to Fractal Geometry

dc.authorid	0000-0002-5289-6457
dc.authorid	0000-0002-8296-6495
dc.contributor.author	Karaçay, İpek Ebru
dc.contributor.author	Yüce, Salim
dc.date.accessioned	2025-06-03T10:48:37Z
dc.date.available	2025-06-03T10:48:37Z
dc.date.issued	2024
dc.department	İstanbul Gelişim Meslek Yüksekokulu
dc.description.abstract	Fractal geometry is a subfield of mathematics that allows us to explain many of the complexities in nature. Considering this remarkable feature of fractal geometry, this study examines the Cantor set, which is one of the most basic examples of fractal geometry. First of all, the Cantor set is one of the basic examples and important structure of it. First, the generalization of Cantor set in on R, R2 and R3 are taken into consideration. Then, the given structures are examined over curve and surface theory. This approach enables to given a relationship between fractal geometry and differential geometry. Finally, some examples are established.
dc.identifier.doi	HTTPS://DOI.ORG/10.36890/IEJG.1536179
dc.identifier.endpage	726
dc.identifier.issn	1307-5624
dc.identifier.issue	2
dc.identifier.startpage	712
dc.identifier.uri	https://hdl.handle.net/11363/9863
dc.identifier.volume	17
dc.identifier.wos	001353888100008
dc.identifier.wosquality	Q4
dc.indekslendigikaynak	Web of Science
dc.institutionauthor	Karaçay, İpek Ebru
dc.institutionauthorid	0000-0002-5289-6457
dc.language.iso	en
dc.publisher	INT ELECTRONIC JOURNAL GEOMETRY, INT ELECTRONIC JOURNAL GEOMETRY, ANKARA 00000, Turkiye
dc.relation.ispartof	INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Fractal geometry
dc.subject	Cantor set
dc.subject	iterated function system
dc.title	Applications of Cantor Set to Fractal Geometry
dc.type	Article