On some properties of distance in TO-Space

Can, Zeynep

On some properties of distance in TO-Space

dc.authorid	0000-0003-2656-5555
dc.contributor.author	Can, Zeynep
dc.date.accessioned	2021-02-08T09:53:16Z
dc.date.available	2021-02-08T09:53:16Z
dc.date.issued	2020
dc.department	Sabire Yazıcı Fen Edebiyat Fakültesi
dc.description.abstract	The aim of this work is to investigate some properties of the truncated octahedron metric introduced in the space in further studies on metric geometry. With this metric, the 3-dimensional analytical space is a Minkowski geometry which is a non-Euclidean geometry in a finite number of dimensions. In a Minkowski geometry, the unit ball is a certain symmetric closed convex set instead of the usual sphere in Euclidean space. The unit ball of the truncated octahedron geometry is a truncated octahedron which is an Archimedean solid. In this study, first, metric properties of truncated octahedron distance, d_TO, in R^2 has been examined by metric approach. Then, by using synthetic approach some distance formulae in R_TO^3, 3-dimensional analytical space furnished with the truncated octahedron metric has been found.
dc.identifier.doi	10.29002/asujse.688279
dc.identifier.endpage	126	en_US
dc.identifier.issn	2587-1277
dc.identifier.issue	2	en_US
dc.identifier.startpage	113	en_US
dc.identifier.uri	https://dx.doi.org/10.29002/asujse.688279
dc.identifier.uri	https://hdl.handle.net/20.500.12451/7754
dc.identifier.volume	4	en_US
dc.language.iso	en
dc.publisher	Aksaray Üniversitesi
dc.relation.ispartof	Aksaray University Journal of Science and Engineering
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Metric
dc.subject	Convex Polyhedra
dc.subject	Truncated Octahedron
dc.subject	Distance of a Point to a Line
dc.subject	Distance Between Two Lines
dc.title	On some properties of distance in TO-Space
dc.type	Article