On some properties of distance in TO-Space
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Date
2020
Authors
Journal Title
Journal ISSN
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Publisher
Aksaray Üniversitesi
Access Rights
info:eu-repo/semantics/openAccess
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.
Description
Keywords
Metric, Convex Polyhedra, Truncated Octahedron, Distance of a Point to a Line, Distance Between Two Lines
Journal or Series
Aksaray University Journal of Science and Engineering
WoS Q Value
Scopus Q Value
Volume
4
Issue
2
