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A NOTE ON SOME DISTANCE FORMULAE IN 3-DIMENSIONAL MAXIMUM SPACE | ||
| Journal of Mahani Mathematical Research | ||
| دوره 10، شماره 1، مرداد 2021، صفحه 95-102 اصل مقاله (612.08 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22103/jmmrc.2021.14859.1104 | ||
| نویسندگان | ||
| Zeynep Can* 1؛ Zeynep Colak2؛ Kadir Yıldırım1؛ Ozcan Gelişgen3 | ||
| 1Mathematics, Science and Letters, Aksaray University, Aksaray, TURKEY | ||
| 2Econometry, Faculty of Economics and Administrative Sciences, University of Çanakkale On Sekiz Mart, Çanakkale, TURKEY | ||
| 3Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY | ||
| چکیده | ||
| In this paper, we give some distance formulas for 3-dimensional maximum space. We study in 3-dimensional analytical space furnishing with maximum metric, and in this space we give distance formulas between a point and a line, a point and a plane and between two lines in terms of maximum metric. | ||
| کلیدواژهها | ||
| Maximum metric؛ Maximum 3-space؛ Distance of a point to a plane؛ Distance of a point to a line؛ Distance between two lines | ||
| مراجع | ||
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1] Z. Akca, R. Kaya, On the Distance Formulae In three Dimensional Taxicab Space, Hadronic Journal, Vol. 27, 521-532 (2006). [2] Z. Can, O. Gelisgen, Kaya R, On the Metrics Induced by Icosidodecahedron and Rhombic Triacontahedron, Scienti c and Professional Journal of the Croatian Society for Geometry and Graphics (KoG), Vol.19, 17-23 (2015). [3] Z. Can, Z. C olak, O. Gelisgen, A Note On The Metrics Induced By Triakis Icosahedron And Disdyakis Triacontahedron, Eurasian Academy of Sciences Eurasian Life Sciences Journal, Vol.1, 1-11 (2015). [4] Z. Can and Z. C olak, Distance Formulae of A Space Induced by A Semi-Regular Convex Polyhedra, Academic Studies in Mathematic and Sciences - 2019, 27-51, 2019. [5] Z. C olak, O. Gelisgen, New Metrics For Deltoidal Hexacontahedron and Pentakis Dodecahedron, Sakarya Universitesi Fen Bilimleri Enstitusu Dergisi, Vol.19(3), 353-360 (2015). [6] Z. C olak and Z. Can, Some Distance Properties of Two Spaces Induced by Dual Convex Polyhedra, International Journal of Geometry, Vol.7(2), 12-24 (2018). [7] T. Ermis, On The Relations Between The Metric Geometries and Regular Polyhedra, PhDThesis, Eskisehir Osmangazi University, 2014 [8] T. Ermis and R. Kaya, Isometries the of 3- Dimensional Maximum Space, Konuralp Journal of Mathematics, Vol.3(1), 103{114 (2015). [9] O. Gelisgen, Z. C olak, A Family of Metrics for Some Polyhedra, Automation Computers Applied Mathematics Scienti c Journal, Vol.24(1), 3-15 (2015). [10] O. Gelisgen, R. Kaya, On Distance in Three Dimensional Space, Applied Sciences, Vol.8, 65-69 (2006). [11] O. Gelisgen, Z. Can, On The Family of Metrics for Some Platonic and Archimedean Polyhedra, Konuralp Journal of Mathematics, Vol.4, 25-33 (2016). [12] O. Gelisgen, R. Kaya and M. Ozcan, Distance Formulae in the Chinese Checker Space, International Journal of Pure and Applied Mathematical(IJPAM), Vol.26(1), 35-44 (2006). [13] O Gelisgen, T. Ermis and I. Gunaltl, A Note About The Metrics Induced by Truncated Dodecahedron And Truncated Icosahedron, International Journal of Geometry, Vol.6(2), 5-16 (2017). [14] S. Salihova, On The Geometry Of Maximum Metric, PhD Thesis, Eskisehir Osmangazi University, 2006. | ||
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