Document Type : Research Paper


1 Mathematics, Science and Letters, Aksaray University, Aksaray, TURKEY

2 Econometry, Faculty of Economics and Administrative Sciences, University of Çanakkale On Sekiz Mart, Çanakkale, TURKEY

3 Deparment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Eskişehir Osmangazi University, Eskişehir, TURKEY


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.


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
[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
[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.
Volume 10, Issue 1
May 2021
Pages 95-102
  • Receive Date: 15 October 2019
  • Revise Date: 02 March 2021
  • Accept Date: 11 April 2021
  • First Publish Date: 01 May 2021