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ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE

Yıl 2015, Cilt: 3 Sayı: 1, 103 - 114, 01.04.2015

Öz

In this article, the hexahedron associated to metric geometry full- led by the metric of which unit sphere is hexahedron. We have analytically proved that the isometry group of the space with respect to this metric is the semi direct product of the Euclidean symmetry group of the cube and T(3) which is all translations of analytical 3􀀀space.

Kaynakça

  • [1] Carrizales J. M. M. , Lopez J. L. R. , Pal U. , Yoshida M. M. and Yacaman M. J., The Completion of the Platonic Atomic Polyhedra: The Dodecahedron, Small Volume 2, Issue 3, pages 351 { 355, 2006.
  • [2] Fenn, R., Geometry, Springer Undergraduate Mathematics Series, 2003.
  • [3] Gelisgen,  O. , Kaya, R. , The Taxicab Space Group, Acta Mathematica Hungarica, Vol. 122, No.1-2, 187-200, 2009.
  • [4] Kaya, R. , Gelisgen,  O. , Ekmekci, S. , Bayar A. , Group of Isometries of CC-Plane, MJMS. , Vol. 18, No. 3 , 221-233, 2006.
  • [5] Kaya, R. , Gelisgen,  O. , Ekmekci, S. , Bayar A. , On The Group of Isometries of The Plane with Generalized Absolute Value Metric, Rocky Mountain Journal of Mathematics, Vol. 39, No. 2, 591-603, 2009.
  • [6] Lopez J. L. R, Carrizales J. M. M. and Yacaman M. J. , Low Dimensional Non - Crystallographic Metallic Nanostructures: Hrtem Simulation, Models and Experimental Results, Modern Physics Letters B. , Vol. 20, No. 13, 725-751, 2006.
  • [7] Martin, G. E. , Transformation Geometry, Springer-Verlag, 1997.
  • [8] Millman, R. S. , Parker, G.D., Geometry, A Metric Approach with Models, Undergraduate Texts in Mathematics, Springer-Verlag, 1981.
  • [9] Salihova, S., \Maksimum Metrik Geometri Uzerine", Eskisehir Osmangazi University, PhD Thesis, 2006.
  • [10] Schattschneider, D. J. , Taxicab group, Amer. Math. Monthly, 91, 423-428, 1984.
Yıl 2015, Cilt: 3 Sayı: 1, 103 - 114, 01.04.2015

Öz

Kaynakça

  • [1] Carrizales J. M. M. , Lopez J. L. R. , Pal U. , Yoshida M. M. and Yacaman M. J., The Completion of the Platonic Atomic Polyhedra: The Dodecahedron, Small Volume 2, Issue 3, pages 351 { 355, 2006.
  • [2] Fenn, R., Geometry, Springer Undergraduate Mathematics Series, 2003.
  • [3] Gelisgen,  O. , Kaya, R. , The Taxicab Space Group, Acta Mathematica Hungarica, Vol. 122, No.1-2, 187-200, 2009.
  • [4] Kaya, R. , Gelisgen,  O. , Ekmekci, S. , Bayar A. , Group of Isometries of CC-Plane, MJMS. , Vol. 18, No. 3 , 221-233, 2006.
  • [5] Kaya, R. , Gelisgen,  O. , Ekmekci, S. , Bayar A. , On The Group of Isometries of The Plane with Generalized Absolute Value Metric, Rocky Mountain Journal of Mathematics, Vol. 39, No. 2, 591-603, 2009.
  • [6] Lopez J. L. R, Carrizales J. M. M. and Yacaman M. J. , Low Dimensional Non - Crystallographic Metallic Nanostructures: Hrtem Simulation, Models and Experimental Results, Modern Physics Letters B. , Vol. 20, No. 13, 725-751, 2006.
  • [7] Martin, G. E. , Transformation Geometry, Springer-Verlag, 1997.
  • [8] Millman, R. S. , Parker, G.D., Geometry, A Metric Approach with Models, Undergraduate Texts in Mathematics, Springer-Verlag, 1981.
  • [9] Salihova, S., \Maksimum Metrik Geometri Uzerine", Eskisehir Osmangazi University, PhD Thesis, 2006.
  • [10] Schattschneider, D. J. , Taxicab group, Amer. Math. Monthly, 91, 423-428, 1984.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Articles
Yazarlar

T. Ermiş

R. Kaya Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2015
Gönderilme Tarihi 10 Temmuz 2014
Yayımlandığı Sayı Yıl 2015 Cilt: 3 Sayı: 1

Kaynak Göster

APA Ermiş, T., & Kaya, R. (2015). ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE. Konuralp Journal of Mathematics, 3(1), 103-114.
AMA Ermiş T, Kaya R. ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE. Konuralp J. Math. Nisan 2015;3(1):103-114.
Chicago Ermiş, T., ve R. Kaya. “ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE”. Konuralp Journal of Mathematics 3, sy. 1 (Nisan 2015): 103-14.
EndNote Ermiş T, Kaya R (01 Nisan 2015) ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE. Konuralp Journal of Mathematics 3 1 103–114.
IEEE T. Ermiş ve R. Kaya, “ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE”, Konuralp J. Math., c. 3, sy. 1, ss. 103–114, 2015.
ISNAD Ermiş, T. - Kaya, R. “ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE”. Konuralp Journal of Mathematics 3/1 (Nisan 2015), 103-114.
JAMA Ermiş T, Kaya R. ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE. Konuralp J. Math. 2015;3:103–114.
MLA Ermiş, T. ve R. Kaya. “ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE”. Konuralp Journal of Mathematics, c. 3, sy. 1, 2015, ss. 103-14.
Vancouver Ermiş T, Kaya R. ON THE ISOMETRIES OF 3-DIMENSIONAL MAXIMUM SPACE. Konuralp J. Math. 2015;3(1):103-14.
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