ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE

Adnan PEKZORLU, (Osmangazi Üniversitesi, Matematik Bilgisayar Bölümü, Eskişehir, TÜRKİYE)
. cfsuasmas. (Osmangazi Üniversitesi, Matematik Bilgisayar Bölümü, Eskişehir, TÜRKİYE)
Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
0 0
Yıl: 2020 Cilt: 69 Sayı: 2 Sayfa Aralığı: 1498 - 1507 Metin Dili: İngilizce DOI: 10.31801/cfsuasmas.567533 İndeks Tarihi: 09-09-2021

ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE

Öz:
In this paper, we study an inversion with respect to a Chinese checkers sphere in the three dimensional Chinese Checkers space, and prove several properties of this inversion. We also study cross ratio, harmonic con- jugates and the inverse images of lines, planes and Chinese Checkers spheres in three dimensional Chinese Checkers space.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • [1] Blair, D., Inversion Theory and Conformal Mapping, Student Mathematical Gibrary, Ameri- can Mathematical Society, 9, 2000.
  • [2] Blåsjö Jakob, V., Steiner's Systematische Entwickelung: The Culmination of Classical Geom- etry, fhe Mathematical Intelligencer, 31(1) (2009), 21-29.
  • [3] Childress, N., Inversion with respect to the central conics, Mathematics Magazine, 38(3) (1965).
  • [4] Deza, E., Deza, M., Dictionary of Distances, Elsevier Science, 2006.
  • [5] Gelisgen, Ö., Kaya, R., The Taxicab Space Group, Acta Mathematica Hungarica, 122 (1) (2008), 187-200.
  • [6] Kaya, R., Akça, Z., Günaltılı, I˙., Özcan, M., General Equation For taxicab Conics and Their Classification, Mitt. Math. Ges. Hamburg, 19 (2000), 135-148.
  • [7] Krause, E. F., Taxicab Geometry, Addison-Weley, Menlo Park, California,1975.
  • [8] Menger, K., You Will Like Geometry, Guildbook of Illinois Institute of Technology Geometry Exhibit, Museum of Science & Industry,Chicago, Illinois, 1952.
  • [9] Minkowski, H., Gasammelte Abhandlungen, Chelsea Publishing Co., New York,1967.
  • [10] Nickel, J.A., A Budget of Inversion, Math. Gomput. Modelling, 21(6) (1995), 87-93.
  • [11] Özcan, M., Kaya, R., On the Ratio of Directed Lengths in the Taxicab Plane and Related Properties, Missouri Journal of Mathematical Sciences, 14(2) (2002).
  • [12] Gelisgen, Ö., Kaya, R., Özcan, M., Distance Formulae in the Chinese Checker Space, Int.J. Pure Appl. Math., 26(1) (2006), 35-44.
  • [13] Ramirez, J.L., An Introduction to Inversion in an Ellipse, arXiv:1309.6378v1, Sept. 2013.
  • [14] Schattschneider, D. J., The Taxicab Group, American Mathematical Monthly, 91 (1984), 423-428.
  • [15] Kaya, R., Gelisgen, Ö., Bayar, A., Ekmekçi, S., Group of Isometries of CC-Plane, Missouri J. Math. Sci., 18 (2006), 221-233.
  • [16] Ramirez, J.L., Rubiano, G. N., A generalization of the spherical inversion, International Journal of Mathematical Education in Science and fechnology, 48(1) (2016), 132-149.
  • [17] Bayar,A., Ekmekçi, S., On circular inversions in taxicab plane. J. Adv. Res. Pure Math., 6(4) (2014) , 33–39.
  • [18] Akca, Z., Kaya, R., On the Distance Formulae In three Dimensional Taxicab Space, Hadronic Journal, 27 (2006), 521-532.
  • [19] Gelisgen, Ö., Ermi¸s, T., Some properties of inversions in alpha plane, Forum Geometricorum, 19 (2019), 1-9.
  • [20] Ramirez, J.L., Rubiano, G. N., Jurcic-Zlobec, B., Generating fractal patterns by using p—circle, Fractals, 23(4) (2015), 1-13.
  • [21] Pekzorlu, A., Bayar, A., Taxicab Spherical Inversions in Taxicab Space, Journal Of Mahani, Math. Research Genter, 9(1-2) (2020), 45-54.
  • [22] Chen, G., Lines and Circles in Taxicab Geometry Master Thesis, Department of Mathematic and Computer Science, Central Missouri State Uni, 1992.
APA pekzorlu a, BAYAR A (2020). ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. , 1498 - 1507. 10.31801/cfsuasmas.567533
Chicago pekzorlu adnan,BAYAR AYSE ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. (2020): 1498 - 1507. 10.31801/cfsuasmas.567533
MLA pekzorlu adnan,BAYAR AYSE ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. , 2020, ss.1498 - 1507. 10.31801/cfsuasmas.567533
AMA pekzorlu a,BAYAR A ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. . 2020; 1498 - 1507. 10.31801/cfsuasmas.567533
Vancouver pekzorlu a,BAYAR A ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. . 2020; 1498 - 1507. 10.31801/cfsuasmas.567533
IEEE pekzorlu a,BAYAR A "ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE." , ss.1498 - 1507, 2020. 10.31801/cfsuasmas.567533
ISNAD pekzorlu, adnan - BAYAR, AYSE. "ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE". (2020), 1498-1507. https://doi.org/10.31801/cfsuasmas.567533
APA pekzorlu a, BAYAR A (2020). ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69(2), 1498 - 1507. 10.31801/cfsuasmas.567533
Chicago pekzorlu adnan,BAYAR AYSE ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69, no.2 (2020): 1498 - 1507. 10.31801/cfsuasmas.567533
MLA pekzorlu adnan,BAYAR AYSE ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.69, no.2, 2020, ss.1498 - 1507. 10.31801/cfsuasmas.567533
AMA pekzorlu a,BAYAR A ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1498 - 1507. 10.31801/cfsuasmas.567533
Vancouver pekzorlu a,BAYAR A ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2020; 69(2): 1498 - 1507. 10.31801/cfsuasmas.567533
IEEE pekzorlu a,BAYAR A "ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 69, ss.1498 - 1507, 2020. 10.31801/cfsuasmas.567533
ISNAD pekzorlu, adnan - BAYAR, AYSE. "ON THE CHINESE CHECKERS SPHERICAL INVERSIONS IN THREE DIMENSIONAL CHINESE CHECKERS SPACE". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 69/2 (2020), 1498-1507. https://doi.org/10.31801/cfsuasmas.567533
Sayfa Oluşturulma Tarihi
23-04-2024 19:14

İLETİŞİM

TÜBİTAK ULAKBİM TR Dizin

Yüzüncüyıl, İşçi Blokları Mahallesi

Muhsin Yazıcıoğlu Caddesi No:51/C

06530 Çankaya / ANKARA +90 (312) 298 92 00

trdizin@tubitak.gov.tr

TÜBİTAK ULAKBİM Ulusal Akademik Ağ ve Bilgi Merkezi Cahit Arf Bilgi Merkezi © Tüm Hakları Saklıdır. Gizlilik Politikası Kullanım Şartları