EN
On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane
Abstract
In present article, we introduce an inversion with respect to a Chinese Checkers circle in the Chinese Checkers plane, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the images of lines, planes and Chinese Checkers circle in the Chinese Checkers plane.
Keywords
References
- Krause, E. F. (1975). Taxicab geometry, Addison-Wesley, Menlo Park, California.
- Chen, G. (1992). Lines and circles in Taxicab geometry. Master Thesis, Department of Mathematic and Computer Science, Central Missouri State Uni.
- Minkowski, H. (1967). Gasammelte abhandlungen, Chelsea Publishing Co., New York.
- Gelisgen, Ö., & Kaya, R. (2008). The Taxicab space group. Acta Mathematica Hungarica, 122(1), 187-200.
- Kaya, R., Akça, Z., Günaltılı, İ., & Özcan, M. (2000). General equation for Taxicab conics and their classification. Mitt.Math. Ges. Hamburg, 19, 135-148.
- Menger, K., & Sutton, R. M. (1952). You will like geometry. American Journal of Physics, 20(8), 521-521.
- Schattschneider, D. J. (1984). The Taxicab group. American Mathematical Monthly, 91, 423-428.
- Akça Z., & Kaya, R. (2004). On the distance formulae in three dimensional Taxicab space. Hadronic Journal, 27(5), 521-532.
Details
Primary Language
English
Subjects
Mathematical Sciences
Journal Section
Research Article
Publication Date
December 30, 2022
Submission Date
December 7, 2022
Acceptance Date
December 22, 2022
Published in Issue
Year 2022 Volume: 4 Number: 2
APA
Pekzorlu, A., & Bayar, A. (2022). On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry, 4(2), 28-34. https://izlik.org/JA79MY86XN
AMA
1.Pekzorlu A, Bayar A. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG. 2022;4(2):28-34. https://izlik.org/JA79MY86XN
Chicago
Pekzorlu, Adnan, and Ayşe Bayar. 2022. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry 4 (2): 28-34. https://izlik.org/JA79MY86XN.
EndNote
Pekzorlu A, Bayar A (December 1, 2022) On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. Hagia Sophia Journal of Geometry 4 2 28–34.
IEEE
[1]A. Pekzorlu and A. Bayar, “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”, HSJG, vol. 4, no. 2, pp. 28–34, Dec. 2022, [Online]. Available: https://izlik.org/JA79MY86XN
ISNAD
Pekzorlu, Adnan - Bayar, Ayşe. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry 4/2 (December 1, 2022): 28-34. https://izlik.org/JA79MY86XN.
JAMA
1.Pekzorlu A, Bayar A. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG. 2022;4:28–34.
MLA
Pekzorlu, Adnan, and Ayşe Bayar. “On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane”. Hagia Sophia Journal of Geometry, vol. 4, no. 2, Dec. 2022, pp. 28-34, https://izlik.org/JA79MY86XN.
Vancouver
1.Adnan Pekzorlu, Ayşe Bayar. On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane. HSJG [Internet]. 2022 Dec. 1;4(2):28-34. Available from: https://izlik.org/JA79MY86XN