Research Article

On the Chinese Checkers Circular Inversions in the Chinese Checkers Plane

Volume: 4 Number: 2 December 30, 2022
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

  1. Krause, E. F. (1975). Taxicab geometry, Addison-Wesley, Menlo Park, California.
  2. Chen, G. (1992). Lines and circles in Taxicab geometry. Master Thesis, Department of Mathematic and Computer Science, Central Missouri State Uni.
  3. Minkowski, H. (1967). Gasammelte abhandlungen, Chelsea Publishing Co., New York.
  4. Gelisgen, Ö., & Kaya, R. (2008). The Taxicab space group. Acta Mathematica Hungarica, 122(1), 187-200.
  5. Kaya, R., Akça, Z., Günaltılı, İ., & Özcan, M. (2000). General equation for Taxicab conics and their classification. Mitt.Math. Ges. Hamburg, 19, 135-148.
  6. Menger, K., & Sutton, R. M. (1952). You will like geometry. American Journal of Physics, 20(8), 521-521.
  7. Schattschneider, D. J. (1984). The Taxicab group. American Mathematical Monthly, 91, 423-428.
  8. 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