Research Article

ON THE CIRCULAR INVERSION IN MAXIMUM PLANE

Volume: 2 Number: 2 October 30, 2020
EN

ON THE CIRCULAR INVERSION IN MAXIMUM PLANE

Abstract

In this paper, we investigate general properties and basic concepts of circular inversions in the maximum plane. We delve into cross-ratio and harmonic conjugates under maximum circular inversion. Furthermore, we illustrated figures related to inversions obtained in the maximum plane via Mathematica.

Keywords

References

  1. [1] Audin, M. (2003) Geometry, Springer-Verlag Berlin.
  2. [2] Bayar A., Ekmekçi S. (2014) On circular inversions in taxicab plane, Journal of Advanced Research in Pure Mathematics, Vol. 6, Issue 4, 33-39.
  3. [3] Blair, D. E. (2000) Inversion Theory and Conformal Mapping, American Math. Society, 9, 1.
  4. [4] Gelişgen Ö., Ermiş T. (2019) Some Properties of Inversions in Alpha Plane, Forum Geometricorum, 19, 1-9.
  5. [5] Salihova, S. (2006) On The Geometry of Maximum Metric, Ph.D. Thesis, Department of Math. Osmangazi University.
  6. [6] Sezgin N. (2014) On Inversion In The Euclidean Geometry and Taxicab Geometry, Master of Science thesis, Osmangazi University.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

October 30, 2020

Submission Date

November 25, 2020

Acceptance Date

January 10, 2021

Published in Issue

Year 2020 Volume: 2 Number: 2

APA
Can, Z., & Yüca, G. (2020). ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. Ikonion Journal of Mathematics, 2(2), 26-34. https://izlik.org/JA42NR83EM
AMA
1.Can Z, Yüca G. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm. 2020;2(2):26-34. https://izlik.org/JA42NR83EM
Chicago
Can, Zeynep, and Gülsüm Yüca. 2020. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics 2 (2): 26-34. https://izlik.org/JA42NR83EM.
EndNote
Can Z, Yüca G (October 1, 2020) ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. Ikonion Journal of Mathematics 2 2 26–34.
IEEE
[1]Z. Can and G. Yüca, “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”, ikjm, vol. 2, no. 2, pp. 26–34, Oct. 2020, [Online]. Available: https://izlik.org/JA42NR83EM
ISNAD
Can, Zeynep - Yüca, Gülsüm. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics 2/2 (October 1, 2020): 26-34. https://izlik.org/JA42NR83EM.
JAMA
1.Can Z, Yüca G. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm. 2020;2:26–34.
MLA
Can, Zeynep, and Gülsüm Yüca. “ON THE CIRCULAR INVERSION IN MAXIMUM PLANE”. Ikonion Journal of Mathematics, vol. 2, no. 2, Oct. 2020, pp. 26-34, https://izlik.org/JA42NR83EM.
Vancouver
1.Zeynep Can, Gülsüm Yüca. ON THE CIRCULAR INVERSION IN MAXIMUM PLANE. ikjm [Internet]. 2020 Oct. 1;2(2):26-34. Available from: https://izlik.org/JA42NR83EM