Journals / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 2

The Generalized Taxicab Group

Pages
83–89
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this study, we determine the generalized taxicab group consisting all isometries of the real plane

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we determine the generalized taxicab group consisting all isometries of the real plane
📊
Key Findings & Data:In this study, we determine the generalized taxicab group consisting all isometries of the real plane
💡
Conclusion & Impact:In this study, we determine the generalized taxicab group consisting all isometries of the real plane
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Taxicab metric · generalized taxicab metric · distance

Abstract

In this study, we determine the generalized taxicab group consisting all isometries of the real plane

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Cite This Article

ÇOLAKOĞLU, H. B. (2022). The Generalized Taxicab Group. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 2, 83–89. https://ajindex.com/articles/539660

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References (15)

  1. Akça, Z. and Kaya, R., On the taxicab trigonometry. Jour. of Inst. of Math. Comp. Sci. (Math. Ser.) 10 (1997), no.3, 151-159
  2. Çolako˘ glu, H.B. and Kaya, R., A generalization of some well-known distances and related isometries. Math. Commun. 16 (2011), 21-35
  3. Ekmekçi, E., Bayar, A. and Altınta¸s, A.K., On the group of isometries of the generalized taxicab plane. International Journal of Contemporary Mathematical Sciences 10 (2015), no.4, 159-166
  4. Ekmekçi, S., Akça, Z. and Altınta¸s, A.K., On trigonometric functions and norm in the generalized taxicab metric. Mathematical Sciences And Applications E-Notes 3 (2015), no.2, 27-33
  5. Geli¸sgen, Ö. and Kaya, R., The taxicab space group. Acta Math. Hung. 122 (2009), no.1-2, 187-200
  6. Kaya, R., Akça, Z., Günaltılı, ˙I. and Ö zcan, M., General equation for taxicab conics and their classification. Mitt. Math. Ges. Hamburg 19 (2000), 135-148
  7. Kocayusufoglu, ˙I. and Özdamar, E., Isometries of taxicab geometry. Commum. Fac. Sci. Univ. Ank. Series A1 47 (1998), 73-83
  8. Krause, E.F., Taxicab Geometry. Dover, New York, 1986
  9. Martin, G.E., Transformation Geometry. Springer-Verlag, New York Inc., 1997
  10. Menger, K., You Will Like Geometry. Guidebook of Illinois Institute of Technology Geometry Exhibit, Museum of Science and Industry, Chicago, Illinois, 1952
  11. Richard, S. M. and George, D.P., Geometry, A Metric Approach With Models. Springer-Verlag, New York, 1981
  12. Schattschneider, D.J., The taxicab group. American Mathematical Monthly 91 (1984), no.7, 423-428
  13. Thompson, K.P. and Dray T., Taxicab Angles and Trigonometry. The Pi Mu Epsilon Journal 11 (2000), no.2, 87-96
  14. Thompson, K.P., The nature of length, area, and volume in taxicab geometry. International Electronic Journal of Geometry 4 (2011), no.2, 193-207
  15. Wallen, L.J., Kepler, the taxicab metric, and beyond: An isoperimetric primer. The College Mathematics Journal 26 (1995), no.3, 178-190.