Research Article
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Regular Polygons in Some Models of Protractor Geometry

Year 2009, Volume: 2 Issue: 2, 76 - 87, 30.10.2009

H.barış Çolakoğlu Rüstem Kaya

Abstract


Keywords

Maximum distance Taxicab distance Chinese checker distance Euclidean distance Protractor geometry Regular polygon

References

  • [1] Akc¸a, Z. and Kaya, R., On the Taxicab Trigonometry, Journal of Inst. of Math. &Comp. Sci., 10 (1997), no. 3, 151-159.
  • [2] Çolakoğlu, H. B. and Kaya, R., A Synthetic Approach to the Taxicab Circles, Applied Science (APPS), 9 (2007), 67-77.
  • [3] Çolakoğlu, H. B. and Kaya, R., Regular Polygons in the Taxicab Plane, Scientific and Pro- fessional Information Journal of Croatian Society for Constructive Geometry and Computer Graphics (KoG), 12 (2008), 27-33.
  • [4] Çolakoğlu, H. B. and Kaya, R., On the Regular Polygons in the Chinese Checker Plane, Applied Sciences (APPS), 10 (2008), 29-37.
  • [5] Divjak, B., Notes on Taxicab Geometry, Scientific and Professional Information Journal of Croatian Society for Constructive Geometry and Computer Graphics (KoG), 5 (2000), 5-9.
  • [6] Kaya, R., Gelişgen, Ö ., Ekmekçi, S. and Bayar, A., Group of Isometries of CC-Plane, Missouri Journal of Mathematical Sciences, 18 (2006), no. 3, 221-233.
  • [7] Milmann, R. S. and Parker, G. D., Geometry; A Metric Approach with Models, Springer, 1991.
  • [8] Salihova, S., On the Geometry of Maximum Metric, Ph. D. Thesis, Department of Mathe- matics, Eskişehir Osmangazi University, 2006.
  • [9] Schattschneider, D. J., The Taxicab Group, The American Mathematical Monthly, 91 (1984), no. 7, 423-428.
  • [10] So, S. S., Recent Developments in Taxicab Geometry, Cubo Matematica Educacional, 4 (2002), no. 2, 76-96.
  • [11] Thompson K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon, 11 (2000), no. 2, 87-96.
  • [12] http://eom.springer.de/p/p073580.htm ; Encyclopaedia of Mathematics, Springer-Verlag, 2002.
  • [13] http://mathsrv.ku-eichstaett.de/MGF/homes/grothmann/java/zirkel /doc en/index.html.

Year 2009, Volume: 2 Issue: 2, 76 - 87, 30.10.2009

H.barış Çolakoğlu Rüstem Kaya

Abstract

References

  • [1] Akc¸a, Z. and Kaya, R., On the Taxicab Trigonometry, Journal of Inst. of Math. &Comp. Sci., 10 (1997), no. 3, 151-159.
  • [2] Çolakoğlu, H. B. and Kaya, R., A Synthetic Approach to the Taxicab Circles, Applied Science (APPS), 9 (2007), 67-77.
  • [3] Çolakoğlu, H. B. and Kaya, R., Regular Polygons in the Taxicab Plane, Scientific and Pro- fessional Information Journal of Croatian Society for Constructive Geometry and Computer Graphics (KoG), 12 (2008), 27-33.
  • [4] Çolakoğlu, H. B. and Kaya, R., On the Regular Polygons in the Chinese Checker Plane, Applied Sciences (APPS), 10 (2008), 29-37.
  • [5] Divjak, B., Notes on Taxicab Geometry, Scientific and Professional Information Journal of Croatian Society for Constructive Geometry and Computer Graphics (KoG), 5 (2000), 5-9.
  • [6] Kaya, R., Gelişgen, Ö ., Ekmekçi, S. and Bayar, A., Group of Isometries of CC-Plane, Missouri Journal of Mathematical Sciences, 18 (2006), no. 3, 221-233.
  • [7] Milmann, R. S. and Parker, G. D., Geometry; A Metric Approach with Models, Springer, 1991.
  • [8] Salihova, S., On the Geometry of Maximum Metric, Ph. D. Thesis, Department of Mathe- matics, Eskişehir Osmangazi University, 2006.
  • [9] Schattschneider, D. J., The Taxicab Group, The American Mathematical Monthly, 91 (1984), no. 7, 423-428.
  • [10] So, S. S., Recent Developments in Taxicab Geometry, Cubo Matematica Educacional, 4 (2002), no. 2, 76-96.
  • [11] Thompson K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon, 11 (2000), no. 2, 87-96.
  • [12] http://eom.springer.de/p/p073580.htm ; Encyclopaedia of Mathematics, Springer-Verlag, 2002.
  • [13] http://mathsrv.ku-eichstaett.de/MGF/homes/grothmann/java/zirkel /doc en/index.html.
There are 13 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

H.barış Çolakoğlu This is me

Rüstem Kaya This is me

Publication Date October 30, 2009
Published in Issue Year 2009 Volume: 2 Issue: 2

Cite

APA Çolakoğlu, H., & Kaya, R. (2009). Regular Polygons in Some Models of Protractor Geometry. International Electronic Journal of Geometry, 2(2), 76-87.
AMA Çolakoğlu H, Kaya R. Regular Polygons in Some Models of Protractor Geometry. Int. Electron. J. Geom. October 2009;2(2):76-87.
Chicago Çolakoğlu, H.barış, and Rüstem Kaya. “Regular Polygons in Some Models of Protractor Geometry”. International Electronic Journal of Geometry 2, no. 2 (October 2009): 76-87.
EndNote Çolakoğlu H, Kaya R (October 1, 2009) Regular Polygons in Some Models of Protractor Geometry. International Electronic Journal of Geometry 2 2 76–87.
IEEE H. Çolakoğlu and R. Kaya, “Regular Polygons in Some Models of Protractor Geometry”, Int. Electron. J. Geom., vol. 2, no. 2, pp. 76–87, 2009.
ISNAD Çolakoğlu, H.barış - Kaya, Rüstem. “Regular Polygons in Some Models of Protractor Geometry”. International Electronic Journal of Geometry 2/2 (October 2009), 76-87.
JAMA Çolakoğlu H, Kaya R. Regular Polygons in Some Models of Protractor Geometry. Int. Electron. J. Geom. 2009;2:76–87.
MLA Çolakoğlu, H.barış and Rüstem Kaya. “Regular Polygons in Some Models of Protractor Geometry”. International Electronic Journal of Geometry, vol. 2, no. 2, 2009, pp. 76-87.
Vancouver Çolakoğlu H, Kaya R. Regular Polygons in Some Models of Protractor Geometry. Int. Electron. J. Geom. 2009;2(2):76-87.