ON THE CHINESE CHECKER SPHERE

Year 2009, Issue: 019, 41 - 46, 15.08.2009

Mine Turan Nihal Dondurmacı

Abstract

The object of the present paper is to study define the
sphere in a particular metric on and determine the    pieces
of the sphere which is formed by these planes. It  is used the distance between any two points
at three dimensional Chinese Checker space.

Keywords

Chinese Checker plane, Chinese Checker space, Chinese Checker distance

ÇİN DAMA KÜRESİ ÜZERİNE

Abstract

Bu çalışmada özel metrikli  uzayında küreyi
tanımlayarak, küreyi oluşturan parçalar belirlenmektedir. Bunu yaparken özel
metrik olarak, üç boyutlu Çin Dama Uzayında iki nokta arasındaki uzaklığı veren
Çin Dama metriği kullanılmaktadır.

Keywords

Çin Dama düzlemi, Çin Dama uzayı, Çin Dama uzaklığı

References

• [1] Dondurmacı, N., “On The Chinese Checker Space”, MsC Thesis, Dumlupınar University, Department of Mathematics, (2008).
• [2] Akça, Z., Kaya, R., “On The Distance Formula in Three Dimensional Taxicab Space”, Hadronic Journal, Vol. 27, No.5, 521-532, (2004).
• [3] Chen, G., “Lines and Circles in Taxicab Geometry”, MsC Thesis, Central Missourt State University, Department of Mathematics and Computer Ccience (1992).
• [4] Gelişgen, Ö., Kaya, R., and Özcan, M., “Distance Formula in the Chinese Checker Space”, Int. J. Pure Appl. Math., 26,1,35-44, (2005).
• [5] Krause, E.F., “Taxicab Geometry”, Addison-Wesley, Menlo Park California, (1975).
• [6] Turan, M., “On the Chinese Checker Conics”, Ph.D. Thesis, Osmangazi University, Department of Mathematics, (2004).
• [7] Uymaz, A.Ç., “Chinese Checker Circle and Its properties”, MsC. Thesis, Osmangazi University, Department of Mathematics, (2002).
• [8] http: www. jgames.com/chinesecheckerst