THE TAXICAB HELIX ON TAXICAB CYLINDER
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- [1] Akc¸a, Z. and Kaya, R., On The Taxicab Trigonometry, Jour. of Inst. of Math&Comp.
Sci(Math.Ser), 10(1997), no. 3, 151-159.
- [2] Akc¸a, Z. and Kaya, R., On The Distance Formulae in Three Dimensional Taxicab Space, Hadronic
Journal, 27(2004), no. 5, 521-532.
- [3] Bayar, A., Ekmekçi, S. and O¨ zcan, M., On Trigonometric Functions and Cosine and Sine
Rules in Taxicab Plan, International Electronic Journal of Geometry (IEJG), 2(2009), no. 1, 17-24.
- [4] Caballero, D., Taxicab Geometry; some problems and solution for square grid-based fire spread
simulation, V International Conference on Forest Fire Research D. X. Viegas (Ed.), 2006.
- [5] Divjak, B., Notes on Taxicab Geometry, KoG 5(2000), 5-9.
- [6] Ekici, C., Kocayusufog˘lu, I˙. and Ak¸ca, Z., The Norm in Taxicab Geometry, Tr. Jour. of
Mathematics, 22(1998), 295-307.
- [7] Gelişgen,Ö . and Kaya, R., The Taxicab Space Group, Acta Mathematica Hungarica,
122(2009), no. 1-2, 187-200.
- [8] Gray, A., Modern Differential Geometry of Curves and Surfaces, CRS Press, Inc. 1993.
- [9] Hacısalihoğlu, H. H., 2 ve 3 Boyutlu uzaylarda Analitik Geometri, Ankara, 1995.
- [10] Izquierdo, A. F., Geometria y Topologia para entender las helices de la Naturaleza, San
Alberto, 2009.
- [11] Kaya, R., Analitik Geometri, Bilim Teknik Yayınevi, Eski¸sehir, 2002.
- [12] Çolakoğlu, B. H. and Kaya, R., Volume of a Tetrahedron in the Taxicab Space, Missouri
Journal of Mathematical Sciences, 21(2009), no. 1, 21-27.
- [13] Çolakoğlu, B. H. and Kaya, R., Regular Polygons in Some Models of Protractor Geometry,
International Electronic Journal of Geometry (IEJG), 2(2009), no. 2, 76-87.
- [14] Kocayusufoğlu, İ, Akça, Z. and Ekici, C., The Inner-Product of Taxicab Geometry, The
Scientific J. The Kazakh State National University, on the section Mathematics, Mechanics and
Informatics, 20(2000), no. 1, 33-39.
- [15] Kocayusufoğu, İ. and Ekici, C., Some Area Problems in Taxicab Geometry, Jour. of Inst. of
Math&Comp. Sci(Math. Ser.), 12(1999), no. 2, 95-99.
- [16] Kocayusufoğlu, İ. and Özdamar, E., The Iso-Taxicab Gauss Curvature, Differential Geometry,
Dynamical Systems, 7(2006), 138-143.
- [17] Kocayusufoğlu, İ. and Özdamar, E., Isometries of Taxicab Geometry, Commun. Fac. Sci.
Univ. Ank. Series A1, 47(1998), 73-83.
- [18] Krause, E. F., Taxicab Geometry, Addison-Wesley, Menlo Park, NJ, 1975.
- [19] Morera, D. M., Computing Geodesic Paths on Manifolds, 3D Graphic Systems, IMPA, 2003.
- [20] Özcan, M. and Kaya, R., On the Ratio of Driected Lengths in the Taxicab Plane and Related
Properties, Missouri Journal of Mathematical Sciences, 14(2002), 107-117.
- [21] Özcan, M. and Kaya, R., Area of a Triangle in Terms of the Taxicab Distance, Missouri
Jour. of Mathematical Sciences, 15(2003), 178-185.
- [22] O’ Neill, B., Elementary Differential Geometry, Academic PressInc., 1966.
- [23] So, S. S., Recent Developments in Taxicab Geometry, Cubo Matematica Educacional 4(2002), no.
2, 76-96.
- [24] Sowell, K. O., Taxicab Geometry-A New Slant, Mathematics Magazine 62(1989), 238-248.
- [25] Thompson, K. and Dray, T., Taxicab Angles and Trigonometry, Pi Mu Epsilon, 11(2000),
87-96.
- [26] http://en.wikipedia.org/wiki/Helix.