TY  - JOUR
TI  - EQUIVALENCE CONDITIONS OF TWO SYSTEMS OF VECTORS IN THE TAXICAB PLANE AND ITS APPLICATIONS TO TAXICAB POLYGONS
AB  - This study presents the conditions of MT (2)-equivalence for two systems of vectors fx1; x2; x3g and fy1; y2; y3g in R2 T , where MT (2) is the group of all isometries of the 2-dimensional taxicab space R2 T . Firstly a min- imal complete system of MT (2)-invariants of fx1; x2; x3g is obtained. Then, using the conditions of MT (2)-equivalence, an answer is given to the open prob- lem posed in [10, p.428]. Furthermore, an algorithm is given for constructing taxicab regular polygons in terms of MT (2)-invariants. This algorithm is gen- eral and useful to construct the taxicab regular 2n-gons and gives a tool to solve special cases of the open problem posed in [2, p.32]. Besides, both the con- ditions of the taxicab regularity of Euclidean regular polygons and Euclidean regularity of taxicab regular polygons are given in terms of MT (2)-invariants.
AU  - ören, idris
AU  - ÇOBAN, HÜSNÜ ANIL
DO  - 10.31801/cfsuasmas.666357
PY  - 2020
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 69
IS  - 1
SN  - 1303-5991
SP  - 413
EP  - 430
DB  - TRDizin
UR  - http://search/yayin/detay/1204111
ER  -