On Some Regular Polyhedrons in the Taxicab \(3\)-Space

Süleyman Yuksel1, Münnevver Ozcan2
1POLATLI ARTS AND SCIENCES FACULTY, DEPARTMENT OF MATHEMATICS, GAZI UNI- VERSITY, ANKARA, TURKEY;
2Department of Mathematics and Computer, Osmangazi University, Eskisehir, Turkey;

Abstract

In this study, it has been researched which Euclidean regular polyhedrons are also taxicab regular and which are not. The existence of non-Euclidean taxicab regular polyhedrons in the taxicab \(3\)-space has also been investigated.