Isometries of taxicab geometry

Abstract

The taxicab metric, of course, was known before the taûcab geometry was introduced in 1975. Since then, the studies have shown that the taxicab geometry is better model in urban world. The defînition of inner-product and norm in taxicab geometry are given in [1]. In this paper, we will discuss some properties of taxicab norm and the isometries of taxicab geometry.