Recent Developments in Taxicab Geometry

Abstract

Since the time of René Descartes, analytic geometry, which is based on the Euclidean metric, has been a popular area of research. In recent years, mathematicians begin to investigate geometry using other metrics such as the taxicab metric. In this paper, results from the research in traxicab metric and related areas are presented. Various ideas and directions for research in taxicab geometry are introduced and discussed to stimulate further research interest in this area.