Recent Developments in Taxicab Geometry

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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.

Keywords

Bilinear , diamond trigonometric functions , conic sections , eccentricity , iso-taxicab metric , norm , positive definite , pyramidal sections , taxicab circles , taxicab directed distance , taxicab ellipses , taxicab geometry , taxicab hyperbolas , taxicab inner product , taxicab trigonometry
  • Shing So Department of Mathematics and Computer Science, Central Missouri 64093, USA.
  • Pages: 75–92
  • Date Published: 2002-06-01
  • Vol. 4 No. 2 (2002): CUBO, Matemática Educacional

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Published

2002-06-01

How to Cite

[1]
S. So, “Recent Developments in Taxicab Geometry”, CUBO, vol. 4, no. 2, pp. 75–92, Jun. 2002.

Issue

Vol. 4 No. 2 (2002): CUBO, Matemática Educacional

Section

Articles