THE NATURE OF LENGTH, AREA, AND VOLUME IN TAXICAB GEOMETRY

Authors : Kevin P. THOMPSON

Pages : 193-207

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Publication Date : 2011-10-30

Article Type : Research Paper

Abstract : While the concept of straight-line length is well understood intaxicab geometry, little research has been done into the length of curves or the nature of area and volume in this geometry. This paper sets forth a comprehensive view of the basic dimensional measures in taxicab geometry.
Keywords : taxicab geometry, distance, integration, arc length, area, volume