The Nature of Length, Area, and Volume in Taxicab Geometry

Mathematics – Metric Geometry

Scientific paper

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18 pages, 12 figures

Scientific paper

While the concept of straight-line length is well understood in taxicab
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.

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