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

Fuente: arXiv
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Autore principale: Thompson, Kevin P.
Natura: Preprint
Pubblicazione: 2011
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author Thompson, Kevin P.
author_facet Thompson, Kevin P.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_1101_2922
institution arXiv
publishDate 2011
record_format arxiv
spellingShingle The Nature of Length, Area, and Volume in Taxicab Geometry
Thompson, Kevin P.
Metric Geometry
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.
title The Nature of Length, Area, and Volume in Taxicab Geometry
topic Metric Geometry
url https://arxiv.org/abs/1101.2922