Geometry of some taxicab curves
Maja Petrovic, Branko Malesevic, Bojan Banjac, Ratko Obradovic
TL;DR
This paper explores the geometric properties of specific curves in the Taxicab metric, including second-order curves and trifocal ellipses, and defines their area and perimeter.
Contribution
It introduces the geometry of second-order curves and trifocal ellipses in Taxicab metric, providing formulas for their area and perimeter.
Findings
Characterization of second-order curves in Taxicab geometry
Formulas for area and perimeter of specific Taxicab curves
Presentation of trifocal ellipses in Taxicab metric
Abstract
In this paper we present geometry of some curves in Taxicab metric. All curves of second order and trifocal ellipse in this metric are presented. Area and perimeter of some curves are also defined.
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Taxonomy
TopicsMathematics and Applications