Presentation Title

Curves of Constant Width Using Non Euclidean Metrics

Presenter Information

Amanda R. PetrowFollow

Presentation Type

Oral Presentation

School

School of Sciences and Social Sciences

Discipline

Mathematics

Mentor

Vincent Ferlini

Abstract

Abstract: A convex figure in the plane is a set of points that completely contains the line segment that joins any two points of the figure. Convex sets have the property that given any direction, parallel lines in that direction, called supporting lines, can be drawn so each line intersects the boundary of the figure and the figure is contained between the parallel lines. A curve of constant width is a convex figure where the Euclidean distance between any two supporting lines is the same. This talk will present results obtained concerning curves of constant width using two other distance metrics that are not Euclidean.

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Curves of Constant Width Using Non Euclidean Metrics

Abstract: A convex figure in the plane is a set of points that completely contains the line segment that joins any two points of the figure. Convex sets have the property that given any direction, parallel lines in that direction, called supporting lines, can be drawn so each line intersects the boundary of the figure and the figure is contained between the parallel lines. A curve of constant width is a convex figure where the Euclidean distance between any two supporting lines is the same. This talk will present results obtained concerning curves of constant width using two other distance metrics that are not Euclidean.