Real algebraic curves of constant width |
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Authors: | Chatchawan Panraksa Lawrence C Washington |
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Institution: | 1.Applied Mathematics Program, Science Division,Mahidol University International College,Salaya,Thailand;2.Department of Mathematics,University of Maryland,College Park,USA |
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Abstract: | Rabinowitz constructed a parametric curve of constant width and expressed it as a plane algebraic curve; however, the algebraic curve also contains isolated points separate from the original curve. We show how to modify his example in order to produce a curve with no isolated points. We then conjecture a method for producing a family of such curves and prove the conjecture in several cases. |
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