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Real algebraic curves of constant width

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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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Acknowledgments

Chatchawan Panraksa is supported by the Seed Grant Research Fund of Mahidol University International College No. 015/2016.

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Authors and Affiliations

  1. Applied Mathematics Program, Science Division, Mahidol University International College, 999 Phutthamonthon 4 Road, Salaya, Nakhonpathom, 73170, Thailand

    Chatchawan Panraksa

  2. Department of Mathematics, University of Maryland, College Park, MD, 20742, USA

    Lawrence C. Washington

Authors
  1. Chatchawan Panraksa
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  2. Lawrence C. Washington
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Correspondence to Lawrence C. Washington.

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Panraksa, C., Washington, L.C. Real algebraic curves of constant width. Period Math Hung 74, 235–244 (2017). https://doi.org/10.1007/s10998-016-0149-9

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  • DOI: https://doi.org/10.1007/s10998-016-0149-9

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