Illinois Journal of Mathematics

Intersection properties of curves of constant width

Bruce B. Peterson

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Abstract

Two curves (boundaries of $2$-dimensional disks) of constant width in the plane, whose interiors intersect, must meet in an even or infinite number of omponents. Some new constant width curves are constructed. C0rollariesand partial converses suggest severalopen questions.

Article information

Source
Illinois J. Math., Volume 17, Issue 3 (1973), 411-420.

Dates
First available in Project Euclid: 20 October 2009

Permanent link to this document
https://projecteuclid.org/euclid.ijm/1256051608

Mathematical Reviews number (MathSciNet)
MR0320885

Zentralblatt MATH identifier
0257.52003

Subjects
Primary: 52A10: Convex sets in 2 dimensions (including convex curves) [See also 53A04]

Citation

Peterson, Bruce B. Intersection properties of curves of constant width. Illinois J. Math. 17 (1973), no. 3, 411--420. https://projecteuclid.org/euclid.ijm/1256051608


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