Covers for closed curves of length two

Z. Füredi, John E. Wetzel

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

The least area α2 of a convex set in the plane large enough to contain a congruent copy of every closed curve of length two lies between 0.385 and 0.491, as has been known for more than 38 years. We improve these bounds by showing that 0.386 <α2 <0.449.

Original languageEnglish
Pages (from-to)1-17
Number of pages17
JournalPeriodica Mathematica Hungarica
Volume63
Issue number1
DOIs
Publication statusPublished - Sep 2011

Fingerprint

Closed curve
Congruent
Convex Sets
Cover

Keywords

  • convex covers
  • worm problem

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Covers for closed curves of length two. / Füredi, Z.; Wetzel, John E.

In: Periodica Mathematica Hungarica, Vol. 63, No. 1, 09.2011, p. 1-17.

Research output: Contribution to journalArticle

Füredi, Z. ; Wetzel, John E. / Covers for closed curves of length two. In: Periodica Mathematica Hungarica. 2011 ; Vol. 63, No. 1. pp. 1-17.
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