The Smallest Convex Cover for Triangles of Perimeter Two

Z. Füredi, John E. Wetzel

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

We find the unique smallest convex region in the plane that contains a congruent copy of every triangle of perimeter two. It is the triangle ABC with AB = 2/3, 〈 B = 60°, and BC ≈ 1.00285.

Original languageEnglish
Pages (from-to)285-293
Number of pages9
JournalGeometriae Dedicata
Volume81
Issue number1-3
Publication statusPublished - 2000

Fingerprint

Perimeter
Triangle
Cover
Congruent

Keywords

  • Convex covers
  • Isoperimetric triangles.
  • Worm problems

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

The Smallest Convex Cover for Triangles of Perimeter Two. / Füredi, Z.; Wetzel, John E.

In: Geometriae Dedicata, Vol. 81, No. 1-3, 2000, p. 285-293.

Research output: Contribution to journalArticle

Füredi, Z. ; Wetzel, John E. / The Smallest Convex Cover for Triangles of Perimeter Two. In: Geometriae Dedicata. 2000 ; Vol. 81, No. 1-3. pp. 285-293.
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