Tilings of the plane with unit area triangles of bounded diameter

A. Kupavskii, J. Pach, G. Tardos

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

There exist tilings of the plane with pairwise noncongruent triangles of equal area and bounded perimeter. Analogously, there exist tilings with triangles of equal perimeter, the areas of which are bounded from below by a positive constant. This solves a problem of Nandakumar.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalActa Mathematica Hungarica
DOIs
Publication statusAccepted/In press - Mar 17 2018

Fingerprint

Area of a triangle
Perimeter
Tiling
Triangle
Unit
Pairwise

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Tilings of the plane with unit area triangles of bounded diameter. / Kupavskii, A.; Pach, J.; Tardos, G.

In: Acta Mathematica Hungarica, 17.03.2018, p. 1-9.

Research output: Contribution to journalArticle

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