Tilings with noncongruent triangles

Andrey Kupavskii, János Pach, Gábor Tardos

Research output: Contribution to journalArticle

3 Citations (Scopus)


We solve a problem of R. Nandakumar by proving that there is no tiling of the plane with pairwise noncongruent triangles of equal area and equal perimeter. We also show that any tiling of a convex polygon with more than three sides with finitely many triangles contains a pair of triangles that share a full side.

Original languageEnglish
Pages (from-to)72-80
Number of pages9
JournalEuropean Journal of Combinatorics
Publication statusPublished - Oct 2018

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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