Paper Info
Title
Tilings with noncongruent triangles.
Abstract
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.
Year
DOI
Venue
2018
10.1016/j.ejc.2018.05.005
European Journal of Combinatorics
DocType
Volume
ISSN
Journal
73
0195-6698
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Andrey B. Kupavskii16422.31
János Pach22366292.28
Gábor Tardos31261140.58