Title
Tilings of the plane with unit area triangles of bounded diameter.
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.
Year
DOI
Venue
2018
https://doi.org/10.1007/s10474-018-0808-9
Acta Mathematica Hungarica
Keywords
Field
DocType
triangular tiling,noncongruent triangle,52C20,05B40
Pairwise comparison,Combinatorics,Mathematical analysis,Perimeter,Mathematics,Bounded function
Journal
Volume
Issue
ISSN
abs/1712.03118
1
0236-5294
Citations 
PageRank 
References 
0
0.34
0
Authors
3
Name
Order
Citations
PageRank
Andrey B. Kupavskii16422.31
János Pach22366292.28
Gábor Tardos31261140.58