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. Kupavskii | 1 | 64 | 22.31 |
János Pach | 2 | 2366 | 292.28 |
Gábor Tardos | 3 | 1261 | 140.58 |