| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8903553 | European Journal of Combinatorics | 2018 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Andrey Kupavskii, János Pach, Gábor Tardos,