Kupavskii, A. and Pach, János and Tardos, Gábor (2018) Tilings with noncongruent triangles. EUROPEAN JOURNAL OF COMBINATORICS, 73. pp. 72-80. ISSN 0195-6698
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Official URL: https://doi.org/10.1016/j.ejc.2018.05.005
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. © 2018 Elsevier Ltd
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 16 Aug 2018 13:39 |
| Last Modified: | 16 Aug 2018 13:39 |
| URI: | http://real.mtak.hu/id/eprint/82748 |
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