Pach, János and Tardos, Gábor (2019) Tiling the plane with equilateral triangles. GEOMBINATORICS, 28 (4). pp. 201-209. ISSN 1065-7371
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Abstract
Let T be a tiling of the plane with equilateral triangles no two of which share a side. We prove that if the side lengths of the triangles are bounded from below by a positive constant, then T is periodic and it consists of translates of only at most three different triangles. As a corollary, we prove a theorem of Scherer and answer a question of Nandakumar. The same result has been obtained independently by Richter and Wirth.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 02 Oct 2019 13:33 |
| Last Modified: | 02 Oct 2019 13:33 |
| URI: | http://real.mtak.hu/id/eprint/101923 |
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