Kupavskii, A. and Pach, János and Tardos, Gábor (2018) Tilings of the plane with unit area triangles of bounded diameter. ACTA MATHEMATICA HUNGARICA, 155 (1). pp. 175-183. ISSN 0236-5294
|
Text
1712.03118v2.pdf Download (125kB) | Preview |
Official URL: https://doi.org/10.1007/s10474-018-0808-9
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. © 2018, Akadémiai Kiadó, Budapest, Hungary.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | triangular tiling; noncongruent triangle |
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 16 Aug 2018 13:42 |
| Last Modified: | 16 Aug 2018 13:42 |
| URI: | http://real.mtak.hu/id/eprint/82749 |
Actions (login required)
 |
Edit Item |
