Tiling a circular disc with congruent pieces
In this note we prove that any monohedral tiling of the closed circular unit disc with $k \leq 3$ topological discs as tiles has a $k$-fold rotational symmetry. This result yields the first nontrivial estimate about the minimum number of tiles in a monohedral tiling of the circular disc in which not...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
2020
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| Sorozat: | MEDITERRANEAN JOURNAL OF MATHEMATICS
17 No. 5 |
| doi: | 10.1007/s00009-020-01595-3 |
| mtmt: | 31407382 |
| Online Access: | http://publicatio.bibl.u-szeged.hu/19353 |
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| 100 | 1 | |a Kurusa Árpád | |
| 245 | 1 | 0 | |a Tiling a circular disc with congruent pieces |h [elektronikus dokumentum] / |c Kurusa Árpád |
| 260 | |c 2020 | ||
| 300 | |a Azonosító: 156-Terjedelem: 15 p | ||
| 490 | 0 | |a MEDITERRANEAN JOURNAL OF MATHEMATICS |v 17 No. 5 | |
| 520 | 3 | |a In this note we prove that any monohedral tiling of the closed circular unit disc with $k \leq 3$ topological discs as tiles has a $k$-fold rotational symmetry. This result yields the first nontrivial estimate about the minimum number of tiles in a monohedral tiling of the circular disc in which not all tiles contain the center, and the first step towards answering a question of Stein appearing in the problem book of Croft, Falconer and Guy in 1994. | |
| 700 | 0 | 1 | |a Lángi Zsolt |e aut |
| 700 | 0 | 1 | |a Vígh Viktor |e aut |
| 856 | 4 | 0 | |u http://publicatio.bibl.u-szeged.hu/19353/1/s00009-020-01595-3.pdf |z Dokumentum-elérés |