Kurusa, Árpád and Lángi, Zsolt and Vígh, Viktor (2020) Tiling a circular disc with congruent pieces. Mediterranean Journal of Mathematics, 17. p. 156. ISSN 1660-5446
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Official URL: https://doi.org/10.1007/s00009-020-01595-3
Abstract
In this note, we prove that any monohedral tiling of the closed circular unit disc with k≤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.
| Item Type: | Article |
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| Subjects: | Q Science / természettudomány > QA Mathematics / matematika > QA73 Geometry / geometria |
| Depositing User: | Dr. Zsolt Lángi |
| Date Deposited: | 22 Sep 2020 14:47 |
| Last Modified: | 22 Sep 2020 14:47 |
| URI: | http://real.mtak.hu/id/eprint/114071 |
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