TY - JOUR JF - MEDITERRANEAN JOURNAL OF MATHEMATICS TI - Tiling a circular disc with congruent pieces IS - 5 N2 - 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. SP - Azonosító: 156 UR - http://doi.org/10.1007/s00009-020-01595-3 AV - public ID - publicatio19353 Y1 - 2020/// A1 - Kurusa Árpád A1 - Lángi Zsolt A1 - Vígh Viktor SN - 1660-5446 EP - Terjedelem: 15 p VL - 17 ER -