Abstract. We know that tilesets that can tile the plane always admit a quasiperiodic tiling [4, 8], yet they hold many uncomputable properties [3, 11, 21, 25]. The quasi-periodicit...
Abstract. Tile sets and tilings of the plane appear in many topics ranging from logic (the Entscheidungsproblem) to physics (quasicrystals). The idea is to enforce some global prop...
Bruno Durand, Andrei E. Romashchenko, Alexander Sh...
In this paper we prove that if two self-similar tiling systems, with respective stretching factors 1 and 2, have a common factor which is a non periodic tiling system, then 1 and 2...
We study here slopes of periodicity of tilings. A tiling is of slope if it is periodic along direction but has no other direction of periodicity. We characterize in this paper th...