3 papers
cs.DM2024
Decision problems on geometric tilings
Benjamin Hellouin de Menibus, Victor Lutfalla, Pascal Vanier
We study decision problems on geometric tilings. First, we study a variant of the Domino problem where square tiles are replaced by geometric tiles of arbitrary shape. We show that…
cs.DM2024
Polygonal corona limit on multigrid dual tilings
Victor Lutfalla, Kévin Perrot
The growth pattern of an invasive cell-to-cell propagation (called the successive coronas) on the square grid is a tilted square. On the triangular and hexagonal grids, it is an he…
cs.DM2022
Geometrical tilings : distance, topology, compactness and completeness
Victor Lutfalla
We present the different distances on tilings of Rd that exist in the literature, we prove that (most of) these definitions are correct (i.e. they indeed define metrics on tilings…