2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/172366In this paper we study algorithms for tiling problems. We show that the conditions $(T1)$ and $(T2)$ of Coven and Meyerowitz, conjectured to be necessary and sufficient for a finite set $A$ to tile the integers, can be checked in time polynomial in ${diam}(A)$. We also give heuristic algorithms to find all non-periodic tilings of a cyclic group $Z_N$. In particular we carry out a full classification of all non-periodic tilings of $Z_{144}$.13 pages, 1 figureNumber Theory05B45; 43A25; 68W30; 68T20Algorithms for translational tilingtext