[en] We consider the problem of tiling staircase regions with L-trominoes. In particular, in case such a tiling is not possible, we investigate if the situation changes if we remove one 1 × 1 square from the staircase region and if the position of the removed square plays a role. We give a complete solution to this question. Moreover, we use our results to infer the tileability of some regions that are composed of several staircase regions.
Disciplines :
Mathématiques
Auteur, co-auteur :
MEYRATH, Thierry ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) > Team FSTM Scienteens Lab
Co-auteurs externes :
no
Langue du document :
Anglais
Titre :
Tiling deficient staircase regions with L-trominoes