%0 Journal Article
%T 2L-convex polyominoes: Geometrical aspects
%A Khalil Tawbe
%A Laurent Vuillon
%J Contributions to Discrete Mathematics
%D 2011
%I University of Calgary
%X A polymino $P$ is called $2L$-convex if for every two cells there exists a monotone path included in $P$ with at most $2$ changes of direction. This paper studies the geometrical aspects of a sub-class of $2L$-convex polyominoes called $Im^{0,0}_{2L}$ and states a characterization of it in terms of monotone paths. In a second part, 4 geometries are introduced and the tomographical point of view is investigated using the switching components (that is the elements of this sub-class that have the same projections). Finally, some unicity results are given for the reconstruction of these polyominoes according to their projections.
%U http://cdm.math.ucalgary.ca/cdm/index.php/cdm/article/view/201