𝔖 Bobbio Scriptorium
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Tiling a simply connected figure with bars of length 2 or 3

✍ Scribed by Eric Rémila


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
510 KB
Volume
160
Category
Article
ISSN
0012-365X

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✦ Synopsis


Let F be a simply connected figure formed from a finite set of cells of the planar square lattice. We first prove that if F has no peak (a peak is a cell of F which has three of its edges in the contour of F), then F can be tiled with rectangular bars formed from 2 or 3 cells. Afterwards, we devise a linear-time algorithm for finding a tiling of F with those bars when such a tiling exists.