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» Tiling a Rectangle with Polyominoes
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COMBINATORICS
2006
106views more  COMBINATORICS 2006»
13 years 7 months ago
Tilings by Translation: Enumeration by a Rational Language Approach
Beauquier and Nivat introduced and gave a characterization of the class of pseudo-square polyominoes that tile the plane by translation: a polyomino tiles the plane by translation...
Srecko Brlek, Andrea Frosini, Simone Rinaldi, Laur...
LATA
2009
Springer
14 years 2 months ago
Tiling the Plane with a Fixed Number of Polyominoes
Deciding whether a finite set of polyominoes tiles the plane is undecidable by reduction from the Domino problem. In this paper, we prove that the problem remains undecidable if t...
Nicolas Ollinger
DGCI
2009
Springer
13 years 10 months ago
Optimal Partial Tiling of Manhattan Polyominoes
Finding an efficient optimal partial tiling algorithm is still an open problem. We have worked on a special case, the tiling of Manhattan polyominoes with dominoes, for which we gi...
Olivier Bodini, Jérémie Lumbroso
CCCG
2009
13 years 8 months ago
Enumeration of Polyominoes for p4 Tiling
Polyominoes are the two dimensional shapes made by connecting n unit squares, joined along their edges. In this paper, we propose algorithms to enumerate polyominoes for p4 tiling...
Takashi Horiyama, Masato Samejima