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COMBINATORICS
2002
82views more  COMBINATORICS 2002»
13 years 7 months ago
Non-Repetitive Tilings
In 1906 Axel Thue showed how to construct an infinite non-repetitive (or squarefree) word on an alphabet of size 3. Since then this result has been rediscovered many times and ext...
James D. Currie, Jamie Simpson
CIE
2007
Springer
14 years 1 months ago
Strict Self-assembly of Discrete Sierpinski Triangles
Winfree (1998) showed that discrete Sierpinski triangles can self-assemble in the Tile Assembly Model. A striking molecular realization of this self-assembly, using DNA tiles a fe...
James I. Lathrop, Jack H. Lutz, Scott M. Summers
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
GECCO
2005
Springer
117views Optimization» more  GECCO 2005»
14 years 27 days ago
A study of evolutionary robustness in stochastically tiled polyominos
Given an evolutionary optimization problem with many possible genotypes for each phenotype this study investigates if the evolved genes for a given phenotype are more robust to po...
Justin Schonfeld, Daniel A. Ashlock
CORR
2008
Springer
108views Education» more  CORR 2008»
13 years 7 months ago
Polyomino-Based Digital Halftoning
In this work, we present a new method for generating a threshold structure. This kind of structure can be advantageously used in various halftoning algorithms such as clustered-do...
David Vanderhaeghe, Victor Ostromoukhov