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JAC
2008
13 years 6 months ago
Tilings and model theory
In this paper we emphasize the links between model theory and tilings. More precisely, after giving the definitions of what tilings are, we give a natural way to have an interpreta...
Alexis Ballier, Emmanuel Jeandel
DNA
2007
Springer
159views Bioinformatics» more  DNA 2007»
13 years 11 months ago
Activatable Tiles: Compact, Robust Programmable Assembly and Other Applications
While algorithmic DNA self-assembly is, in theory, capable of forming complex patterns, its experimental demonstration has been limited by significant assembly errors. In this pa...
Urmi Majumder, Thomas H. LaBean, John H. Reif
DNA
2003
Springer
122views Bioinformatics» more  DNA 2003»
13 years 10 months ago
Self-Assembled Circuit Patterns
Abstract. Self-assembly is a process in which basic units aggregate under attractive forces to form larger compound structures. Recent theoretical work has shown that pseudo-crysta...
Matthew Cook, Paul W. K. Rothemund, Erik Winfree
DNA
2009
Springer
145views Bioinformatics» more  DNA 2009»
13 years 11 months ago
Distributed Agreement in Tile Self-assembly
Abstract. Laboratory investigations have shown that a formal theory of fault-tolerance will be essential to harness nanoscale self-assembly as a medium of computation. Several rese...
Aaron Sterling
DNA
2006
Springer
146views Bioinformatics» more  DNA 2006»
13 years 8 months ago
On Times to Compute Shapes in 2D Tile Self-assembly
We study the times to grow structures within the tile self-assembly model proposed by Winfree, and the possible shapes that can be achieved. Our earlier work was confined to the g...
Yuliy M. Baryshnikov, Edward G. Coffman Jr., Boons...