Zobrazeno 1 - 10
of 41
pro vyhledávání: '"Schweller, Robert T."'
We introduce a new model of algorithmic tile self-assembly called size-dependent assembly. In previous models, supertiles are stable when the total strength of the bonds between any two halves exceeds some constant temperature. In this model, this co
Externí odkaz:
http://arxiv.org/abs/1509.06898
Autor:
Fekete, Sándor P., Hendricks, Jacob, Patitz, Matthew J., Rogers, Trent A., Schweller, Robert T.
In this paper we explore the power of geometry to overcome the limitations of non-cooperative self-assembly. We define a generalization of the abstract Tile Assembly Model (aTAM), such that a tile system consists of a collection of polyomino tiles, t
Externí odkaz:
http://arxiv.org/abs/1408.3351
Autor:
Chalk, Cameron T., Fernandez, Dominic A., Huerta, Alejandro, Maldonado, Mario A., Schweller, Robert T., Sweet, Leslie
In this paper we consider the problem of the strict self-assembly of infinite fractals within tile self-assembly. In particular, we provide tile assembly algorithms for the assembly of the discrete Sierpinski triangle and the discrete Sierpinski carp
Externí odkaz:
http://arxiv.org/abs/1407.7900
Autor:
Demaine, Erik D., Patitz, Matthew J., Rogers, Trent A., Schweller, Robert T., Summers, Scott M., Woods, Damien
The well-studied Two-Handed Tile Assembly Model (2HAM) is a model of tile assembly in which pairs of large assemblies can bind, or self-assemble, together. In order to bind, two assemblies must have matching glues that can simultaneously touch each o
Externí odkaz:
http://arxiv.org/abs/1306.6710
Autor:
Demaine, Erik D., Demaine, Martin L., Fekete, Sándor P., Patitz, Matthew J., Schweller, Robert T., Winslow, Andrew, Woods, Damien
In this paper we explore the power of tile self-assembly models that extend the well-studied abstract Tile Assembly Model (aTAM) by permitting tiles of shapes beyond unit squares. Our main result shows the surprising fact that any aTAM system, consis
Externí odkaz:
http://arxiv.org/abs/1212.4756
Autor:
Padilla, Jennifer E., Patitz, Matthew J., Pena, Raul, Schweller, Robert T., Seeman, Nadrian C., Sheline, Robert, Summers, Scott M., Zhong, Xingsi
In this paper we demonstrate the power of a model of tile self-assembly based on active glues which can dynamically change state. We formulate the Signal-passing Tile Assembly Model (STAM), based on the model of Padilla, Liu, and Seeman to be asynchr
Externí odkaz:
http://arxiv.org/abs/1202.5012
Autor:
Doty, David, Lutz, Jack H., Patitz, Matthew J., Schweller, Robert T., Summers, Scott M., Woods, Damien
We prove that the abstract Tile Assembly Model (aTAM) of nanoscale self-assembly is intrinsically universal. This means that there is a single tile assembly system U that, with proper initialization, simulates any tile assembly system T. The simulati
Externí odkaz:
http://arxiv.org/abs/1111.3097
Is Winfree's abstract Tile Assembly Model (aTAM) "powerful?" Well, if certain tiles are required to "cooperate" in order to be able to bind to a growing tile assembly (a.k.a., temperature 2 self-assembly), then Turing universal computation and the ef
Externí odkaz:
http://arxiv.org/abs/1105.1215
In this work we propose a generalization of Winfree's abstract Tile Assembly Model (aTAM) in which tile types are assigned rigid shapes, or geometries, along each tile face. We examine the number of distinct tile types needed to assemble shapes withi
Externí odkaz:
http://arxiv.org/abs/1104.2809
We consider a model of algorithmic self-assembly of geometric shapes out of square Wang tiles studied in SODA 2010, in which there are two types of tiles (e.g., constructed out of DNA and RNA material) and one operation that destroys all tiles of a p
Externí odkaz:
http://arxiv.org/abs/1004.4383