28 citations · 139 across the 36 of their papers we have counts for
4 papers · 1 filter
The tile assembly model is intrinsically universal
David Doty, Jack H. Lutz, Matthew J. Patitz +3
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 pro…
Efficient Squares and Turing Universality at Temperature 1 with a Unique Negative Glue
Matthew J. Patitz, Robert T. Schweller, Scott M. Summers
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., temp…
Self-Assembly with Geometric Tiles
Bin Fu, Matthew J. Patitz, Robert T. Schweller +1
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 exa…
Simulation of Self-Assembly in the Abstract Tile Assembly Model with ISU TAS
Matthew J. Patitz
Since its introduction by Erik Winfree in 1998, the abstract Tile Assembly Model (aTAM) has inspired a wealth of research. As an abstract model for tile based self-assembly, it has…