28 citations · 139 across the 36 of their papers we have counts for
46 papers
The Rhythm of the Tiles: Narrow and Low Temperature Computation and Simulation in Synchronous Tile Self-Assembly
Florent Becker, Phillip Drake, Benjamin Durbin +3
In this paper, we prove that the synchronicity provided by the syncTAM can be leveraged to perform two additional feats impossible in the asynchronous aTAM. The aTAM has long been…
Powers and Limitations of Synchronous Self-Assembly
Florent Becker, Phillip Drake, Matthew J. Patitz +1
In abstract models of algorithmic self-assembly, synchronization between attachments has emerged as a crucial distinction between the classical asynchronous model (aTAM) and a new…
Strict Self-Assembly of Discrete Self-Similar Fractals in the abstract Tile-Assembly Model
Florent Becker, Daniel Hader, Matthew J. Patitz
This paper answers a long-standing open question in tile-assembly theory, namely that it is possible to strictly assemble discrete self-similar fractals (DSSFs) in the abstract Til…
Simulation of the abstract Tile Assembly Model Using Crisscross Slats
Phillip Drake, Daniel Hader, Matthew J. Patitz
Tile assembly systems in the abstract Tile Assembly Model (aTAM) are computationally universal and capable of building complex shapes, but DNA-based implementations encounter formi…
Self-Assembly of Patterns in the abstract Tile Assembly Model
Phillip Drake, Matthew J. Patitz, Scott M. Summers +1
In the abstract Tile Assembly Model, self-assembling systems consisting of tiles of different colors can form structures on which colored patterns are ``painted.'' We explore the c…
The Impacts of Dimensionality, Diffusion, and Directedness on Intrinsic Cross-Model Simulation in Tile-Based Self-Assembly
Daniel Hader, Matthew J. Patitz
Algorithmic self-assembly occurs when disorganized components autonomously combine to form structures and, by their design and the dynamics of the system, are forced to follow the…