22 citations · 50 across the 13 of their papers we have counts for
4 papers · 1 filter
Universal Computation with Arbitrary Polyomino Tiles in Non-Cooperative Self-Assembly
Sándor P. Fekete, Jacob Hendricks, Matthew J. Patitz +2
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),…
Reflections on Tiles (in Self-Assembly)
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers
We define the Reflexive Tile Assembly Model (RTAM), which is obtained from the abstract Tile Assembly Model (aTAM) by allowing tiles to reflect across their horizontal and/or verti…
Doubles and Negatives are Positive (in Self-Assembly)
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers
In the abstract Tile Assembly Model (aTAM), the phenomenon of cooperation occurs when the attachment of a new tile to a growing assembly requires it to bind to more than one tile a…
The Power of Duples (in Self-Assembly): It's Not So Hip To Be Square
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers +1
In this paper we define the Dupled abstract Tile Assembly Model (DaTAM), which is a slight extension to the abstract Tile Assembly Model (aTAM) that allows for not only the standar…