4 citations · 4 across the 3 of their papers we have counts for
4 papers
Universal Simulation of Directed Systems in the abstract Tile Assembly Model Requires Undirectedness
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers
As a mathematical model of self-assembling systems, Winfree's abstract Tile Assembly Model (aTAM) is a remarkable platform for studying the behaviors and powers of self-assembling…
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…