22 citations · 50 across the 13 of their papers we have counts for
5 papers · 1 filter
Self-Assembly of 3-D Structures Using 2-D Folding Tiles
Jerome Durand-Lose, Jacob Hendricks, Matthew J. Patitz +2
Self-assembly is a process which is ubiquitous in natural, especially biological systems. It occurs when groups of relatively simple components spontaneously combine to form more c…
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…
The Simulation Powers and Limitations of Higher Temperature Hierarchical Self-Assembly Systems
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers
In this paper, we extend existing results about simulation and intrinsic universality in a model of tile-based self-assembly. Namely, we work within the 2-Handed Assembly Model (2H…
Computing in continuous space with self-assembling polygonal tiles
Oscar Gilbert, Jacob Hendricks, Matthew J. Patitz +1
In this paper we investigate the computational power of the polygonal tile assembly model (polygonal TAM) at temperature 1, i.e. in non-cooperative systems. The polygonal TAM is an…
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…