22 citations · 50 across the 13 of their papers we have counts for
17 papers
Hierarchical Growth is Necessary and (Sometimes) Sufficient to Self-Assemble Discrete Self-Similar Fractals
Jacob Hendricks, Joseph Opseth, Matthew Patitz +1
In this paper, we prove that in the abstract Tile Assembly Model (aTAM), an accretion-based model which only allows for a single tile to attach to a growing assembly at each step,…
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…
Know When to Fold 'Em: Self-Assembly of Shapes by Folding in Oritatami
Erik D. Demaine, Jacob Hendricks, Meagan Olsen +5
An oritatami system (OS) is a theoretical model of self-assembly via co-transcriptional folding. It consists of a growing chain of beads which can form bonds with each other as the…
Thermodynamically Favorable Computation via Tile Self-assembly
Cameron Chalk, Jacob Hendricks, Matthew J. Patitz +1
The recently introduced Thermodynamic Binding Networks (TBN) model was developed with the purpose of studying self-assembling systems by focusing on their thermodynamically favorab…
Self-Assembly of 4-sided Fractals in the Two-handed Tile Assembly Model
Jacob Hendricks, Joseph Opseth
We consider the self-assembly of fractals in one of the most well-studied models of tile based self-assembling systems known as the Two-handed Tile Assembly Model (2HAM). In partic…
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…