22 citations · 50 across the 13 of their papers we have counts for
10 papers · 1 filter
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,…
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…
Hierarchical Self-Assembly of Fractals with Signal-Passing Tiles
Jacob Hendricks, Meagan Olsen, Matthew J. Patitz +2
In this paper, we present high-level overviews of tile-based self-assembling systems capable of producing complex, infinite, aperiodic structures known as discrete self-similar fra…
Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles
Andrew Alseth, Jacob Hendricks, Matthew J. Patitz +1
In this paper, we investigate the abilities of systems of self-assembling tiles which can each pass a constant number of signals to their immediate neighbors to create replicas of…
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),…