1 citations · 2 across the 3 of their papers we have counts for
7 papers
Strict Self-Assembly of Discrete Self-Similar Fractals in the abstract Tile-Assembly Model
Florent Becker, Daniel Hader, Matthew J. Patitz
This paper answers a long-standing open question in tile-assembly theory, namely that it is possible to strictly assemble discrete self-similar fractals (DSSFs) in the abstract Til…
Simulation of the abstract Tile Assembly Model Using Crisscross Slats
Phillip Drake, Daniel Hader, Matthew J. Patitz
Tile assembly systems in the abstract Tile Assembly Model (aTAM) are computationally universal and capable of building complex shapes, but DNA-based implementations encounter formi…
The Impacts of Dimensionality, Diffusion, and Directedness on Intrinsic Cross-Model Simulation in Tile-Based Self-Assembly
Daniel Hader, Matthew J. Patitz
Algorithmic self-assembly occurs when disorganized components autonomously combine to form structures and, by their design and the dynamics of the system, are forced to follow the…
Universal Shape Replication Via Self-Assembly With Signal-Passing Tiles
Andrew Alseth, Daniel Hader, Matthew J. Patitz
In this paper, we investigate shape-assembling power of a tile-based model of self-assembly called the Signal-Passing Tile Assembly Model (STAM). In this model, the glues that bind…
Self-Replication via Tile Self-Assembly
Andrew Alseth, Daniel Hader, Matthew J. Patitz
In this paper we present a model containing modifications to the Signal-passing Tile Assembly Model (STAM), a tile-based self-assembly model whose tiles are capable of activating a…
The Impacts of Dimensionality, Diffusion, and Directedness on Intrinsic Universality in the abstract Tile Assembly Model
Daniel Hader, Aaron Koch, Matthew J. Patitz +1
We present a series of results related to mathematical models of self-assembling tiles and the impacts that three diverse properties have on their dynamics. We expand upon a series…
Geometric Tiles and Powers and Limitations of Geometric Hindrance in Self-Assembly
Daniel Hader, Matthew J. Patitz
Tile-based self-assembly systems are capable of universal computation and algorithmically-directed growth. Systems capable of such behavior typically make use of "glue cooperation"…