13 citations · 38 across the 11 of their papers we have counts for
13 papers
Scaled tree fractals do not strictly self-assemble
Kimberly Barth, David Furcy, Scott M. Summers +1
In this paper, we show that any scaled-up version of any discrete self-similar {\it tree} fractal does not strictly self-assemble, at any temperature, in Winfree's abstract Tile As…
Optimal program-size complexity for self-assembly at temperature 1 in 3D
David Furcy, Samuel Micka, Scott M. Summers
Working in a three-dimensional variant of Winfree's abstract Tile Assembly Model, we show that, for all , there is a tile set that uniquely self-assembles into an…
Scaled pier fractals do not strictly self-assemble
David Furcy, Scott M. Summers
A \emph{pier fractal} is a discrete self-similar fractal whose generator contains at least one \emph{pier}, that is, a member of the generator with exactly one adjacent point. Tree…
The Power of Duples (in Self-Assembly): It's Not So Hip To Be Square
Jacob Hendricks, Matthew J. Patitz, Trent A. Rogers +1
In this paper we define the Dupled abstract Tile Assembly Model (DaTAM), which is a slight extension to the abstract Tile Assembly Model (aTAM) that allows for not only the standar…
The two-handed tile assembly model is not intrinsically universal
Erik D. Demaine, Matthew J. Patitz, Trent A. Rogers +3
The well-studied Two-Handed Tile Assembly Model (2HAM) is a model of tile assembly in which pairs of large assemblies can bind, or self-assemble, together. In order to bind, two as…
Asynchronous Signal Passing for Tile Self-Assembly: Fuel Efficient Computation and Efficient Assembly of Shapes
Jennifer E. Padilla, Matthew J. Patitz, Raul Pena +5
In this paper we demonstrate the power of a model of tile self-assembly based on active glues which can dynamically change state. We formulate the Signal-passing Tile Assembly Mode…