15 citations · 26 across the 7 of their papers we have counts for
4 papers · 1 filter
Optimal self-assembly of finite shapes at temperature 1 in 3D
David Furcy, Scott M. Summers
Working in a three-dimensional variant of Winfree's abstract Tile Assembly Model, we show that, for an arbitrary finite, connected shape , there is a tile s…
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…