20 citations · 132 across the 38 of their papers we have counts for
4 papers · 1 filter
Limitations of Self-Assembly at Temperature One (extended abstract)
David Doty, Matthew J. Patitz, Scott M. Summers
We prove that if a subset X of the integer Cartesian plane weakly self-assembles at temperature 1 in a deterministic (Winfree) tile assembly system satisfying a natural condition k…
Limitations of Self-Assembly at Temperature 1
David Doty, Matthew J Patitz, Scott M Summers
We prove that if a set weakly self-assembles at temperature 1 in a deterministic tile assembly system satisfying a natural condition known as \emph{pumpability},…
A Domain-Specific Language for Programming in the Tile Assembly Model
David Doty, Matthew J. Patitz
We introduce a domain-specific language (DSL) for creating sets of tile types for simulations of the abstract Tile Assembly Model. The language defines objects known as tile templa…
Randomized Self-Assembly for Exact Shapes
David Doty
Working in Winfree's abstract tile assembly model, we show that a constant-size tile assembly system can be programmed through relative tile concentrations to build an n x n square…