Staged Tile Assembly Model

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Overview

The staged self-assembly model is a generalization of the two-handed or hierarchical tile self-assembly models. The staged model extends the two-handed model by carrying out separate assembly processes in multiple bins. Assembly in each bin begins with input assemblies previously assembled in other bins. These bins are stratified into stages, and a mix graph specifies which bins in the previous stage supply each bin with input assemblies. The output of a staged self-assembly system is the set of assemblies produced in the bins of the final stage. [1]

An example of a staged assembly system. This system uniquely produces a \(1\times10\) line. The tile, stage, and bin complexities are 3, 3, and 2, respectively.[2]
The summary of results from the Optimal Staged Self-Assembly paper.

References

  1. Cameron Chalk, Eric Martinez, Robert Schweller, Luis Vega, Andrew Winslow,, Tim Wylie - Optimal Staged Self-Assembly of General Shapes
    aiXiv (1510.03919),2016
    Bibtex
    Author : Cameron Chalk, Eric Martinez, Robert Schweller, Luis Vega, Andrew Winslow,, Tim Wylie
    Title : Optimal Staged Self-Assembly of General Shapes
    In : aiXiv -
    Address :
    Date : 2016
  2. Erik D. Demaine, Martin L. Demaine, S´andor P. Fekete, Mashhood Ishaque, Eynat Rafalin, Robert T. Schweller,, Diane L. Souvaine - Staged Self-Assembly: Nanomanufacture of Arbitrary Shapes with O(1) Glues
    aiXiv (0803.0316),2008
    Bibtex
    Author : Erik D. Demaine, Martin L. Demaine, S´andor P. Fekete, Mashhood Ishaque, Eynat Rafalin, Robert T. Schweller,, Diane L. Souvaine
    Title : Staged Self-Assembly: Nanomanufacture of Arbitrary Shapes with O(1) Glues
    In : aiXiv -
    Address :
    Date : 2008