Shape Replication

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Overview

Replication is the concept of having a tile assembly system that can take input shapes and create new instances of that shape using a constant sized tile set.

Replication Using RNAse

In a paper by Abel, Benbernou, Damian, Demaine, Demaine, Flatland, Kominers, and Schweller[1], it is shown that replication can be achieved using an RNase augmentation of the aTAM.

Replication Using Signal Passing Tiles

In a paper by Hendricks, Patitz, and Rogers[2], it is shown that replication can be achieved in the signal-passing tile assembly model.

References

  1. Zachary Abel, Nadia Benbernou, Mirela Damian, Erik D. Demaine, Martin L. Demaine, Robin Flatland, Scott D. Kominers,, Robert Schweller - Shape Replication through Self-Assembly and RNase Enzymes
    ACM-SIAM Symposium on Discrete Algorithms ,2010
    Bibtex
    Author : Zachary Abel, Nadia Benbernou, Mirela Damian, Erik D. Demaine, Martin L. Demaine, Robin Flatland, Scott D. Kominers,, Robert Schweller
    Title : Shape Replication through Self-Assembly and RNase Enzymes
    In : ACM-SIAM Symposium on Discrete Algorithms -
    Address :
    Date : 2010
  2. Jacob Hendricks, Matthew J. Patitz,, Trent A. Rogers - Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles
    aiXiv (1503.01244),2015
    Bibtex
    Author : Jacob Hendricks, Matthew J. Patitz,, Trent A. Rogers
    Title : Replication of arbitrary hole-free shapes via self-assembly with signal-passing tiles
    In : aiXiv -
    Address :
    Date : 2015