Hierarchical growth is necessary and (sometimes) sufficient to self-assemble discrete self-similar fractals

Author:

Hendricks Jacob,Opseth Joseph,Patitz Matthew J.,Summers Scott M.

Funder

National Science Foundation

Publisher

Springer Science and Business Media LLC

Subject

Computer Science Applications

Reference19 articles.

1. Cannon S, Demaine ED, Demaine ML, Eisenstat S, Patitz MJ, Schweller RT, Summers SM, Winslow A (2013) Two hands are better than one (up to constant factors): self-assembly in the 2HAM vs. aTAM. In: Portier N, Wilke T (eds) STACS, vol. 20 of LIPIcs, pp 172–184. Schloss Dagstuhl—Leibniz-Zentrum fuer Informatik

2. Chalk CT, Fernandez DA, Huerta A, Maldonado MA, Schweller RT, Sweet L (2016) Strict self-assembly of fractals using multiple hands. Algorithmica 76(1):95–224

3. Chen H-L, Doty D (2012) Parallelism and time in hierarchical self-assembly. In: SODA 2012: proceedings of the 23rd annual ACM-SIAM symposium on discrete algorithms. SIAM, pp 1163–1182

4. Cheng Q, Aggarwal G, Goldwasser MH, Kao M-Y, Schweller RT, de Espanés PM (2005) Complexities for generalized models of self-assembly. SIAM J Comput 34:1493–1515

5. Fujibayashi K, Hariadi R, Park SH, Winfree E, Murata S (2007) Toward reliable algorithmic self-assembly of DNA tiles: a fixed-width cellular automaton pattern. Nano Lett 8(7):1791–1797

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