Approximate self-assembly of the Sierpinski triangle

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

Volumn 6158 LNCS, Issue , 2010, Pages 286-295

  Lutz, Jack H ^a   Shutters, Brad ^a  

^a Iowa State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ASSEMBLY MODEL; ASSEMBLY SYSTEMS; BLOCKING TECHNIQUE; DNA CRYSTALS; FRACTAL STRUCTURES; NANO SCALE; SELF-ASSEMBLE; SIERPINSKI TRIANGLE; TARGET STRUCTURE;

PARTIAL DISCHARGES; SELF ASSEMBLY; WAVEGUIDES;

FRACTAL DIMENSION;

EID: 77954877924     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-642-13962-8_32     Document Type: Conference Paper

References (12)

1. Bondarenko, B.A.: Generalized Pascal Triangles and Pyramids, Their Fractals, Graphs and Applications. The Fibonacci Association (1993)
2. Doty, D., Gu, X., Lutz, J.H., Mayordomo, E., Moser, P.: Zeta-dimension. In: Proceedings of the 30th International Symposium on Mathematical Foundations of Computer Science (2005)
3. Graham, R.L., Knuth, D.E., Patashnik, O.: Concrete Mathematics. Addison- Wesley, Reading (1994)
4. Kautz, S.M., Lathrop, J.I.: Self-assembly of the Sierpinski carpet and related fractals. In: Proceedings of the 15th International Meeting on DNA Computing and Molecular Programming (2009)
5. Lathrop, J.I., Lutz, J.H., Summers, S.M.: Strict self-assembly of discrete Sierpinski triangles. Theoretical Computer Science 410, 384-405 (2009)
6. Patitz, M.J., Summers, S.M.: Self-assembly of discrete self-similar fractals. Natural Computing (to appear)
7. Rothemund, P.W.K., Papadakis, N., Winfree, E.: Algorithmic self-assembly of DNA Sierpinski triangles. PLoS Biology 2(12) (2004)
8. Rothemund, P.W.K.: Theory and Experiments in Algorithmic Self-Assembly. Ph.D. thesis, University of Southern California, Los Angeles, California (2001)
9. Seeman, N.C.: Nucleic-acid junctions and lattices. Journal of Theoretical Biology 99, 237-247 (1982)
10. Seeman, N.C.: DNA in a material world. Nature 421, 427-431 (2003)
11. Soloveichik, D., Winfree, E.: Complexity of self-assembled shapes. SIAM Journal on Computing 36, 1544-1569 (2007)
12. Winfree, E.: Algorithmic Self-Assembly of DNA. Ph.D. thesis, California Institute of Technology, Pasadena, California (1998)