Self-assembly of Discrete Self-similar Fractals

被引：0

作者：

Patitz, Matthew J. ^{[1
]}

Summers, Scott M. ^{[1
]}

机构：

[1] Iowa State Univ, Dept Comp Sci, Ames, IA 50011 USA

来源：

DNA COMPUTING | 2009年 / 5347卷

关键词：

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, we search for absolute limitations of the Tile Assembly Model (TAM), along with techniques to work around such limitations. Specifically, we investigate the self-assembly of fractal shapes in the TAM. We prove that no self-similar fractal fully weakly self-assembles at temperature 1, and that certain kinds of self-similar fractals do not strictly self-assemble at any temperature. Additionally, we extend the fiber construction from Lathrop et. al. (2007) to show that any self-similar fractal belonging to a particular class of "nice" self-similar fractals has a fibered version that strictly self-assembles in the TAM.

引用

页码：156 / 167

页数：12

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