Self - Assembly of Discrete Self - Similar Fractals ( extended abstract ) ∗
نویسندگان
چکیده
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.
منابع مشابه
Self - Assembly of Discrete Self - Similar Fractals ( Extended
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....
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تاریخ انتشار 2008