Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hierarchical Self-Assembly of Fractals with Signal-Passing Tiles   In this paper, we present high-level overviews of tile-based self-assembling
systems capable of producing complex, infinite, aperiodic structures known as
discrete self-similar fractals. Fractals have a variety of interesting
mathematical and structural properties, and by utilizing the bottom-up growth
paradigm of self-assembly to create them we not only learn important techniques
for building such complex structures, we also gain insight into how similar
structural complexity arises in natural self-assembling systems. Our results
fundamentally leverage hierarchical assembly processes, and use as our building
blocks square "tile" components which are capable of activating and
deactivating their binding "glues" a constant number of times each, based only
on local interactions. We provide the first constructions capable of building
arbitrary discrete self-similar fractals at scale factor 1, and many at
temperature 1 (i.e. "non-cooperatively"), including the Sierpinski triangle.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: chao-dyn
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an