Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Properties of Strongly Balanced Tilings by Convex Polygons   Every normal periodic tiling is a strongly balanced tiling. The properties of
periodic tilings by convex polygons are rearranged from the knowledge of
strongly balanced tilings. From the results, we show the properties of
representative periodic tilings by a convex pentagonal tile.

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The categories of this paper are: math-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: eess
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The categories of this paper are: adap-org
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex
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The categories of this paper are: nlin