Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Escher degree of non-periodic L-tilings by 2 prototiles   For a given tiling of the euclidean plane ${\bf E}^2$, we call the degree of
freedom of perturbed edges of prototiles {\it escher degree}. In this paper we
consider non-periodic L-tilings by 2 prototiles and obtain the escher degree of
them.

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The categories of this paper are: mtrl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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The categories of this paper are: physics