Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solvable Rectangle Triangle Random Tilings   We show that a rectangle triangle random tiling with a tenfold symmetric
phase is solvable by Bethe Ansatz. After the twelvefold square triangle and the
eightfold rectangle triangle random tiling, this is the third example of a
rectangle triangle tiling which is solvable. A Bethe Ansatz solution provides
in principle an accurate estimate of the entropy and phason elastic constants.
In the twelvefold and eightfold cases even exact analytic expressions have been
obtained from the Bethe Ansatz solution.

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The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
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The categories of this paper are: econ
9
The categories of this paper are: nlin
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: solv-int
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn