Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Planar Rosa : a family of quasiperiodic substitution discrete plane
  tilings with $2n$-fold rotational symmetry   We present Planar Rosa, a family of rhombus tilings with a $2n$-fold
rotational symmetry that are generated by a primitive substitution and that are
also discrete plane tilings, meaning that they are obtained as a projection of
a higher dimensional discrete plane. The discrete plane condition is a relaxed
version of the cut-and-project condition. We also prove that the Sub Rosa
substitution tilings with $2n$-fold rotational symmetry defined by Kari and
Rissanen do not satisfy even the weaker discrete plane condition. We prove our
results for all even $n\geq 4$. This completes our previously published results
for odd values of $n$.

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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: econ
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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: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nlin
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The categories of this paper are: q-alg
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: mtrl-th
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The categories of this paper are: eess