Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tiling a circular disc with congruent pieces   In this note we prove that any monohedral tiling of the closed circular unit
disc with $k \leq 3$ topological discs as tiles has a $k$-fold rotational
symmetry. This result yields the first nontrivial estimate about the minimum
number of tiles in a monohedral tiling of the circular disc in which not all
tiles contain the center, and the first step towards answering a question of
Stein appearing in the problem book of Croft, Falconer and Guy in 1994.

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The categories of this paper are: mtrl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
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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: adap-org
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-th