Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: What is the Shape of a Cupola?   This article examines the shape of a surface obtained by a hanging flexible,
inelastic material with prescribed area and boundary curve. The shape of this
surface, after being turned upside down, is a model for cupolas (or domes)
under the simple hypothesis of compression. Investigating the rotational
examples, we provide and illustrate a novel design for a roof which has the
extraordinary property that its shape, although natural, is modeled by a
surface of revolution whose axis of rotation is horizontal.

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The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
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The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: hep-lat
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The categories of this paper are: eess
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat