Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inscribable Fans II: Inscribed zonotopes, simplicial arrangements, and
  reflection groups   An arrangement of hyperplanes is strongly inscribable if it has an inscribed
(or ideal hyperbolic) zonotope. We characterize inscribed zonotopes and prove
that the family of strongly inscribable arrangements is closed under
restriction and localization. Moreover, we show that (strongly) inscribable
arrangements are simplicial. We conjecture that only reflection arrangements
and their restrictions are strongly inscribable and we verify our conjecture in
rank-$3$ using the conjecturally complete list of irreducible simplicial
rank-$3$ arrangements.

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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: funct-an