Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Farthest Point Map on the Regular Octahedron   On any compact space one can consider the map which sends a point to the set
of points farthest from this point. In nice cases, there is just a single point
farthest from a given point and so by restricting the domain slightly one can
form a dynamical system on the space based on this map. We give a complete
characterization of this map, including explicit formulas, when the metric
space is the regular octahedron equipped with its intrinsic flat cone metric.

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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
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: chao-dyn
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: hep-lat