Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Comparison of Popular Point Configurations on $\mathbb{S}^2$   There are many ways to generate a set of nodes on the sphere for use in a
variety of problems in numerical analysis. We present a survey of quickly
generated point sets on $\mathbb{S}^2$, examine their equidistribution
properties, separation, covering, and mesh ratio constants and present a new
point set, equal area icosahedral points, with low mesh ratio. We analyze
numerically the leading order asymptotics for the Riesz and logarithmic
potential energy for these configurations with total points $N<50,000$ and
present some new conjectures.

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The categories of this paper are: hep-th
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: q-bio
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: econ
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The categories of this paper are: nucl-th
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The categories of this paper are: stat
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The categories of this paper are: alg-geom