Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spherical Foams in Flat Space   Regular tesselations of space are characterized through their Schlafli
symbols {p,q,r}, where each cell has regular p-gonal sides, q meeting at each
vertex, and r meeting on each edge. Regular tesselations with symbols {p,3,3}
all satisfy Plateau's laws for equilibrium foams. For general p, however, these
regular tesselations do not embed in Euclidean space, but require a uniform
background curvature. We study a class of regular foams on S^3 which, through
conformal, stereographic projection to R^3 define irregular cells consistent
with Plateau's laws. We analytically characterize a broad classes of bulk foam
bubbles, and extend and explain recent observations on foam structure and shape
distribution. Our approach also allows us to comment on foam stability by
identifying a weak local maximum of A^(3/2)/V at the maximally symmetric
tetrahedral bubble that participates in T2 rearrangements.

9
The categories of this paper are: nlin
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics