Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Honeycomb Conjecture   The classical honeycomb conjecture asserts that any partition of the plane
into regions of equal area has perimeter at least that of the regular hexagonal
honeycomb tiling. Pappus discusses this problem in his preface to Book V. This
paper gives the first general proof of the conjecture.
  The revision is the published version, which allows disconnected honeycomb
cells and gaps between cells.

23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga