Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A characterization of all equilateral triangles in \Bbb Z^3   This paper is a continuation of previous work of the authors. We extend one
of the theorems that gave a way to construct equilateral triangles whose
vertices have integer coordinates to the general situation. An approximate
extrapolation formula for the sequence ET(n) of all equilateral triangles with
vertices in $\{0,1,2,...,n\}^3$ (A 102698) is given and the asymptotic behavior
of this sequence is analyzed.

8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an