Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractal patterns related to dividing coins   The present paper formulates and solves a problem of dividing coins. The
basic form of the problem seeks the set of the possible ways of dividing coins
of face values 1,2,4,8,... between three people. We show that this set
possesses a nested structure like the Sierpinski-gasket fractal. For a set of
coins with face values power of r, the number of layer of the gasket becomes r.
A higher-dimensional Sierpinski gasket is obtained if the number of people is
more than three. In addition to Sierpinski-type fractals, the Cantor set is
also obtained in dividing an incomplete coin set between two people.

26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con