Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Combinatorics of a fractal tiling family   In this paper, we propose to enumerate all different configurations belonging
to a specific class of fractals: A binary initial tile is selected and a finite
recursive tiling process is engaged to produce auto-similar binary patterns.
For each initial tile choice the number of possible configurations is finite.
This combinatorial problem recalls the famous Escher tiling problem [2]. By
using the Burnside lemma we show that there are exactly 232 really different
fractals when the initial tile is a particular 2x2 matrix. Partial results are
also presented in the 3x3 case when the initial tile presents some symmetry
properties.

27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph