Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Art of Space Filling in Penrose Tilings and Fractals   Incorporating designs into the tiles that form tessellations presents an
interesting challenge for artists. Creating a viable MC Escher like image that
works esthetically as well as functionally requires resolving incongruencies at
a tile's edge while constrained by its shape. Escher was the most well known
practitioner in this style of mathematical visualization, but there are
significant mathematical shapes to which he never applied his artistry. These
shapes can incorporate designs that form images as appealing as those produced
by Escher, and our paper explores this for traditional tessellations, Penrose
Tilings, fractals, and fractal/tessellation combinations. To illustrate the
versatility of tiling art, images were created with multiple figures and
negative space leading to patterns distinct from the work of others.

5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-bio
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an