Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Voronoi Diagrams Generated by the Archimedes Spiral   Voronoi mosaics inspired by the seed points placed on the Archimedes Spirals
are reported. Voronoi entropy was calculated for these patterns. Equidistant
and non-equidistant patterns are treated. Voronoi mosaics built from cells of
equal size which are of primary importance for decorative arts are reported.
The pronounced prevalence of hexagons is inherent for the patterns with an
equidistant and non-equidistant distribution of points, when the distance
between the seed points is of the same order of magnitude as the distance
between the turns of the spiral. Penta- and heptagonal 'defected' cells
appeared in the Voronoi diagrams due to the finite nature of the pattern. The
ordered Voronoi tessellations demonstrating the Voronoi entropy larger than
1.71, reported for the random 2D distribution of points, were revealed. The
dependence of the Voronoi entropy on the total number of the seed points
located on the Archimedes Spirals is reported. The aesthetic attraction of the
Voronoi mosaics arising from seed points placed on the Archimedes Spirals is
discussed.

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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: atom-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph