Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Classification of spherical tilings by congruent quadrangles over
  pseudo-double wheels (II)   We classify all edge-to-edge spherical isohedral 4-gonal tilings such that
the skeletons are pseudo-double wheels. For this, we characterize these
spherical tilings by a quadratic equation for the cosine of an edge-length. By
the classification, we see: there are indeed two non-congruent, edge-to-edge
spherical isohedral 4-gonal tilings such that the skeletons are the same
pseudo-double wheel and the cyclic list of the four inner angles of the tiles
are the same. This contrasts with that every edge-to-edge spherical tiling by
congruent 3-gons is determined by the skeleton and the inner angles of the
skeleton. We show that for a particular spherical isohedral tiling over the
pseudo-double wheel of twelve faces, the quadratic equation has a double
solution and the copies of the tile also organize a spherical non-isohedral
tiling over the same skeleton.

10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys