cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A268184 Number of n-isohedral edge-to-edge tilings of regular polygons.

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%I A268184 #16 Jul 14 2017 02:46:41
%S A268184 3,13,29,70,140,267,559
%N A268184 Number of n-isohedral edge-to-edge tilings of regular polygons.
%C A268184 An n-isohedral tiling has n transitivity classes (or "orbits") of faces with respect to the symmetry group of the tiling.
%H A268184 D. Chavey, <a href="https://www.beloit.edu/computerscience/faculty/chavey/thesis/">Periodic Tilings and Tilings by Regular Polygons I</a>, Thesis, 1984, pp. 165-172 gives the 2-isohedral edge-to-edge tilings of regular polygons.
%H A268184 D. Chavey, <a href="http://dx.doi.org/10.1016/0898-1221(89)90156-9">Tiling by Regular Polygons II: A Catalog of Tilings</a>, Computers & Mathematics with Applications, Volume 17, Issues 1-3, 1989, Pages 147-165, illustrates 27 of the 29 3-isohedral edge-to-edge tilings of regular polygons, but classifies one (3^3.4^2; 3^2.4.3.4)2 on page 152 as 6-isohedral.
%H A268184 Brian Galebach, <a href="https://www.facebook.com/brian.galebach/posts/10154360821244435">Announcement of 7-Isohedral Tiling Count</a>, Facebook
%e A268184 The three 1-isohedral tilings are the regular tilings (triangles, squares, hexagons). Of the 13 2-isohedral tilings, there are three with triangles and squares, eight with triangles and hexagons, one with triangles and dodecagons, and one with squares and octagons.
%Y A268184 Analogous to the n-uniform edge-to-edge tilings, which has n orbits of vertices, as opposed to faces (A068599).
%K A268184 hard,more,nice,nonn
%O A268184 1,1
%A A268184 _Brian Galebach_, Jan 28 2016
%E A268184 a(7) from _Brian Galebach_, Dec 23 2016