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A056779
Number of poly-IH73-tiles (holes allowed) with n cells.
1
1, 1, 3, 7, 21, 60, 208, 704, 2542, 9192, 34053, 126771, 476849, 1802367, 6851960, 26152629
OFFSET
1,3
COMMENTS
Originally from Vicher's table, which lists this as "Puzzle 3".
Isohedral tiling IH73 (see Figure 6.2.4 of Grünbaum and Shephard) is obtained from the regular square tiling by replacing the edges of each square by symmetric curves bulging alternately inwards and outwards, so that each modified square now has a rotation of order two and reflections in horizontal and vertical axes as symmetries but no longer has rotations of order four or diagonal reflections as symmetries. - Joseph Myers, Oct 08 2011
REFERENCES
Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Sections 6.2 and 9.4.
CROSSREFS
Sequence in context: A229188 A345955 A091486 * A390659 A183113 A102877
KEYWORD
nonn,hard,more
AUTHOR
James Sellers, Aug 28 2000
EXTENSIONS
Edited by T. D. Noe, Apr 09 2009
Edited and a(11)-a(16) by Joseph Myers, Oct 08 2011
STATUS
approved