A075205 Number of polyominoes with n cells that tile the plane isohedrally.

1, 1, 2, 5, 12, 35, 104, 342, 1041, 3026, 6512, 23227, 38238, 108204, 278426, 544635, 825654, 3049903, 3375582, 12108377, 21899125, 36960289, 53317222, 220706640, 271264826

Offset: 1

Author

Joseph Myers, Sep 08 2002

Keywords

• hard
• nonn

Comments

A tiling is isohedral if the symmetries of the tiling act transitively on the tiles; a shape is anisohedral if it tiles the plane, but not isohedrally.

References

• Branko Grünbaum and G. C. Shephard, Tilings and Patterns. W. H. Freeman, New York, 1987, Section 9.4.

Links

• Joseph Myers, Polyomino tiling
• Eric Weisstein's World of Mathematics, Isohedral Tiling

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075204, A075206, A075214, A075223.

Extensions

More terms from Joseph Myers, Nov 04 2003

a(24) and a(25) from Joseph Myers, Nov 17 2010