A075204 Number of polyominoes with n cells that tile the plane isohedrally but not by translation or by 180-degree rotation (Conway criterion).

0, 0, 0, 0, 0, 0, 3, 22, 80, 323, 338, 3322, 3178, 13590, 43045, 76881, 48781, 551137, 93592, 2190553, 3163376, 3542450, 1065943, 39341178, 31694933

Offset

1,7

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

Table of n, a(n) for n=1..25.

Joseph Myers, Polyomino tiling

Crossrefs

Cf. A054359, A075198, A075199, A075200, A075201, A075202, A075203, A075205, A075206, A075213, A075222.

Sequence in context: A143166 A268792 A055550 * A106150 A135836 A004305

Adjacent sequences: A075201 A075202 A075203 * A075205 A075206 A075207

Keyword

hard,nonn

Author

Joseph Myers, Sep 08 2002

Extensions

More terms from Joseph Myers, Nov 04 2003

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

Status

approved