A075214 Number of polyhexes with n cells that tile the plane isohedrally.

1, 1, 3, 7, 22, 76, 290, 1018, 3715, 11068, 24289, 102642, 163176, 527675, 1569567, 2929322, 4752512, 21006062, 24293375, 95578494, 205091895

Offset

1,3

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..21.

Joseph Myers, Polyhex tiling

Crossrefs

Cf. A070766, A075207, A075208, A075209, A075210, A075211, A075212, A075213, A075215, A075205, A075223.

Sequence in context: A340022 A181769 A354771 * A360887 A070766 A111772

Adjacent sequences: A075211 A075212 A075213 * A075215 A075216 A075217

Keyword

hard,nonn

Author

Joseph Myers, Sep 08 2002

Extensions

More terms from Joseph Myers, Nov 08 2003

a(20) and a(21) from Joseph Myers, Nov 21 2010

Status

approved