A070768 Number of polyhexes with n cells without holes that do not tile the plane.

0, 0, 0, 0, 0, 4, 37, 381, 2717, 18760, 116439, 565943, 3033697, 14835067, 72633658, 356923880, 1746833634, 8532601529, 41868336466, 205618704167, 1012359995953

Offset: 1

Author

Joseph Myers, May 05 2002

Keywords

• nonn
• hard
• more

References

• M. Gardner, Tiling with Polyominoes, Polyiamonds and Polyhexes. Chap. 14 in Time Travel and Other Mathematical Bewilderments. New York: W. H. Freeman, pp. 175-187, 1988.

Links

• Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms
• Craig S. Kaplan, Heesch Numbers of Unmarked Polyforms, arXiv:2105.09438 [cs.CG], 2021. See Table 3 and Table 4.
• Joseph Myers, Polyhex tiling

Crossrefs

Cf. A018190, A070766, A070767, A038144, A054361, A071334.

Extensions

More terms from Joseph Myers, Nov 06 2003

More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), May 05 2007