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A060597 Number of 6-dimensional tilings of unary zonotopes. The zonotope Z(D,d) is the projection of the D-dimensional hypercube onto the d-dimensional space and the tiles are the projections of the d-dimensional faces of the hypercube. Here d=6 and D varies. 0
1, 2, 16, 1646 (list; graph; refs; listen; history; internal format)
OFFSET

6,2

REFERENCES

A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White and G.M. Ziegler, Oriented Matroids, Encyclopedia of Mathematics 46 Second Edition, Cambridge University Press, 1999

N. Destainville, R. Mosseri and F. Bailly, Fixed-boundary octagonal random tilings: a combinatorial approach, Journal of Statistical Physics, 102 (2001), no. 1-2, 147-190.

Victor Reiner, The generalized Baues problem, in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 1996-1997), 293-336, Math. Sci. Res. Inst. Publ., 38, Cambridge Univ. Press, Cambridge, 1999.

LINKS

M. Latapy, Tilings of Zonotopes

EXAMPLE

For any d, the only possible tile for Z(d,d) is Z(d,d) itself, therefore the first term of the series is 1. It is well known that there are always two d-tilings of Z(d+1,d), therefore the second term is 2. More examples are available on my web page.

CROSSREFS

Cf. A006245 (two-dimensional tilings), A060595-A060602. A diagonal of A060637.

Sequence in context: A002543 A125791 A102103 * A091479 A016031 A001309

Adjacent sequences:  A060594 A060595 A060596 * A060598 A060599 A060600

KEYWORD

nonn,nice

AUTHOR

Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 12 2001

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Last modified February 15 15:20 EST 2012. Contains 205823 sequences.