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A060622 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here the codimension D-d is equal to 4 and d varies. +0
1
32, 240, 2144, 22624 (list; graph; listen)
OFFSET

0,1

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 Z(d,d), there is a unique tiling therefore the first term of the series is 0. Likewise, there are always two tilings of Z(d+1,d) with a flip between them, therefore the second term of the series is 1.

CROSSREFS

Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.

Sequence in context: A070053 A022146 A160061 this_sequence A118999 A008512 A111450

Adjacent sequences: A060619 A060620 A060621 this_sequence A060623 A060624 A060625

KEYWORD

nonn

AUTHOR

Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 13 2001

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.


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