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A060621 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here the codimension D-d is equal to 3 and d varies. +0
2
12, 36, 100, 264, 672, 1664, 4032, 9600, 22528, 52224 (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

FORMULA

Numbers so far satisfy a(n) = 2^n*(n^2+11n+24)/2. - R. Stephan, Apr 08 2004

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: A152135 A080562 A033196 this_sequence A058880 A055551 A073403

Adjacent sequences: A060618 A060619 A060620 this_sequence A060622 A060623 A060624

KEYWORD

nonn

AUTHOR

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

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Last modified November 23 17:09 EST 2009. Contains 167438 sequences.


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