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A060612 Number of flips between the d-dimensional tilings of the unary zonotope Z(D,d). Here d=4 and D varies. 2
0, 1, 12, 672 (list; graph; refs; listen; history; text; internal format)



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.


Table of n, a(n) for n=5..8.

M. Latapy, Generalized Integer Partitions, Tilings of Zonotopes and Lattices


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.


Cf. A001286 (case where d=1). Cf. A060595 (number of 3-tilings) for terminology. A diagonal of A060638.

Sequence in context: A281780 A295870 A177322 * A203307 A171105 A215686

Adjacent sequences:  A060609 A060610 A060611 * A060613 A060614 A060615




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



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Last modified September 27 09:09 EDT 2020. Contains 337380 sequences. (Running on oeis4.)