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A060602 Number of d-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 the codimension, i.e. D-d, is constant = 3 and d varies from 0 to ... +0
9
8, 24, 62, 148, 338, 752, 1646, 3564, 7658, 16360 (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), the number of codimension 0 tilings is always 1, with codimension 1 it is 2, with codimension 2 it is 2.D.

CROSSREFS

Cf. A006245 (two-dimensional tilings), A060595-A060601. A diagonal of A060637.

Sequence in context: A099041 A129959 A049724 this_sequence A066605 A066497 A111071

Adjacent sequences: A060599 A060600 A060601 this_sequence A060603 A060604 A060605

KEYWORD

nonn,nice

AUTHOR

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

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


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