
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, Fixedboundary octagonal random tilings: a combinatorial approach, Journal of Statistical Physics, 102 (2001), no. 12, 147190.
Victor Reiner, The generalized Baues problem, in New Perspectives in Algebraic Combinatorics (Berkeley, CA, 19961997), 293336, Math. Sci. Res. Inst. Publ., 38, Cambridge Univ. Press, Cambridge, 1999.


EXAMPLE

Z(3,3) is simply a cube and the only possible tile is Z(3,3) itself, therefore the first term of the series is 1. It is well known that there are always two dtilings of Z(d+1,d), therefore the second term is 2. More examples are available on my web page.
