%I A060595
%S A060595 1,2,10,148,7686
%N A060595 Number of 3-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 d=3 and D varies.
%D A060595 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
%D A060595 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.
%D A060595 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.
%H A060595 M. Latapy, <a href="http://www.liafa.jussieu.fr/~latapy/Zono/index.html">
               Tilings of Zonotopes</a>
%e A060595 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 d-tilings of Z(d+1,d), therefore the second 
               term is 2. More examples are available on my web page.
%Y A060595 Cf. A006245 (two-dimensional tilings), A060596-A060602. A diagonal of 
               A060637.
%Y A060595 Sequence in context: A137884 A057565 A152804 this_sequence A086619 A165940 
               A007080
%Y A060595 Adjacent sequences: A060592 A060593 A060594 this_sequence A060596 A060597 
               A060598
%K A060595 nonn,nice
%O A060595 3,2
%A A060595 Matthieu Latapy (latapy(AT)liafa.jussieu.fr), Apr 12 2001