Search: id:A060595 Results 1-1 of 1 results found. %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, Tilings of Zonotopes %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 Search completed in 0.001 seconds