, We will now use our representation to obtain some structural results on the space of tilings
Arctic octahedron in threedimensional rhombus tilings and related integer solid partitions, Journal of Statistical Physics, vol.109, pp.945-965, 2002. ,
URL : https://hal.archives-ouvertes.fr/hal-00012894
, Oriented matroids, Encyclopedia of Mathematics, vol.46, 1999.
, Contractions of octagonal tilings with rhombic tiles, pp.2003-2047, 2003.
URL : https://hal.archives-ouvertes.fr/hal-02101891
, Entropie configurationnelle des pavages aléatoires et des membranes dirigées, 1997.
Dualization of multigrids, J. Phys. France C, issue.47, pp.3-9, 1981. ,
URL : https://hal.archives-ouvertes.fr/jpa-00225712
Rhombic tilings of polygons and classes of reduced words in Coxeter groups, Journal of Combinatorial Theory, vol.77, pp.193-221, 1997. ,
A theorem on higher bruhat orders, Discrete and Computational Geometry, vol.23, pp.121-127, 2003. ,
, Zonotopes associated with higher bruhat orders
On the number of arrangements of pseudolines, Discrete Computational Geometry, vol.18, pp.257-267, 1997. ,
Tiling a polygon with parallelograms, Algorithmica, vol.9, pp.382-397, 1993. ,
The generalized baues problem, vol.38, 1999. ,
, Zonotopal tilings and the Bohne-Dress theorem, vol.178, pp.211-232, 1994.
Conway's tiling groups, American Mathematical Monthly, vol.97, pp.757-773, 1990. ,
, Lectures on polytopes, Graduate Texts in Mathematics, 1995.
Higher Bruhat orders and cyclic hyperplane arrangements, Topology, vol.32, pp.259-279, 1992. ,