We propose versions of higher Bruhat orders for types B and C. This is
based on a theory of higher Bruhat orders of type~A and their geometric
interpretations (due to Manin--Shekhtman, Voevodskii--Kapranov, and Ziegler),
and on our study of the so-called symmetric cubillages of cyclic zonotopes.Comment: 22 pages, 12 figures, a reference is added, a misprint in commutative
diagram is correcte