The following preprint is available; Limits in symmetric cubical categories (On weak cubical categories, II) Dip. Mat. Univ. Genova, Preprint 568 (2009). (25 pages) http://www.dima.unige.it/~grandis/CCat2.pdf (ps) Abstract. Weak symmetric cubical categories are equipped with an action of the n-dimensional symmetric group on the n-dimensional component; this action, besides simplifying the coherence conditions, yields a *symmetric* monoidal closed structure and one path functor. As a consequence, we have a clear notion of higher cubical transformations of symmetric cubical functors (which is not the case in the non-symmetric setting). Here we deal with symmetric cubical limits, showing that they can be constructed from symmetric cubical products, equalisers and tabulators. Weak double categories are a cubical truncation of the present structures; double limits are compared with the cubical ones. With best wishes Marco Grandis