  Common assumptions on the source producing the words inserted in a suffix
trie with $n$ leaves lead to a $\log n$ height and saturation level. We provide
an example of a suffix trie whose height increases faster than a power of $n$
and another one whose saturation level is negligible with respect to $\log n$.
Both are built from VLMC (Variable Length Markov Chain) probabilistic sources;
they are easily extended to families of sources having the same properties. The
first example corresponds to a "logarithmic infinite comb" and enjoys a non
uniform polynomial mixing. The second one corresponds to a "factorial infinite
comb" for which mixing is uniform and exponential.
