  We reproduce and extend the previous studies of Lehner and Pretorius of the
endpoint of the Gregory-Laflamme instability of black strings in five
space-time dimensions. We consider unstable black strings of fixed thickness
and different lengths, and in all cases we confirm that at the intermediate
stages of the evolution the horizon can be interpreted as a quasistationary
self-similar sequence of black strings connecting spherical black holes on
different scales. However, we do not find any evidence for a global timescale
relating subsequent generations. The endpoint of the instability is the pinch
off of the horizon in finite asymptotic time, thus confirming the violation of
the weak cosmic censorship conjecture around black string spacetimes.
