  We consider the non linear focusing wave equation $\partial_{tt}u-\Delta
u-u|u|^{p-1}=0$ in large dimensions and for radially symmetric data, in the
energy supercritical zone for p large enough. We construct finite time blow up
solutions that concentrate the soliton profile $u \sim
\frac{1}{\lambda^{\frac{2}{p-1}}}Q (\frac{r} {\lambda})$, $Q$ being a special
stationary state of the equation. The blow up is of type II i.e all norms below
scaling remain bounded. The scale shrinks at quantized blow up rates: we
exhibit a countable family of asymptotic behaviors near blow up time for the
scale lambda. For each rate we are able to prove that there exists a Lipschitz
manifold with explicit codimension of initial data leading to such solutions.
  Our analysis adapts the robust energy method developed for the study of
energy critical bubbles and the analogous result for the energy supercritical
NLS problem. This work is also related to similar solutions for the non linear
heat equation for which the existence was already known, but with some
techniques that could not be adapted to the wave equation.
