  In this paper, we prove that there is a weakly universal cellular automaton
on the pentagrid with two states. This paper improves in some sense a previous
result with three states. Both results make use of \textit{\`a la Moore}
neighbourhood. However, the result with three states is rotation invariant
while that with two states is not. In both cases, at each step of the
computation, the set of non quiescent states has always infinitely many cycles.
