  Starting from infinitely many supercompact cardinals, we force a model of ZFC
where $\aleph_{\omega^2+1}$ satisfies simultaneously a strong principle of
reflection, called $\Delta$-reflection, and a version of the square principle,
denoted $\square(\aleph_{\omega^2+1}).$ Thus we show that $\aleph_{\omega^2+1}$
can satisfy simultaneously a strong reflection principle and an anti-reflection
principle.
