  We analyze the rel leaf of the Arnoux-Yoccoz translation surface in genus 3.
We show that the leaf is dense in the stratum $\mathcal{H}(2,2)^{\mathrm{odd}}$
but that the real-rel trajectory of the surface is divergent. On this real-rel
trajectory, the vertical foliation of one surface is invariant under a
pseudo-Anosov map (and in particular is uniquely ergodic), but the vertical
foliations on all other surfaces are completely periodic.
