  Singly-spinning Myers-Perry black holes in d>5 spacetime dimensions are
unstable for sufficiently large angular momentum. We numerically construct (in
d=6 and d=7) two new stationary branches of lumpy (rippled) black hole
solutions which bifurcate from the onset of this ultraspinning instability. We
give evidence that one of these branches connects through a topology-changing
merger to black ring solutions which we also construct numerically. The other
branch approaches a solution with large curvature invariants. We are also able
to compare the d=7 ring solutions with results from finite-size corrections to
the blackfold approach, finding excellent agreement.
