  The critical solution in Choptuik scaling is shown to be closely related to
the critical solution in the black-string black-hole transition (the merger),
through double analytic continuation, and a change of a boundary condition. The
interest in studying various space-time dimensions D for both systems is
stressed. Gundlach-Hod-Piran off-critical oscillations, familiar in the
Choptuik set-up, are predicted for the merger system and are predicted to
disappear above a critical dimension D*=10. The scaling constants, Delta(D),
gamma(D), are shown to combine naturally to a single complex number.
