We investigate the evolution of the apparent horizon in three families
of numerically generated spacetimes: the 'black hole plus Brill wave'
spacetimes of Bernstein et al., the non-time symmetric generalisation
of this by Brandt, and the Misner two black hole spacetime. Various m
easures of the curvature and shape of the horizon are shown as a funct
ion of coordinate time at infinity and it is found that the horizon os
cillates at the lowest quasinormal mode frequency of the hole. In addi
tion, in the spacetimes with angular momentum the total angular moment
um of the final hole can be read off from the oscillations of the hori
zon directly without having to extract it from the gravitational radia
tion emitted by the hole.