We use Regge calculus to construct initial data for a particular class of B
rill wave metrics and compare the results with a corresponding continuum so
lution, finding excellent agreement. We then search for trapped surfaces in
both sets of initial data, and provide an independent verification of the
existence of an apparent horizon once a critical gravitational wave amplitu
de is passed. Our estimate of this critical value, using both the Regge and
continuum solutions, supports recent findings.