  We investigate Choptuik scaling in the spherically symmetric collapse of a
massless scalar field in higher dimensions using Painleve-Gullstrand (P-G)
coordinates. Our analysis confirms the presence in higher dimensions of the
cusps in the periodic scaling relationship recently observed in four
dimensional collapse. In addition, we address the issue of the asymptotic
behaviour of the critical exponent as the number of spacetime dimensions gets
large. Our results are consistent with earlier work suggesting that the
critical exponent monotonically approaches 1/2 in this limit.
