An impulsive point excitation in a linear, nondispersive wave medium c
an produce an after-signal, which has been called a ''wake'' in the ma
thematical physics literature. Relations are derived between such wake
s and the dimensionality of the space by regarding a point source in s
pace of dimensionality N - 2 as a line source in N - 1 dimensions and
as a plane source in N dimensions. The ''magic'' of one and three dime
nsions is discussed from a new point of view.