  We explicitly construct the analogue of the \v{d}Alembert solution to the 1+1
wave equation in an hyperboloidal setting. This hyperboloidal \v{d}Alembert
solution is used, in turn, to gain intuition into the behaviour of solutions to
the wave equation in a hyperboloidal foliation and to explain some apparently
anomalous behaviour observed in numerically constructed solutions discussed in
the literature.
