We graphically study the Mandelbrot-like set of the complex exponential fam
ily of maps E-lambda(z) = lambda e(z), which we call the Baker-Rippon-Devan
ey (BRD) set. We observe that the period of every hyperbolic component can
be deduced with the naked eye by using two simple rules. (C) 1998 American
Institute of Physics. [S1054-1500(98)01803-5].