The method of image charges relies on the proven uniqueness of the solution of the Laplace
differential equation for an electrostatic potential which satisfies some specified boundary
conditions. Granted by that uniqueness, the method of images is rightly described as nothing but
shrewdly guessing which and where image charges are to be placed to solve the given electrostatics
problem. Here we present an alternative image charges method that is based not on guessing but on
rigorous and simpler theoretical grounds, namely the constant potential inside any conductor and the
application of powerful geometric symmetries. The aforementioned required uniqueness and, more
importantly, guessing are therefore both altogether dispensed with. Our two new theoretical
fundaments also allow the image charges method to be introduced in earlier physics courses for
engineering and sciences students, instead of its present and usual introduction in electromagnetic
theory courses that demand famil…