This paper is devoted to a study of helical fields, that is fields which are invariant under screw motions of space which move a certain helix into itself.Simple, analytic, helically invariant solutions of the Laplace equation are given and combined to describe the electrostatic field of a charged helix, and of the magnetic field of a helical electric current. A flux function &psgr; is introduced for solenoidal helical vector fields, and differential equations resembling Cauchy‐Riemann equations are derived for the potential function &phgr; and the flux function &psgr;. Certain graphical flux plotting methods are outlined and illustrated, and network analogies are suggested for solving these fields.