Hello everyone. I have a electrostatic question. http://www.tutorvista.com/content/physics/physics-i/static-electric-current/gold-leaf-electroscope.php" [Broken] At the bottom of this link, under section "Distribution of charge over surfaces". We see sphere has uniform surface charge density. But the irregular pointed pear shape has non-uniform distribution. My question is other than sphere, for example a cubic, if we know the voltage (electric potential) on the surface, do we have an exact solution for the surface distribution?