I always assumed an electron was perfectly spherical, but it’s not quite that simple it seems. So what shape is an electron?
It’s definitely not that simple, but as I understand it you’re basically right.
Electrons don’t really have a shape since they are basically a point particle. However, you can measure the charge distribution around the electron, and I remember reading a few years ago when they did these measurements they found that the electron was surprisingly spherical.
This has some implications in quantum mechanics that I have to admit I do not understand, but one of the predictions was that it would not be so spherical.
It’s been a few years since I read this, so there may be newer info out there somewhere. One of our dopers with a better understanding of physics than I have may also be able to shed some light on the implications of the electron’s spherical shape.
Okay, thanks. 
Well, not all aspects of the electron are spherically symmetric. It does have an angular momentum and a magnetic dipole moment (which incidentally are not related in the way that classical physics would predict, but are related, to a ludicrous degree of precision, in the way that quantum field theory predicts). So when you ask how symmetric an electron is, it depends on what you’re measuring.