More faces than a politician
drswirly and I have occasionally discussed this question; I've been vaguely meaning to get round to posting a poll about it for ages. And what better day to post polls than on polling day? Even if they're completely frivolous and have nothing to do with politics. (In fact, especially if they're completely frivolous and have nothing to do with politics.)
In case you don't already have clear mental images of what the five Platonic solids look like, MathWorld has pictures you can click on and rotate, and I've also put up a set of Flash applets of my own. (Sorry about the Flash; it happened to be what I had conveniently available, for historical reasons.)
Poll Platonic solids