I don't play any of the games. In fact I suck at most of them. But (perhaps because of my lack of skill), I am fascinated by (and seriously study) the role of metaphor and narrative in how games map to real domains, in particular, business and military. I also spend way too much time thinking up new game ideas.
Andrew Nguyen has an excellent answer suppo... (more)
An elliptic curve is what you get when you cut a little parallelogram out of the complex plane:
and wrap the edges around, like you're playing Pacman on it. You can still add numbers together afterwards; they just wrap around the other side. For instance, if [math]\omega_1 = 1, \omega_2 = i [/math] in the picture above, then we'd have