Very cool overwhelming condensed and interesting overview by Raph Koster on gaming, the mechanics etc.
His theory how games relate to math, or even games are mathematical – might sound complex, but he manages to explain it visually very strong and clear (one might complain about design and beauty, but the message is clear).
I agree games are complex, math is complex, but there is a beautiful system which we can learn from and investigate in.
His website is worth the while to take a look, and another look, and month later, look at it again, or maybe this would be perfect as a poster on the toilet, to grok (comprehend) all it’s content: Games Are Math: 10 Core Mechanics That Drive Compelling Gameplay