The major difference between a thing that might go wrong and a thing that cannot possibly go wrong is that when a thing that cannot possibly go wrong goes wrong it usually turns out to be impossible to get at or repair.
— Hitchhiker's Guide to the Galaxy by Douglas Adams (via comments)
Think of a line: with a difference equation, four adds gets you the next point in a cubic curve; every four adds gets you a new point. I came up with a method such that every four adds got you the point in the middle of the curve. It turns out that for doing subdivision surfaces, it's really fast.
"Always code as if the guy who ends up maintaining your code will be a violent psychopath who knows where you live."
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