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Christmas! Just a
But to answer that, we need to talk about parallel universes. And if you thought my other tangents were complicated, just you wait.
Okay, so Mario's position is a floating point number, but it's converted into a short when the game uses it to test for collision with floor triangles. In other words, Mario's position can be any number, but it's converted to an integer between -32,768 and 32,767 inclusive. So, any fractional portion is truncated and numbers too big or too small are moved into this range using a modulo operator. Graphically, that means that the position used for floor detection is always inside of this box. ([the box] (http://i.imgur.com/l7hyfw7.png)) So if Mario's in that box, then his actual position and the position used for floor detection are the same. Albeit, maybe off by a single fraction due to the truncation.