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.
RU-vid asks me to respect the creator's decision and consider twice whenever I want to share the video or not. I now have a great urge to make a crowdfunding for displaying this video at Shibuya, Times Square and Piccadilly Circus for everyone to see, believe and love.