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Rumors were going crazy after a gamer created his own logo and posted it on Twitter. Next thing you know, many in the press saw it and decided it was real and that the console will called Xbox Infinity.
Xbox Fusion has some support after several sleuths found that Microsoft was buying domain names with that title. And there's Xbox Loop and maybe Xbox 8. Again, borrowing from Apple, how about the Xbox 3, Xbox 360s, or the new Xbox? Here's a connection IllumiRoom does begin with an i.