The swankiest suite and the scruffiest budget room have exactly one thing in common: you will spend your first hours there completely baffled. Think about the number of hotel rooms you’ve been in. The swank, the scruffy, the minimalist, the cave-dark. The one with the closet big enough for a family of four; another with nary a hook for your things. Each is so different—and yet they all share one essential quality: they are puzzles that need to be solved, preferably before you go to sleep.