The puzzle box Four found is a traditional Himitsu-Bako (Personal Secret Box) in the tricolor Kikkou pattern. Mass market cheap boxes require from 2 to 17 moves to open. Puzzle boxes taking over 100 moves have been made. The better grade of boxes often have more than one hidden compartment.
While prepping for the big battle, One uses the phrase "begs the question" to mean 'this question begs to be answered'. Originally the phrase comes from formal logic and rhetoric over 2000 years ago. In 'begging the question' your argument for the truth of a proposition was dependent on the truth of the proposition. "We can trust his word because he told us he never lies." Over the years "begs the question" has also come to mean "evades the real question".