Many people, but also experienced puzzle collectors only know simple puzzle boxes.
Many puzzle collectors associate with puzzle boxes only takeapart boxes.
But not every puzzle, which can be taken apart, is a takeapart puzzle.
As example, many often maze puzzles have also two parts.
Solving the puzzle means to take the two parts apart.
But maze puzzles are sequential movement puzzles and not takeapart puzzles.
Solving the 5x6 sliding block puzzle opens the box.
Therefore there are also other boxes than takeapart boxes.
But in how many puzzle categories can trick boxes belong?
There are puttogether puzzle boxes. To open a puttogether puzzle box means, to assembled several pieces in a correct position.
Interlocking puzzle boxes are also possible. A very famous example is the Maze Burr from Kagen Schaefer.
There are also other puzzle boxes, which are definitely puzzle boxes.
As example, magic boxes, where a coin disappears. I will call this sort of boxes howto puzzle boxes.
Actually this boxes are Impossible Objects. But I think the name Impossible Objects is a bad name for a puzzle category and should be replaced by howto puzzles.
But not just magic boxes are howto boxes. But also boxes, where the mechanism buffles.
As a well-known example the openable box from Satou, which can be opened from all sides, I would call a howto box.
I think there is also another category, which I will call adventure boxes. In an adventure box you have to solve several problems and not only one problem. Therefore they can be a mix of different categories and do not belong to the previously mentioned categories. Most adventure boxes belongs to takeapart puzzles.
So we have following puzzle box categories: