Floating jigsaw puzzles work in the same way as regular jigsaw puzzles. The difference is that the parts behave very realistically, as if they are scattered across the table and the player pulls them one by one onto the playing field.
Parts in a collision behave almost like real ones - they push off each other and rotate.
When it hits the field, if you place the part close to the correct position, it will turn the right side on its own.
You can force the part to turn to the desired side using the "Left" and "Right" arrows on the keyboard.