Typically, kirigami starts with a folded base, which is then cut; cuts are then opened and flattened to make the finished kirigami. Kirigami are usually symmetrical, such as snowflakes, pentagrams, or orchid blossoms.
A difference between kirigami and the art of "pop-up" is that kirigami is made out of a single piece of paper that has been cut into a design. Pop ups can be made of several pieces glued together.
Mon-Kiri is the Japanese art of paper cutting.