Kirigami is a bit different to origami in the way that the artist is allowed to make small cuts in the paper (from Japanese "kiru" = to cut, "kami" = paper).
"Kirigami is usually made when certain folds are made in the paper to make a base, or the model without the cuts in it. Then, cuts are made in the base. When all the cuts are made, the base is opened out and flattened to make the finished kirigami. Usually symmetrical objects are made, such as snowflakes, pentagrams, or orchid blossoms."
This collection above is by lilzabubba. Here you can watch the whole album.
A bit more artistic than my attempts on new years:)