Action origami

Origami not only covers still-life, there are also moving objects.

Modular origami

Modular origami consists of putting a number of identical pieces together to form a complete model.

Wet-folding

Wet-folding is an origami technique for producing models with gentle curves rather than geometric straight folds and flat surfaces.

Pureland origami

Pureland origami adds the restrictions that only simple mountain/valley folds may be used, and all folds must have straightforward locations.

Origami tessellations

This branch of origami is one that has grown in popularity recently.

Kirigami

Kirigami is a Japanese term for paper cutting.