Cuttings into parallelograms

Cutting a shape into parallelograms means dividing it into smaller regions, each of which is a parallelogram. This is a type of geometric partition. The goal is often to use as few parallelograms as possible, or to find if such a partition is possible at all for a given shape.

Important properties

• A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

• Not every polygon can be cut into parallelograms using straight cuts.

• Rectangles and parallelograms can be easily cut into smaller parallelograms by drawing lines parallel to their sides.

• The cuts must not overlap and must cover the entire original shape without gaps.