The article explores how rigid origami structures can be analyzed using rigidity theory. By studying the consistency constraint and internal forces, the researchers defined different levels of rigidity. They found that static rigidity leads to prestress stability, which in turn leads to second-order rigidity and overall rigidity. This means that certain types of rigidity imply others, but not vice versa. The research provides examples of origami structures with varying levels of rigidity, offering insights for creating new folding patterns and designing rigid origami structures.