Mathematical folding refers to the process of manipulating shapes or figures through folding techniques to explore geometric properties and relationships. This concept is often used in fields like geometry and topology, where the focus is on understanding how shapes can be transformed without cutting or tearing. One common application of mathematical folding is in origami, the art of paper folding. Origami not only serves as a creative outlet but also provides insights into complex mathematical concepts, such as symmetry and congruence. By studying these folds, mathematicians can develop new theories and solve problems related to spatial reasoning.