Origami

Abstract
Through the study of origami, an interdisciplinary approach investigates the mathematical, architectural, and structural aspects of folded structures, which help to understand how paper folding can be used as a medium to solve structural and aesthetic problems. In this context, origami presents an interface to gain cognitive experience on spatial configurations and form finding and acts as an effective tool for further morphological explorations in the architectural design process. Based on undertaking a data collection exercise with architecture students, origami has proved to be a rich source of inspiration and has found its way into a wide range of design applications. It has even led to the discovery of new forms and methods of
The development of instructions made origami accessible to the west as a new creative tool. The traditional style of origami has been developed as a consequence of such a cultural exchange (Tantawy, 2015). In this context, modern origami that started in the 20th century is based on a completely different paradigm. One of the most influential origami artists and theorists, the American physicist Robert Lang, has not only contributed many publications on folding strategies but has also made great advances in applying origami to real-world engineering problems (Hemmerling, 2010). With these developments, origami has become an inspiration for engineers in the fields of structural engineering, architecture, biotechnology, medicine, space engineering, and other technical applications (Gilewski et al., 2014).
Another aspect worth mentioning is that designers and engineers are more conscious about including sustainable aspects in their design strategies (Kloepffer, 2008). In this context, origami has inspired many designers and engineers to come up with novel ways to fabricate, assemble, store, and morph objects and structures. This trend has resulted in sustainable product designs that incorporate the use of green materials as paper via its high level of recyclable contents (Wu,
However, mathematicians, scientists, and engineers have discovered that an endless number of shapes could be created in theory by using traditional origami (Peraza-Hernandez et al., 2014). These discoveries have enabled new approaches for the manufacturing, assembling, and morphing of devices and structures based on the principles of origami. This is evident in the increasing attention given to the theories and tools related to origami in the past four decades (Fei and Sujan, 2013; Lang, 2004). This increased interest in challenging origami forms has eventually led to further investigation of the geometric features, topological properties, and structural capabilities of paper folding, which provide an invaluable medium for the inspiration of many architectural