Curved Crease Folding a Review on Art, Design and Mathematics

In this paper we review masterpieces of curved crease folding, the deployed design methods and geometric studies on this special kind of paper folding. Our goal is to make this work and its techniques accessible to enable further development. By exploring masterpieces of the past and present of this still underexplored field, this paper aims to contribute to the development of novel design methods to achieve shell structures and deployable structures that can accommodate structural properties and design intention for a wide range of materials.