#mathematical framework

Researchers from the Harvard John A. Paulson School of Engineering and Applied Sciences (SEAS) have developed a mathematical framework that can turn any sheet of material into any prescribed shape, inspired by the paper craft kirigami (from the Japanese, kiri, meaning to cut and kami, meaning paper).  

Unlike its better-known cousin origami, which uses folds to shape paper, kirigami relies on…

Scientists studying graphene’s properties are using a new mathematical framework to make extremely accurate characterizations of the 2-D material’s shape. The framework, called discrete differential geometry, is the geometry of 2-D interlaced structures called meshes. When the nodes of the structure correspond with atomic positions, this geometry provides direct information about chemistry and electrical properties.