Method for solving origami tessellation hole problem using triangle twist folding

Abstract Origami tessellations are geometric pieces folded from a single sheet of paper with flatly overlapped facets. Most existing origami constructed by first marking grid crease lines on the and then arranging repeating patterns along grid. However, this design method is limited because it cannot that be represented grid, such as regular pentagon. This proposes new construction for solves problem enriches these varieties. In proposed method, boundary an tessellation determined first, called triangle twist fold placed inside boundary. A similar approach known hole problem, although in paper, redefined discussed form suitable tessellations. As result, grid-independent was proposed, were obtained using software implements method.