An algorithm of rigid foldable tessellation origami to adapt to free-form surfaces

Abstract

When creating new kinds of origami, people design origami creases pattern on 2D plane. Consequently, people unable to precisely envision the 3D folded shape. However, in architecture, civil engineering and industrial applications, an accurate layout is important. This research is to compile an algorithm for creating origami forms with developability and flat-foldability on the target surface, more specifically, by setting a target surface first, generating a Miura-ori tessellation from the geometric configuration of a target surface. We achieve creating origami forms on a target surface, so that we can generate architectural surfaces with folded structure and accurately layout for construction. Our approach facilitates designing a free-form origami structure upon parametric and 3D modelling software for artists, designers and architects.