Rigid Origami

Rigid origami is a branch of origami which is concerned with folding structures using flat rigid sheets joined by hinges.

Rigid origami. Rigid origami simulation in this grasshopper definition you can use the crane plugin to simulate real time origami folding. Rigid origami where stiff panels are folded along hinged creases has numerous applications in kinetic architecture deploying solar panels into outer space 11 13 and robotics to name a few. The rotating vector model is proposed which establishes the loop closure conditions among a group of characteristic vectors.

Authors xiang liu 1 joseph m gattas 2 yan chen 1 3 affiliations 1 school of mechanical engineering tianjin university tianjin 300072. A rigid folding i e valid configuration is a configuration which satisfies a set of constraints derived from isometries eq. This paper examines the mathematical modelling of rigid origami a type of origami where all the panels are rigid and can only rotate about crease lines.

Rigid origami folder this tool is develop for the project folding rigid origami with closure constraints. Introduction rigid origami folder is a commandline tool developed by zhonghuaxi it loads a crease pattern and find the folding path for it. Facet stiffness is the stiffness of the triangulated faces between creases in the pattern.

One dof superimposed rigid origami with multiple states sci rep. It may take a while typically several seconds once done a window will be popped up to show the origami which user can interact with. Such applications have motivated much research into the mathematics and mechanics of rigid folding over many years 5 12 16.

Rigid origami is a part of the study of the mathematics of paper folding and rigid. That is unlike with paper origami the sheets cannot bend during the folding process. Folding of rigid foldable patterns is characterized by purely rotation about the creases without deformation from the facets.

Below and nonintersection of the facets. Be sure to set the solver the rigid mode and the quad flat to on and then hold the fold unfold button to simulate the folding unfolding. See project page for detail.

However there is no requirement that the structure start as a single flat sheet for instance shopping bags with flat bottoms are studied as part of rigid origami. Rigid origami one area of origami math research that has attracted considerable interest but for which the literature is somewhat spotty or hard to find is the subject of rigid origami. Increasing facet stiffness causes the faces between creases to stay very flat as the origami is folded.

This can be summarized by the question which origami models can be opened to a completely flat unfolded state and closed to the completely folded state in a rigid manner. Fold stiffness is the stiffness of the mountain and valley creases in the origami pattern.