Rigid origami has great potential in aerospace applications,especially deployable polyhedrons with one degree of freedom(DOF)and flat-foldability,whose types are few to date.In this paper,we create a novel foldable cu...Rigid origami has great potential in aerospace applications,especially deployable polyhedrons with one degree of freedom(DOF)and flat-foldability,whose types are few to date.In this paper,we create a novel foldable cube and a rhombic dodecahedron by introducing slits and diagonal creases to the surfaces,whose one-DOF rigid and flat-foldable properties are verified by kinematic analysis.Then,based on the isohedral quadrilateral transform,we project the creases and slits of the rhombic dodecahedron onto a tetrahedron to obtain a novel foldable tetrahedron that has two flat-foldable motion paths due to the existence of collinear creases.Following the second path,unnecessary creases are removed,and an origami tetrahedron with simplified creases is constructed.Both origami tetrahedrons possess a small folded area.Kinematic analysis reveals that these newly discovered origami polyhedrons are flat-foldable with one DOF,demonstrating favorable application prospects for space architectures and extraterrestrial habitats.展开更多
基金XZ acknowledges financial support from the Natural Science Foundation ofChina(Project No.52105032)YC grate-fully acknowledges financial support from the Natural Science Founda-tion ofChina(Project No.51825503)+1 种基金the Tencent Foundation(Grant XPLORER-2020-1035)ML acknowledges financial support from the Natural Science Foundation of Shanghai(23ZR 1462600).
文摘Rigid origami has great potential in aerospace applications,especially deployable polyhedrons with one degree of freedom(DOF)and flat-foldability,whose types are few to date.In this paper,we create a novel foldable cube and a rhombic dodecahedron by introducing slits and diagonal creases to the surfaces,whose one-DOF rigid and flat-foldable properties are verified by kinematic analysis.Then,based on the isohedral quadrilateral transform,we project the creases and slits of the rhombic dodecahedron onto a tetrahedron to obtain a novel foldable tetrahedron that has two flat-foldable motion paths due to the existence of collinear creases.Following the second path,unnecessary creases are removed,and an origami tetrahedron with simplified creases is constructed.Both origami tetrahedrons possess a small folded area.Kinematic analysis reveals that these newly discovered origami polyhedrons are flat-foldable with one DOF,demonstrating favorable application prospects for space architectures and extraterrestrial habitats.
