Research Article
Shape and topology morphing of closed surfaces integrating origami and kirigami
Abstract
A
closed surface is generally more resistant to deformation and shape
changes than an open surface. An empty closed box, for example, is
stiffer and more stable than when it is open. The presence of an opening
makes it less constrained, more deformable, and easier to morph, as
demonstrated by several studies on open-surface morphing across
patterns, materials, and scales. Here, we present a platform to morph
closed surfaces with bistability that harnesses a balanced integration
of origami and kirigami principles. By harmonizing panel rotation around
creases nearly tangent to the closed surface and panel rotation around
hinges nearly perpendicular to the closed surface, we show that
origami-kirigami assemblages can shape-morph between a cube and a
sphere, scale between spheres of dissimilar size, and change topology
between a sphere and a torus, with programmed bistability. The framework
offers a promising strategy for designing bistable reconfigurable
structures and metamaterials with enclosed configurations.
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