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Elastic crystalline membranes exhibit a buckling transition from sphere topolyhedron. However, their morphologies are restricted to convex polyhedra andare difficult to externally control. Here, we study morphological changes ofclosed crystalline membrane of super-paramagnetic particles. The competition ofmagnetic dipole-dipole interactions with the elasticity of this magnetoelasticmembrane leads to concave morphologies. Interestingly, as the magnetic fieldstrength increases, the symmetry of the buckled membrane decreases from 5-foldto 3-fold, to 2-fold and, finally, to 1-fold rotational symmetry. This givesthe ability to switch the membrane morphology between convex and concave shapeswith specific symmetry and provides promising applications for membrane shapecontrol in the design of actuatable micro-containers for targeted deliverysystems.

Crystalline membrane morphology beyond polyhedra