All compression and cantilever bending tests were performed using an Instron 5943 equipped with Bluehill data acquisition software and a 5-N load cell. Custom, nonmagnetic anvils were fabricated to test the structures under various magnetic fields by allowing a magnet to be placed at varying distances from the sample, with the magnetic field primarily aligned with the direction of applied force during mechanical testing. The maximum magnetic field applied to the unit cell and lattice was 0.18 and 0.11 T, respectively, and measured with an Alpha Labs, Model GM1-ST Gaussmeter. The difference in maximum field strength of each test was due to the distance from the magnet to the center of the sample allowed by the test setup. Each cuboctahedron structure was tested with the (100) plane aligned in the direction of the applied force and compressed three times to rule out any strain softening caused by the strain history–dependent Mullin’s effect (49). The Young’s modulus of the test structures was found by taking the slope of the unloading curve of the third cycle of the stress-strain curve (fig. S2). The unloading curve was used instead of the loading curve to mitigate loading imperfections such as sample misalignment and partial contact of the sample with the platens. All structures were compressed to a strain of 2.5% at a rate of 20 μm/s. The response times of the structures were determined as the time required for the structure to reach 95% of the final stiffness value from the initial state. Response time measurements were acquired from a strain-controlled test, with a static strain of 10% applied to the cuboctahedron unit cell while placing a neodymium magnet (K&J Magnetics) underneath the sample. Four samples were tested.

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