The PDF file includes:

• Supplementary Text
• Fig. S1. Assumptions made when assembling the frame element describing a single strut.
• Fig. S2. Mechanical testing of MR fluid–filled struts under varying magnetic field orientations.
• Fig. S3. Mechanical testing of MR fluid–filled struts under varying magnetic field strengths.
• Fig. S4. Mechanical testing of MR fluid–filled cuboctahedron unit cells under varying magnetic field strengths.
• Fig. S5. Mechanical testing for reversibility of MR fluid–filled cuboctahedron unit cell.
• Fig. S6. Mechanical testing of MR fluid–filled cuboctahedron lattice under varying magnetic field strengths.
• Legends for movies S1 and S2
• Reference (49)

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Other Supplementary Material for this manuscript includes the following:

• Movie S1 (.mov format). Video of infilling a cuboctahedron lattice composed of a 2 by 2 by 2 arrangement of unit cells.
• Movie S2 (.mp4 format). Video of a cuboctahedron lattice with a 10-g mass placed on its top surface and the magnetic field strength gradually lowered by slowly removing a magnet.