The ideas of topology are breaking ground in origami-based metamaterials. Experiments now show that certain shapes — doughnuts included — exhibit topological bistability, and can be made to click between different topologically stable states.
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Waitukaitis, S.R. Clicks for doughnuts. Nature Phys 14, 777–778 (2018). https://doi.org/10.1038/s41567-018-0160-6