“…With high levels of control over end properties-given the additional degrees of design freedom afforded by controlling topology and base material-mechanical metamaterials are well suited to addressing complex engineering problems, like impact protection [17,50,262]. The common forms of unusual mechanical properties are auxetic (negative Poisson's ratio) behaviour (covered extensively in various reviews [46,50,307,309,345,346] and textbooks [308,347,348]), negative stiffness [349][350][351][352][353][354][355][356], shape morphing [337,[357][358][359], force/torque coupling [360][361][362][363][364], active/adaptive behaviour [351,[365][366][367], or programmable properties that are tuned to a specific application [17,26,28,341,361].…”