Abstract Mechanical metamaterials at the microscale exhibit exotic static properties owing to their engineered building blocks1,2,3,4, but their dynamic properties have remained substantially less explored. Their design principles can target frequency-dependent properties5,6,7 and resilience under high-strain-rate deformation8,9, making them versatile materials for applications in lightweight impact resistance10,11,12, acoustic waveguiding7,13 or vibration damping14,15.