Extended Data Fig. 4: Metastructural precipitation in different material systems.

a, Metahydrogel library involving four categories of compound precipitation, including metalates, nonmetallates, hydroxides and halides. Based on the unique diffusion coefficient and precipitation reaction constant of each material, the resulting precipitation patterns exhibit three distinct modes: discrete rings (Blue dot), diffused rings (Orange dot), and hybrid structures (Blue and orange dots). b, Calculated filtered frequency ranges (Shadow regions) of metahydrogels within different material systems based on their morphologies. The lower line indicates the selected structural factor of different simulative system (Square points), while the upper line represents modulus value defined in the simulation (Circular points). c, Statistical distribution of damping frequency ranges of the soft metastructural system with different mechanical properties and structural factors, the mapping diagram represents the overall damping frequency ranges.