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We exploit the intrinsic difference between disordered and crystalline solidsto create systems with unusual and exquisitely tuned mechanical properties. Todemonstrate the power of this approach, we design materials that are eithervirtually incompressible or completely auxetic. Disordered networks can beefficiently driven to these extreme limits by removing a very small fraction ofbonds via a selected-bond removal procedure that is both simple andexperimentally relevant. The procedure relies on the nearly complete absence ofany correlation between the contributions of an individual bond to differentelastic moduli. A new principle unique to disordered solids underlies this lackof correlation: independence of bond-level response.

Tuning by pruning: exploiting disorder for global response and the principle of bond-level independence