File Name : s1_comp.tiff Caption : s1. (a) force displacement curve obtained numerically for the perfect lattice for a confining strain εx=0.12. (b) snapshots of the metamaterial corresponding to states (1)–(10) where x and y polarized holes are highlighted in green and red respectively. File Name : s2_comp.tiff Caption : s2. force displacement curves obtained numerically for a confining strain εx=0.12 for the equally spaced layer partition (a) with gravity and (b) without gravity. the curves are accompanied by snapshots of the specimen at given metamaterial states where x and y polarized holes are highlighted in green and red respectively. File Name : s3_comp.tiff Caption : s3. (a) force displacement curve obtained numerically for the cross partition for a confining strain εx=0.12. (b) snapshots of the metamaterial corresponding to states (1)–(7) where x and y polarized holes are highlighted in green and red respectively.