For most block types in square, honeycomb, and cubic combinatorial metamaterials, arbitrary defect patterns are realizable, while some block types exclude many patterns; in 3D all defect lines form closed curves and can realize any knot or link.
In the cases of Blocks C3, C4, and C5, it is not, and this can be seen by a 3D version (Fig
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Defect Positioning in Combinatorial Metamaterials
For most block types in square, honeycomb, and cubic combinatorial metamaterials, arbitrary defect patterns are realizable, while some block types exclude many patterns; in 3D all defect lines form closed curves and can realize any knot or link.