Kirigami, the art of introducing cuts in thin sheets to enable articulation and deployment, has till recently been the domain of artists. With the realization that these structures form a novel class of mechanical metamaterials, there is increasing interest in using periodic tiling patterns as the basis for the space of designs. Here, we show that aperiodic quasicrystals can also serve as the basis for designing deployable kirigami structures and analyze their geometrical, topological and mechanical properties. Our work explores the interplay between geometry, topology and mechanics for the design of aperiodic kirigami patterns, thereby enriching our understanding of the effectiveness of kirigami cuts in metamaterial design.
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