  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.
