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.Kirigami is a traditional Japanese paper crafting art that has recently become popular among scientists and engineers. The simple idea of introducing cuts in a sheet of material has led to a surprisingly wide range of applications, including the design of super-stretchable materials [1], nanocomposites [2, 3], energy-storing devices [4] and robotics [5]. Numerous works have been devoted to the design of deployable kirigami patterns based on triangles [6], quads [7,8] or even ancient Islamic tiling patterns [9], with recent efforts on generalizing their cut geometry [10][11][12][13][14] and cut topology [15,16].Almost without exception, these prior studies have manipulated the geometry, topology, and mechanics of tiling patterns with translational symmetry, most recently using periodic deployable 1