  Metamaterials achieve unprecedented properties from designed architected
structures. However, they are often constructed from a single repeating
building block that exhibits monotonic shape changes with single degree of
freedom, thereby leading to specific spatial forms and limited
reconfigurability. Here we introduce a transformable three-dimensional modular
kirigami with multiple degrees of freedom that could reconfigure into versatile
distinct daughter building blocks. Consequently, the combinatorial and spatial
modular assembly of these building blocks could create a wealth of
reconfigurable architected materials with diverse structures and unique
properties, including reconfigurable 1D periodic column-like materials with
bifurcated states, 2D lattice-like architected materials with phase transition
of chirality, as well as 3D quasiperiodic yet frustration-free multilayered
architected materials in a long-range order with programmable deformation
modes. Our strategy opens an avenue to design a new class of modular
reconfigurable metamaterials that are reprogrammable and reusable for potential
multifunctionality in architectural, phononic, mechanical, and robotic
applications.
