“…While experimentally elusive to realize and validate, planarity of 2D origami is of paramount importance to numerous applications that seek to organize secondary materials with nanometer-scale precision (13,14), including fundamental studies of light harvesting and excitonics (15)(16)(17)(18), single-molecule (19)(20)(21) and superresolution imaging (19,22), molecular biophysics (23), photonics (24), cellular biophysics (25)(26)(27)(28), and surface-based patterning and lithography (29,30). Multilayer honeycomb (31) and square lattice (32) bricklike origami designs offer alternatives to fabricating monolayer 2D origami, but they achieve planarity while reducing the overall lateral dimension of objects that can be rendered because of the increased length of scaffold required; they may require careful sequence design with iterative feedback from structural simulations and experiment to reduce or eliminate intrinsic twist (6,8,9,32), and they are largely limited geometrically to rendering rectilinear geometries that consist of parallel duplexes throughout the object, with (33) or without curvature (1,34). Attaching 2D monolayer origami to surfaces using high-affinity ligand-receptor pairs may be used to partially flatten objects, although experimental validation is again challenging because of the perturbative nature of AFM and the low contrast of TEM, and numerous applications are not amenable to this biochemical immobilization strategy.…”