The invention relates generally to optically high transparency and adjustable haze, superomniphobic, rigid and flexible structures and, more particularly, to fused silica glass and flexible plastic, e.g., polymer, structures having a sub-wavelength texture formed on a surface thereof, which is effective to impart the optical properties of high transparency and adjustable haze to the structures. The texture is reentrant. Additionally, the optically high transparency and adjustable haze structures include a silicon dioxide coating applied to the texture and a treatment of a low surface energy material deposited on the silicon dioxide coating. The silicon dioxide coating renders the structures super hydrophilic, and the low surface energy material treatment renders the structures superomniphobic.