This National Science Foundation (NSF) Project Grant award under the Engineering (CFDA 47.041) program provides $293,331 to the University of Washington to develop models and experimental prototypes that establish the physical laws and practical applications of geometric variants in engineering irregular patterned material systems. The research aims to advance novel architected material systems that exploit irregular geometric patterns to produce unparalleled control over acoustic wave absorption, impedance, and frequency bandwidth. Drawing inspiration from natural patterns like the Fibonacci sequence in sunflowers, the project seeks to revolutionize current geometric designs in lattices. The anticipated outcomes include enhanced control of nonlinear wave dynamics and expanded attenuation bandwidth through irregular acoustic metamaterial designs. No sub-awards are planned under this grant, which has an ultimate completion date of March 31, 2027.