The aesthetics of quasicrystals has fascinated mankind already for centuries. Numerous examples are known in one and two dimensions, yet in three dimensions only icosahedral quasicrystals have been realized and observed to date in any system, i.e., in man-made, natural, photonic, and phononic quasicrystals. We rationally construct the novel class of three-dimensional rhombicuboctahedral quasicrystals and realize it as polymer microstructure.
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