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A de Bruijn tiling like theoretical framework was built elucidating the formation mechanism of spin quasicrystals for diverse symmetries. Moreover, the configurations of these spin textures can be manipulated through the adjustments of the wavefronts, among which phason-like discontinuous dynamics is observed and quantitatively measured. Unlike optical quasicrystals shaped by electromagnetic fields, these spin-governed quasicrystals exhibit quasi-periodic properties of kinematic parameters, extending their potential applications to other physical systems. 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