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We describe the formation of spatial structures generated by di †usive instabilities in bistable systems. The coupling between the di †erent spatial modes emanating from the two homogeneous steady states can then give rise to self-parametric instabilities favoring the occurrence of resonant rhombic or quasiperiodic structures such as superlattices or quasicrystalline patterns.doi:10.1039/b103430h fatcat:hwrr7niz45bsdpxw7i6jzflf3i