Fivefold symmetry refers to a type of symmetry where an object looks the same after being rotated by 72 degrees (or 1/5 of a full rotation). This symmetry is particularly interesting because it cannot exist in traditional three-dimensional space, making it essential for understanding quasicrystals and their unique arrangements. The presence of fivefold symmetry also plays a crucial role in Penrose tilings, which are non-periodic patterns that display a form of order without repetition.
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