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Eight parallel lines are drawn with spacings  , 1,  , 1,  ,  , 1,  , where  is the golden ratio. Then more lines are added with the same spacings. These 16 lines plus a central line are repeated 10 times after rotating them by 36 degrees. The intersecting lines produce a network which can be used as a template for establishing various patterns having pentagonal symmetry (e.g., a Penrose tiling). The set of intersection points is similar to the X-ray diffraction pattern of certain quasicrystals. |
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