【摘 要】
：
Even an algebraic equation as simple as x2+ax+b=0 may unfold many interesting stories.The solutions of the equations x2-x-1=0, x2-2x-1=0 and x2-4x+1=0 are refer
【机 构】
：
InstituteofPhysics,ChineseAcademyofSciences,100190,Beijing
【出 处】
：
第十三届国际凝聚态理论与计算材料学会议(The 13th International Conference on Con
论文部分内容阅读
Even an algebraic equation as simple as x2+ax+b=0 may unfold many interesting stories.The solutions of the equations x2-x-1=0, x2-2x-1=0 and x2-4x+1=0 are referred to as the golden ratio, the silver ratio and the platinum ratio which are further related to the 10-fold, 8-fold and 12-fold quasiperiodic structures, respectively.In fact, these numbers make their presence in many patterns in nature, and even in the Ising model, the hard hexagon model, the Hardys test of Bells inequality, etc.
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