It is shown that the golden ratio plays a prominent role in the dimensions of all objects which exhibit five-fold symmetry. It is also showed that among the irrational numbers, the golden ratio is the most irrational and, as a result, has unique applications in number theory, search algorithms, the minimization of functions, network theory, the atomic structure of certain materials and the growth of biological organisms.
Richard A. Dunlap, The Golden Ratio and Fibonacci Numbers
biology, fibonacci-sequence, fine-structure-constant, golden-mean, golden-ratio, mathematics, number-theory, symmetry