The ratio, 0.6180, of the short, a, to the long, b, part of a line, divided so X\\dXa/b = b/a + b, is common in nature; often is called the "golden mean." An analogous line for the chemical elements is the distance between the centers of atoms in a compound. The alkali metal halide salts, which form from atoms at the extremes of reactivity in each series of the periodic table, should serve as reference compounds. If the short, a, part of the line is the covalent radius of the halogen atom, X… Expand

By Zeckendorf’s theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every positive number can be… Expand

By Zeckendorf’s theorem, an equivalent definition of the Fibonacci sequence (appropriately normalized) is that it is the unique sequence of increasing integers such that every positive number can be… Expand