The Magical Numbers of the Fibonacci Series

In the 12th century, an Italian mathematician traveled to the Middle East and was introduced to a mysterious set of numbers, which he brought back to the Western world and which now bear his name: the Fibonacci series.

The series is produced by adding any two adjacent numbers to arrive at the next-higher number, or subtracting to arrive at the next lower number. Starting with 1, the series is: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610 etc., to infinity. ...