Trying variants of a simple mathematical rule that yields interesting results can lead to additional discoveries and curiosities. The numbers 1, 1, 2, 3, 5, 8, 13, 21, 34, and 55 belong to a famous ...

You're probably familiar with Fibonacci series of numbers, first analyzed in a published manuscript by the 13th-century mathematician Leonardo, son of Fibonacci of Pisa (in what is now Italy). The ...

After dividing 1 by 999-quattuordecillion (a number that’s 48 integers long), you get the Fibonacci sequence presented in neat, 24-digit strings. Here’s why that happens. As a quick refresher, the ...

Pine cones. Stock-market quotations. Sunflowers. Classical architecture. Reproduction of bees. Roman poetry. What do they have in common? In one way or another, these and many more creations of nature ...

As their results began to crystallize, at first they didn’t notice the striking patterns emerging. But a colleague who reviewed their work spotted the famed Fibonacci numbers—a list whose entries have ...

What we today call the golden mean was known in antiquity. It is a specific ratio of lengths between two line segments. Ancient architects often used this ratio to achieve visually pleasing esthetic ...