It is a big challenge for materials scientists to produce highly ordered micro- and nanostructures in a designed pattern with uniform size and shape. By controlling the geometry and the stress upon ...

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 ...

First mapped by a merchant's son in 13th-century Italy, the Fibonacci sequence has become one of the most influential patterns in science, design, and technology. When you think of math, you might ...

While the aesthetics and symmetry of Fibonacci spiral patterns has often attracted scientists, a mathematical or physical explanation for their common occurrence in nature is yet to be discovered.

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 ...

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 ...

Leonardo Pisano (1170–1250), or Fibonacci, is perhaps best known for a remarkable sequence of numbers that arises out of a problem that involves breeding rabbits. The problem is contained in the third ...

Discover how Fibonacci Fans help predict support and resistance levels in trading by using trendlines and the Fibonacci ...