From the spirals of seashells to the arrangement of sunflower seeds, nature consistently follows a remarkable mathematical pattern known as the golden ratio. While this ratio has fascinated ...

When Fibonacci introduced what would become an eponymous sequence, he did so using rabbits as an analogy. Breeding pairs of rabbits are able to multiply within their ranks infinitely. Unfortunately, ...

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 ...

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 ...

Fibonacci retracement uses specific ratios to predict stock reversals. Key Fibonacci levels are 0%, 23.6%, 38.2%, 50%, 61.8%, and 100%. Investors use these levels for setting price goals and trading ...