Fibonacci Sequence Live Visualizer

Watch the Fibonacci sequence generate in real time with animated rainbow digits and flowing spectrum effects. Each number grows exponentially while the colors shift dynamically across the full spectrum.

What Is the Fibonacci Sequence?

The Fibonacci sequence is a mathematical pattern where each number equals the sum of the two previous numbers. It begins with 0 and 1 and continues infinitely: 0, 1, 1, 2, 3, 5, 8, 13, 21...

Why Is Fibonacci Important?

The Fibonacci sequence appears in natural growth patterns, spiral shells, branching trees, flower petals, architecture, and even financial modeling.

The Golden Ratio

As Fibonacci numbers grow larger, the ratio between consecutive numbers approaches approximately 1.618 — known as the Golden Ratio.