The Secret and Origin of Pi

🔍 The Ancient Discovery

Long ago, ancient mathematicians made a remarkable observation: there's a constant ratio between the diameter of any circle and its circumference, regardless of the circle's size. Whether the circle is tiny or enormous, this ratio never changes.

The Fundamental Relationship

or

This ratio is the same for every circle in the universe!

🎯 What Exactly is π?

Pi (π) is the name we give to this mysterious constant. But here's what makes it so fascinating: it's an irrational number, meaning its decimal representation goes on forever without any repeating pattern.

The Value of π

The digits continue infinitely with no repeating pattern

📚 The Historical Quest

For thousands of years, mathematicians have been obsessed with calculating π to more and more decimal places. This became a challenge of human ingenuity and computational power.

🧮 Methods of Calculating π

Over the centuries, mathematicians developed ingenious methods to calculate π with increasing precision.

Classical Methods

📐 Geometric Method (Archimedes)

Draw polygons inside and outside a circle with increasing numbers of sides

Triangle → Square → Pentagon → Hexagon → ... → 96-sided polygon

∞ Infinite Series

Use mathematical series that converge to π:

💻 Computer Algorithms

Modern algorithms like Chudnovsky's formula can calculate millions of digits per iteration

🌟 Why the Obsession?