Sierpinski Triangle: The Elegance of Recursion

Introduction

The Sierpinski Triangle is a fascinating mathematical concept named after the Polish mathematician Wacław Sierpiński. It is a fractal and attractive fixed set with a striking triangular pattern formed by recursively subdividing an equilateral triangle into smaller congruent triangles.

How It Works

To create the Sierpinski Triangle:

1. Start with an equilateral triangle.
2. Divide it into four smaller congruent triangles by connecting the midpoints of each side.
3. Remove the central triangle.
4. Repeat the process with the remaining smaller triangles.

This recursive pattern continues infinitely, creating a beautiful complex design from a simple process.

Explore More

Here are more fascinating fractal explorations:

• The Mandelbrot Set
• Koch Snowflake
• Froge Fractals

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