Koch's dots

Koch's dots are part of a mathematical technique called the Koch curve, which creates a complex, snowflake-like pattern through geometric iterations. Starting with a straight line, you divide it into thirds, then replace the middle third with two segments that form an equilateral bump, and repeat this process for each new segment infinitely. The resulting pattern is a highly intricate fractal that displays self-similarity at different scales, illustrating how simple rules can generate complex structures. This method helps in understanding natural patterns and the mathematical properties of fractals.