The Koch Curve is a mathematical fractal that begins with a simple equilateral triangle. By repeatedly altering each side of the triangle, the curve creates a complex, self-similar pattern. This process involves dividing each line segment into three equal parts, removing the middle segment, and replacing it with two segments that form an outward-pointing triangle. As the iterations continue, the Koch Curve's length increases infinitely while its area remains finite. This property illustrates the concept of fractals, where simple rules lead to intricate structures. The Koch Curve is often used to demonstrate the principles of geometry and chaos theory in mathematics.