科赫曲线

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科赫曲线生成

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The Koch curve is a mathematical construction that has fascinated mathematicians, scientists, and enthusiasts alike for centuries. The curve is a fractal, meaning that it is self-similar, with each part of the curve looking like a smaller version of the whole. The construction of the curve is relatively simple: start with a straight line segment, then replace the middle third of that segment with two new segments that form an equilateral triangle. Repeat this process for each new segment, ad infinitum. This results in a curve that is infinitely long, yet enclosed within a finite area. The Koch curve has many interesting properties and applications in fields such as geometry, topology, and computer graphics.