@mathswithmuza: The Lévy C curve is a fascinating fractal created by repeatedly replacing every straight line segment with two shorter segments that meet at a right angle. With each iteration, the curve becomes more intricate, folding over itself in a pattern that is surprisingly orderly despite its complexity. Even though the construction follows a very simple rule, the resulting shape has an infinitely detailed boundary and displays self-similarity, meaning that small sections resemble the whole curve when viewed at different scales. One of the most striking features of the Lévy C curve is how a simple line gradually transforms into what looks like a crumpled ribbon while still remaining a continuous path. It has applications in mathematics, computer graphics, and procedural art, demonstrating how complex structures can emerge from repeated, straightforward operations. The curve is a beautiful example of how recursion and iteration can produce patterns that are both mathematically rich and visually captivating. #math #art #fractal #fractalart #visual

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Monday 20 July 2026 18:23:04 GMT