Lemniscates are special types of curves that resemble the shape of a figure-eight or an infinity symbol. They can be represented in polar coordinates, where their equations typically involve trigonometric functions and produce fascinating symmetric patterns that are visually captivating. The most famous lemniscate is the Lemniscate of Bernoulli, which is defined by a specific polar equation and has significant implications in various branches of mathematics, including calculus and complex analysis.
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