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Example of a curve with its asymptote;shows that the curve may intersect the asymptote, in this case an infinite amount of times.

A similar curve is ${\displaystyle x=t+{\frac {\cos(14t)}{\sqrt {t}}},y=t+{\frac {\sin(14t)}{\sqrt {t}}},t>0}$. The "14" parameter is arbitrary: higher values will loop more tightly. Also, the square root of t can be replaced by any power of t for different effects.

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