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how can i draw a "rose curve"

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Convert from polar to Cartesian coordinates as follows:

x = r cos t
y = r sin t

In the case r = cos 2t, you''ll have

x = cos 2t cos t
y = cos 2t sin t

Start with t=0, and just increment by some small step to t=pi, t=2*pi, or however far you want to go, and connect the dots.

-- Eric Lengyel

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