In mathematics, a rose is a sinusoid plotted in polar coordinates. Up to similarity,
One obtains a rose-like graph with 2k petals if k is even and k petals if k is odd. Using sine instead of cosine, and vice versa, the graphs differ by a rotation of 
radians—or that 
, and the graphs coincide.
More interesting results arise when k is a rational. If k is irrational, without bounds on 
, a disc results.
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