Rose (Mathematics)
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates. Up to similarity, these curves can all be expressed by a polar equation of the form !,r=cos(ktheta). If k is an integer, the curve will be rose shaped with 2k petals if k is even, and k petals if k is odd. When k is even, the entire graph of the rose will be traced out exactly once when the value of changes from 0 to 2 . When k is odd, this will happen on the interval between 0 and . ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates. Up to similarity, these curves can all be expressed by a polar equation of the form !,r=cos(ktheta). If k is an integer, the curve will be rose shaped with 2k petals if k is even, and k petals if k is odd. When k is even, the entire graph of the rose will be traced out exactly once when the value of changes from 0 to 2 . When k is odd, this will happen on the interval between 0 and . (More generally, this will happen on any interval of length 2 for k even, and for k odd.)
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