Epispiral
Encyclopedia
The epispiral is a plane curve
Plane curve
In mathematics, a plane curve is a curve in a Euclidean plane . The most frequently studied cases are smooth plane curves , and algebraic plane curves....

 with polar equation.
There are n sections if n is odd and 2n if n is even.

It is the polar or circle inversion of the rose
Rose (mathematics)
In mathematics, a rose or rhodonea curve is a sinusoid plotted in polar coordinates. Up to similarity, thesecurves can all be expressed by a polar equation of the form\!\,r=\cos.If k is an integer, the curve will be rose shaped with...

curve.
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