The inversion of a polar curve $r(t)$ in the unit circle is given by $1/r(t)$.
A rose is a polar curve defined (up to similarity) by an equation of the form:
$r(t) = \cos(nt)$ or $r(t) = \cos(\frac{p}{q}\cdot t)$
Does the inversion of a rose curve have a name?
eg. $r(t)=1/\cos(2 t)$.