The radial curve of an epicycloid is shown above for an epicycloid with four cusps. Although it is claimed to be a rose curve by Lawrence (1972), it is not.
Epicycloid Radial Curve
See also
Epicycloid, Radial Curve, Rose CurveExplore with Wolfram|Alpha
References
Lawrence, J. D. A Catalog of Special Plane Curves. New York: Dover, p. 202, 1972.Referenced on Wolfram|Alpha
Epicycloid Radial CurveCite this as:
Weisstein, Eric W. "Epicycloid Radial Curve." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EpicycloidRadialCurve.html