Pearls of Sluze- MacTutor visualisation

I have taken an example from the MacTutor History of Mathematics, Famous curves index http://www-history.mcs.st-and.ac.uk/Curves/Pearls.html and I have reprezented it with GeoGebra. Please feel free to experiment with it! Advances in Geogebra - CEEPUS activity, Miskolc, 2015, May 21st.
The curves with the equation given above, where n, p and m are integers, were studied by de Sluze between 1657 and 1698. The name Pearls of Sluze was given to these curves by Blaise Pascal. The particular curves drawn above have n = 4, k = 2, a = 4, p = 3, m = 2.