EPICYC
Quick Basic Program

From each of 120 points on a guide circle, a line is drawn to the point (n+1) times further along the guide circle.   The envelope formed by all of these lines is an epicycloid of   n cusps.   This program is a crude implementation of the algorithm presented by David Crawford in the article “Curves from Straight Lines”, in “SYMmetry plus”, #15, Summer 2001 (Mathematical Association), page 10.

Sample output

1 cusp: cardioid   2 cusps: nephroid
3 cusps: epicycloid of Cremona   4 cusps
5 cusps


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Created 2001 08 17 and modified 2001 08 17 by
Dr. G.H. George