(n = 5, k = 3)
(n = 3, k = 5/2)
(n = 6, k = 3/2)
(n = 4, k = 1/2)
![](http://4.bp.blogspot.com/-wznXEqCVSKs/TsemZeWNeRI/AAAAAAAAAVA/6C2dvMGsDWE/s1600/polygonal_epicycloid_k_eq.png)
n = the number of sides of the rolling polygon
a = the radius of the base circle
r = the circumradius of the polygon
(n = 3, k = 12/5)
( Mathematical software used: GeoGebra )
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