Saturday, November 19, 2011

Rolling Regular Polygons around a Circle - (1) Polygonal Epicycloid

(n = 5, k = 3)


(n = 3, k = 5/2)


(n = 6, k = 3/2)


(n = 4, k = 1/2)



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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Posted by benice at 5:08 AM
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1 comment:

  1. Here is some simple and understanding definition of circle as-circle making is a easy task just draw a curve in response to a fix line from a central point and all points are the the same distance from the center.
    (x-a)2 + (y-b)2 = r2 is standard equation of a circle. where r is radius.

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