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© Copyright 2003, Jim Loy
Ellipse #9 shows a spirograph (one circle rolling inside another) with a period of two. Here we see two spirographs with periods of three. The first has a radius of 1/3, the second has a radius of 2/3. The curve that touches the larger circle at three points is the same in both spirographs, and is called a hypocycloid. The center of the smaller circle traces a circle in both spirographs.
The above Java animation was created with Cinderella (a geometry program).
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