Epicycloid  

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Kunstformen der Natur (1904) by Ernst Haeckel
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Kunstformen der Natur (1904) by Ernst Haeckel
Image:EpitrochoidOn3-generation.gif
The red curve is an epicycloid traced as the small circle (radius Template:Nowrap rolls around the outside of the large circle (radius Template:Nowrap.

In geometry, an epicycloid is a plane curve produced by tracing the path of a chosen point of a circle — called an epicycle — which rolls without slipping around a fixed circle. It is a particular kind of roulette.

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Unless indicated otherwise, the text in this article is either based on Wikipedia article "Epicycloid" or another language Wikipedia page thereof used under the terms of the GNU Free Documentation License; or on original research by Jahsonic and friends. See Art and Popular Culture's copyright notice.

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