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Fun with hypotrochoids!

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This draws curves by rolling one circle inside another. The moving circle can be bigger than the fixed circle. The rolling circle has a "pen" attached to it at a fixed distance. Click to change the parameters. The parameters can be seen graphically by using "Show Circles." A changed parameter will turn red until it is drawn. New drawings will overlay existing ones. Change parameters and overlay as much as you like. Clear sets to the background color and clears the traces. Toggling construction circles clears all but the current trace. Save by right-clicking. Reload the page to start over. Enjoy!