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|Cut the Knot!, Alexander Bogomolny|
|As C++ can be a must for engineering students, Java is fast becoming an indispensable tool for future math teachers. The applet provided in this article draws two families of curves: hypocycloids (curves traced by boundary points of a circle rolling without slipping on the inside of another circle), and hypocycloids (a more general family of curves - hypotrochoids - traced by points not necessarily on the circumference of the rolling circle. An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/ctk/cwru.html.|
|Levels:||High School (9-12), College|
|Resource Types:||Problems/Puzzles, Articles, Web Interactive/Java|
|Math Topics:||Conic Sections and Circles|
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