Tribute to Invariance
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|Cut the Knot!, Alexander Bogomolny|
|As a competitive activity, the Squares and Circles game is not very challenging in itself. That is to say, the outcome of the game does not depend on how the game proceeds. The challenge is to come up with this realization and establish its veracity. After the secret is revealed, its verification still provides an entertaining and purposeful exercise in counting much removed from the customary rote. 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/invariant.html.|
|Levels:||Elementary, Middle School (6-8), High School (9-12), College|
|Resource Types:||Problems/Puzzles, Articles, Web Interactive/Java|
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