A Thing In Common
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Cut the Knot!, Alexander Bogomolny  
Two applets, both of which use the Pythagorean theorem: a puzzle (Draw an {N/D} star polygon  a polygon whose N vertices are uniformly distributed on a circle, but each vertex is connected to its Dth neighbor. Regular polygons correspond to D = 1, and their symbol is usually abbreviated to {N}), and a demonstration of an optical illusion (a rotating square is occluded by four other squares that leave a crosslike opening to view the motion). 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.  


Levels:  High School (912), College 
Languages:  English 
Resource Types:  Problems/Puzzles, Articles, Web Interactive/Java 
Math Topics:  Triangles and Other Polygons 
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