From Lewis Carroll to Archimedes
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Cut the Knot!, Alexander Bogomolny  
On March 29, 1879, Vanity Fair began offering its subscribers a new weekly puzzle invented by Lewis Carroll... on March 17, 1953 Frank Gray, a research scientist at Bell Labs, filed patent no. 2632058, for the Gray code encoding the vacuum tube. An ndigit (binary) Gray code is a sequence of strings of n symbols 0 and 1 such that any two consecutive strings differ only in a single position. Compare this to representations of 7 (0111) and 8 (1000) in the binary positional system that differ in all 4 positions... 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:  Elementary, Middle School (68), High School (912) 
Languages:  English 
Resource Types:  Problems/Puzzles, Articles, Web Interactive/Java 
Math Topics:  Logarithms, Number Sense/About Numbers, Triangles and Other Polygons, Number Theory, Sequences and Sets 
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