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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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Atlanta, GA | Posted: April 9, 2002
John Conway, F.R.S., is the John von Neumann Professor of Mathematics at Princeton University. He is a masterful expositor of mathematics who is perhaps most widely known as the inventor of the Game of Life (popular screensaver and important example of a cellular automaton). Professor Conway is the author of numerous articles and books, including Winning Ways. He has received many prizes, including the Pólya Prize from the London Mathematical Society, the Nemmers Prize, and the Steele Prize from the American Mathematical Society.
How can you understand the shape of a knot, or prove that it really is knotted? What makes one knot different from another? I'll describe some ways in which elementary arithmetic can help. Although we're all familiar with knots, the theory of knots is a hard subject; it took more than a century before mathematicians were even able to find a guaranteed way to tell whether a string is knotted or not. However, some things are easy...