Math Forum Internet News

Volume 8, Number 19

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12 May 2003                                       Vol. 8, No. 19

                  THE MATH FORUM INTERNET NEWS

      Combinatorial Games - AMS | DataStreme Atmosphere
                   Virtual Paper Cut & Fold


                      COMBINATORIAL GAMES

   From a mathematical perspective, games aren't just for
   recreation. The analysis of combinatorial games often draws
   on many different parts of mathematics, ranging from
   analysis to knot theory to graph theory. Joseph Malkevitch,
   York College (CUNY), has written a two-part article on
   combinatorial games featured in the American Mathematical
   Society's "Mathematics Feature Column Archive."

   Part I: The World of Piles of Stones
   http://www.ams.org/new-in-math/cover/games1.html

     1. Introduction
     2. What is a combinatorial game?
     3. Finding the winner of a game
     4. Solving Nim
     5. Towards a theory for combinatorial games
     6. Towards the surreal
     7. References

   Part II: Different Moves for Left and Right
   http://www.ams.org/new-in-math/cover/partizan1.html

     1. Introduction
     2. Hex
     3. Hackenbush
     4. Counting and sets
     5. Surreal numbers
     6. Surreal numbers and games
     7. References

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   Play some of the games online with these Java applets:

   Nim, from Cut-the-Knot, by Alexander Bogomolny
        http://www.cut-the-knot.org/nim_st.shtml

   Hex, from The University of Alberta Games Group
        http://games.cs.ualberta.ca/webgames/hex/

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     DATASTREME ATMOSPHERE - American Meteorological Society

                http://www.ametsoc.org/dstreme/

   DataStreme Atmosphere is a major precollege teacher
   enhancement initiative of the American Meteorological
   Society (AMS). Its main goal is the training of Weather
   Education Resource Teachers who will promote the teaching of
   science, mathematics and technology using weather as a
   vehicle.

   Resources on the site:
     - Learning Files
     - Surface
     - Radar
     - Satellite
     - Upper Air
     - Watches, Warnings, Advisories and Forecasts
     - Extras

   A 13-week course is offered twice a year to selected
   participants. It focuses on the study of the atmospheric
   environment through the use of electronically transmitted
   weather data and learning materials combined with Study
   Guide readings and investigations.

      http://www.ametsoc.org/dstreme/extras/dsinfo.html

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             VIRTUAL PAPER CUT & FOLD - Mike Sokolov

               http://www.ifactory.com/cutfold/

   Learn how to make snowflake patterns and create a
   five-pointed star. The interactive site offers both a Flash
   tool and a faster, more fully-featured Java applet that
   allows you to save the snowflakes to a gallery.

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