


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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