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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 \|/ 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/ -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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 -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- 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. -|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|-\-/-|- CHECK OUT OUR WEB SITE: The Math Forum http://mathforum.org/ Ask Dr. Math http://mathforum.org/dr.math/ Problems of the Week http://mathforum.org/pow/ Mathematics Library http://mathforum.org/library/ Math Tools http://mathforum.org/mathtools/ Teacher2Teacher http://mathforum.org/t2t/ Discussion Groups http://mathforum.org/discussions/ Join the Math Forum http://mathforum.org/join.forum.html Send comments to the Math Forum Internet Newsletter editors Donations http://deptapp.drexel.edu/ia/GOL/giftsonline1_MF.asp _o \o_ __| \ / |__ o _ o/ \o/ __|- __/ \__/o \o | o/ o/__/ /\ /| | \ \ / \ / \ /o\ / \ / \ / | / \ / \ |

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