is a game based on the Party Puzzle - a special case of Ramsey theory - written in Java. It's called HEXI because the game board is a hexagon whose vertices represent the six people in the party.

Bidan ZHU, Andreas BEER, Carlos CHAVEZ and Wolfgang SLANY

Game: Sim Zillions of Games

<http://www.dbai.tuwien.ac.at/proj/ramsey/intro.htm>

What is a combinatorial game?

AMS (Standard) Nim, Slither, Sylver Coinage, Subtract, Neutral Hackenbush

Combinatorial Games (Part II): Different Moves for Left and Right Hex, which was invented by John Nash, Hackenbush,

<http://www.ams.org/new-in-math/cover/games2.html>

Hex Strategy

Abstract Games Issue 2 Summer 2000

Hex is an abstract board game that has fascinated mathematicians with its beauty and surprising difficulty since it was first invented over half a century ago. It is a seminal game that has inspired many variants over the years, some of which have achieved greater fame than Hex itself.

Sleeping beauty

<http://www.abstractgamesmagazine.com/hex.html>

Logic and Games

Stanford Encyclopedia of Philosophy

<http://plato.stanford.edu/entries/logic-games/>

Dawson's Chess(JavaScript)

Thomas S. Ferguson

<http://www.math.ucla.edu/~tom/Games/dawson.html>

PAGES PERSONNELLES - HOME PAGES

Elwyn Berlekamp

<http://math.berkeley.edu/~berlek/>

PROBLÈMES - PROBLEMS

Problem of the Month (November 2000)

This month we explore some variants of NIM. For each game, what are some winning positions?

End NIM, Adjacent NIM, Veto NIM, Double NIM, Large NIM, Small NIM, Cyclic NIM, Last NIM, Non-Last NIM, Misere NIM, Bounded NIM, Fibonacci NIM

<http://www.stetson.edu/~efriedma/mathmagic/1100.html>

Unsolved Problems in Combinatorial Games

by Richard Guy

<http://www.gac.edu/~wolfe/papers-games/rkg.ps>

EXEMPLES - EXAMPLES

Nim en Prolog

Miroslav Spousta

Deux fichiers moves.pl et nim.pl. Commencer par lancer swi-prolog en faisant : pl -s nim.pl Une fois lancÃ©, taper nim. ensuite, Ã l'invite, charger moves.pl

Instructions plus dÃ©taillÃ©es sur la page

<http://atrey.karlin.mff.cuni.cz/~qiq/mff/pl/nim-doc.html>

LOGICIELS - SOFTWARES

A Nimstring Calculator

Freddy Y.C. Mang Abstract interpretation of game properties

<http://www-cad.eecs.berkeley.edu/~fmang/nimstring/nim_in.html>

Dabble

Dabble is a computer program that uses alpha-beta search to play dots and boxes. Its understanding of the game is minimal; it knows about chains and double-crosses but nothing else.

J.P. Grossman

<http://www.ai.mit.edu/~jpg/dabble/>

JAVA

JAVA JIVE

Martin J. Chlond

Nim, Coin Play, Kayles, Northcott, CGT Chess

<http://www.chlond.demon.co.uk/JavaJive.html>

Northcott's game

Alexander Bogomolny

Games and Puzzles

<http://www.cut-the-knot.com/recurrence/Northcott.shtml>

SUJETS - SUBJECTS

The Hot Game of Nim

Alexander Bogomolny

<http://www.maa.org/editorial/knot/May2001.html>

DOCUMENTS - PAPERS

Publications of Martin MÃ¼ller

<http://www.cs.ualberta.ca/~mmueller/publications.html>

TRAVAUX D'ÉLÈVES

les jeux de Nim

<http://membres.lycos.fr/antoinetav/articles.html>

Le jeu de Nim

"MATh.en.JEANS" au Palais de la DÃ©couverte 1992 par Jean-NoÃ«l ClÃ©ment et Bruno Racon du LycÃ©e Val de Seine de Grand Quevilly

<http://www.mjc-andre.org/pages/amej/edition/actes/actespdf/92131132.pdf>

TUTORIELS - TUTORIALS - TUTORS

Gagner au Jeu de Nim

Congres MATh.en.JEANS a Ecole Polytechnique, April 23--26, 1993, Palaiseau, France, editors: Audin, Duchet, Payan, Soismier, and Veillet, (1994) 105--108.

<http://dept-info.labri.u-bordeaux.fr/~loeb/nim/a.html>

TCA 101 Jeu de Fibonacci

<http://dept-info.labri.fr/~betrema/deug/tca101/jeu.html>

HISTORIQUES - HISTORY

Willem Abraham Wythoff

1865-1939 number-theorist

<http://faculty.evansville.edu/ck6/bstud/wythoff.html>

JEUX - GAMES

Nimbi

<http://www.zillions-of-games.com/games/nimbi.html>

RÉFÉRENCES - BIBLIOGRAPHIES

combinatorial Games :

Selected bibliography With A Succinct Gourmet Introduction. Aviesry S. Fraenkel

<http://www.ras.ru/EMIS/journals/EJC/Surveys/ds2.ps>

LIENS - LINKS

Page de liens sur les jeux

<http://perso.wanadoo.fr/jean-paul.davalan/liens/liens_games.html>

Abstract Games Magazine links

<http://www.abstractgamesmagazine.com/links.html>

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Copyright © 1999-2012 Jean-Paul Davalan - Reproduction interdite.