Nine MenE28099s Morris

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[ Game of Nine Men’s Morris [1] Nine Men’s Morris,

a two-player zero-sum and perfect information abstract strategy board game.

Computer Olympiad

• 3rd Computer Olympiad, Maastricht 1991

It’s a Draw#

In 1993, Ralph Gasser at ETH Zurich solved the Game by Retrograde Analysis for all mid- and endgame positions, and an 18 Ply deep Alpha-Beta Search for the opening phase then found the value of the initial position [2] [3] .

Photos#

[ Nine Men’s Morris field from the Middle Ages [4], Teufelsstein, Haßberge Hills, Germany [5]

Publications#

• Ralph Gasser (1991). Applying Retrograde Analysis to Nine Men’s Morris. Heuristic Programming in AI 2
• Martin Riedmiller, Heinrich Braun (1993). A direct adaptive method for faster backpropagation learning: The RPROP algorithm. IEEE International Conference On Neural Networks, pdf
• Ralph Gasser (1993). Nine Men’s Morris is a DRAW Dept. Informatik, Swiss Federal Institute of Technology (ETH)
• Ralph Gasser, Jürg Nievergelt (1994). Es ist entschieden: Das Mühlespiel ist unentschieden. Overflow. Informatik Spektrum, Vol. 17, No. 5 (German)
• Thomas Lincke (1994). Perfect Play using Nine Men’s Morris as an example. (Diploma thesis) ETH Zurich, ps
• Ralph Gasser (1996). Solving Nine Men’s Morris. Games of No Chance edited by Richard J. Nowakowski, pdf
• Friedrich Berger (2004). From circle and square to the image of the world: a possible interpretation for some petroglyphs of merels boards. Rock Art Research 21 (1), pdf 1, pdf 2

Forum Posts#

• Nine Men’s Morris is a DRAW by Ralph Gasser, rec.games.chess, rec.games.go, rec.games.abstract, November 23, 1993
• Nine Men’s Morris is a DRAW by Ralph Gasser and reply by Paul Colley from rec.games.chess, rec.games.go, rec.games.abstract, November 23, 1993

External Links#

• Nine Men’s Morris from Wikipedia
• Row Games: Mill - Morris - Mérelles - Morels - Mühle - Mølle from Elliott Avedon Virtual Museum of Games, University of Waterloo
• nine men’s morris from GamesCrafters
• Nine Men’s Morris (ICGA Tournaments)
• Nine Mens Morris Web Game
• Nine Men’s Morris AI Compo by Gary Linscott
• Das uralte Mühlespiel ist gelöst - Mühle Datenbank by Peter Stahlhacke [6] (German)
• Zwickmühle (Mühlespiel) from Wikipedia.de (German)
• WMD - Weltmühlespiel Dachverband (German)
• Willkommen beim Mühlespielverein Bern (German)

References#

1. ↑ Nine Men’s Morris from Wikipedia
2. ↑ Nine Men’s Morris is a DRAW by Ralph Gasser, rec.games.chess, rec.games.go, rec.games.abstract, November 23, 1993
3. ↑ Ralph Gasser (1993). Nine Men’s Morris is a DRAW Dept. Informatik, Swiss Federal Institute of Technology (ETH)
4. ↑ Not the Stone Age!
5. ↑ Mühle (Spiel) from Wikipedia.de (German)
6. ↑ CeBIT 2007 by Ingo Althöfer

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