Morpion solitaire 5D: A new upper bound of 121 on the maximum score

Akitoshi Kawamura, Takuma Okamoto, Yuichi Tatsu, Yushi Uno, Masahide Yamato

研究成果: Contribution to conferencePaper査読

2 被引用数 (Scopus)

抄録

Morpion Solitaire is a pencil-and-paper game for a single player. A move in this game consists of putting a cross at a lattice point and then drawing a line segment that passes through exactly five consecutive crosses. The objective is to make as many moves as possible, starting from a standard initial configuration of crosses. For one of the variants of this game, called 5D, we prove an upper bound of 121 on the number of moves. This is done by introducing line-based analysis, and improves the known upper bound of 138 obtained by potentialbased analysis.

本文言語英語
ページ25-29
ページ数5
出版ステータス出版済み - 2013
外部発表はい
イベント25th Canadian Conference on Computational Geometry, CCCG 2013 - Waterloo, カナダ
継続期間: 8 8 20138 10 2013

その他

その他25th Canadian Conference on Computational Geometry, CCCG 2013
Countryカナダ
CityWaterloo
Period8/8/138/10/13

All Science Journal Classification (ASJC) codes

  • Geometry and Topology
  • Computational Mathematics

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