• 제목/요약/키워드: Blackout Puzzle

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Activity of a Gifted Student Who Found Linear Algebraic Solution of Blackout Puzzle

  • Lee, Sang-Gu;Park, Jong-Bin;Yang, Jeong-Mo
    • 한국수학교육학회지시리즈D:수학교육연구
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    • 제8권3호
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    • pp.215-226
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    • 2004
  • The purpose of this paper is to introduce an activity of student who found purely linear algebraic solution of the Blackout puzzle. It shows how we can help and work with gifted students. It deals with algorithm, mathematical modeling, optimal solution and software.

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$m{\times}n$ 크기의 일반적인 흑백 게임의 최적해와 타일링 (Analysis of optimal solutions and its tiling in $m{\times}n$ size Black-Out Game)

  • 김덕선;이상구
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제21권4호
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    • pp.597-612
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    • 2007
  • For finding the optimal strategy in Blackout game which was introduced in the homepage of popular movie "Beautiful mind", we have developed and generalized a mathematical proof and an algorithm with a couple of softwares. It did require only the concept of basis and knowledge of basic linear algebra. Mathematical modeling and analysis were given for the square matrix case in(Lee,2004) and we now generalize it to a generalized $m{\times}n$ Blackout game. New proof and algorithm will be given with a visualization.

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