• Title/Summary/Keyword: blackout game

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Developing a Material Topic and some Questions with Blackout Game for the Mathematically Gifted Students'' R&E (흑백게임을 활용한 수학영재들의 R&E 연구 소재 개발)

  • Song, Chang-Woo;Song, Yeong-Moo
    • School Mathematics
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    • v.12 no.3
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    • pp.337-351
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    • 2010
  • Blackout game on a certain size of the Go table, which looks simple, involves a variety of mathematical modeling. This study uses a research and education method. While the mathematically gifted students were playing blackout game, the author, as the instructor, observed the ways in which they approached various mathematical models. Based on the data, this study examines the effects of blackout game on the children's cognitive processes. This study further discusses the issues of questions.

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

  • Kim, Duk-Sun;Lee, Sang-Gu
    • Communications of Mathematical Education
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    • v.21 no.4
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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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Linear algebra algorithm for the optimal solution in the Blackout game (바둑판을 이용한 흑백 게임의 최적해를 구하는 선형대수학 알고리즘)

  • 이상구;박종빈;양정모;김익표
    • The Mathematical Education
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    • v.43 no.1
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    • pp.87-96
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    • 2004
  • For finding the optimal strategy in Blackout game which was introduced in the homepage of popular mono "Beautiful mind", we develope a mathematical proof and an algorithm with a software. We only use the concept of basis and knowledge of basic linear algebra. This process can be extended to the fullsize Go table problem and shows why we have to study mathematics at the college level.

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History of mathematical modeling on the Black-Out Game (흑백게임의 역사와 수학적 모델링)

  • Kim, Duk-Sun;Ryu, Chang-Woo;Song, Yeong-Moo;Lee, Sang-Gu
    • Journal for History of Mathematics
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    • v.22 no.1
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    • pp.53-74
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    • 2009
  • Black-out Game(Lightout, Merlin Game, ${\sigma}$+Game) is an interesting game on the chessboard, when you click a button with black or white color, it changes color of itself and other buttons who shares edges. With this rule, we win the game when we have a chessboard with all same color after we click some of the buttons of it. Pretty much of research has been made on founding the winnable strategy for this type of game. In this paper, we first introduce a history of mathematical modeling on this game. Then we develop an algorithm to offer a winnable blackout game of any size. Our tools also show our new algorithm works. Finally, we show how we can use this game in mathematics education.

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Flight Simulation based on Blackout and Redout (블랙아웃과 레드아웃을 적용한 비행 시뮬레이션)

  • Yu, Ki-Youp;Song, Chang-Woo;Chung, Kyung-Yong;Kim, Sung-Ho
    • Proceedings of the Korea Contents Association Conference
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    • 2009.05a
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    • pp.953-957
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    • 2009
  • The flight simulation the fact that imitates the real situation of flight for the training or boarding experience which manages a same flight equipment with the aircraft in goal. The flight simulation of existing attached importance in the research and development which is limited in the control which is visible and physical relate with the management of the airplane directly. So, the flight simulation applied in various game or simulator etc. But, there were not researches which are actual applies in flight simulation with considers the physiological phenomenon of pilot. Therefore this paper tries the flight simulation which assumes the physiological phenomenon as the blackout and a redout of pilot. In conclusion, predicts a future.

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