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迷宮


迷宮,也稱為 labyrinth,是一組通道(帶有不可滲透的牆壁)。迷宮的目標是從一個給定的點開始,找到一條穿過通道到達第二個給定點的路徑。

Pylos maze

上面展示的是希臘皮洛斯出土的泥土會計板的背面(Wolfram 2002,p. 43)。傳說它是克里特島克諾索斯宮殿中牛頭怪住所迷宮的平面圖,由代達羅斯設計。也有人說它是特洛伊城的標誌 - 或者可能是其部分城牆的平面圖(Wolfram 2002,p. 873)。

Maze

上述圖案(無論是方形還是圓形)以非常小的變化出現在世界各地的許多地方 - 從克里特島的硬幣,到龐貝城的塗鴉,到沙特爾大教堂的地板,到秘魯的雕刻,到土著部落的標誌。可能在三千年的時間裡,它一直是迷宮最常用的單一設計(Wolfram 2003,p. 873)。


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參考文獻

Bellman, R.; Cooke, K. L.; 和 Lockett, J. A. Algorithms, Graphs, and Computers. New York: Academic Press, pp. 94-100, 1970.Dantzig, G. B. "All Shortest Routes in a Graph." Operations Res. Techn. Rep. 66-3. Stanford, CA: Stanford University, pp. 346-365, Sept. 1961.Gardner, M. "Mazes." Ch. 10 in The Second Scientific American Book of Mathematical Puzzles & Diversions: A New Selection. New York: Simon and Schuster, pp. 112-118, 1961.Gardner, M. "Three-Dimensional Maze." §6.3 in The Sixth Book of Mathematical Games from Scientific American. Chicago, IL: University of Chicago Press, pp. 49-50, 1984.Hu, T. C. 和 Torres, W. T. "Shortcut in the Decomposition Algorithm for Shortest Paths in a Network." IBM J. Res. Devel. 13, 387-390, Jul. 1969.Jablan, S. "Roman Mazes." http://members.tripod.com/~modularity/mazes.htm.Lee, C. Y. "An Algorithm for Path Connections and Its Applications." IRE Trans. Elec. Comput. EC-10, 346-365, 1961.Matthews, W. H. Mazes and Labyrinths: Their History and Development. New York: Dover, 1970.Moore, E. F. "The Shortest Path through a Maze." Ann. Comput. Lab. Harvard University 30, 285-292, 1959.Pappas, T. "Mazes." The Joy of Mathematics. San Carlos, CA: Wide World Publ./Tetra, pp. 192-194, 1989.Pegg, E. Jr. "Math Games: Multi-State Mazes." Nov. 14, 2003. http://www.maa.org/editorial/mathgames/mathgames_11_24_03.html.Phillips, A. "The Topology of Roman Mazes." Leonardo 25, 321-329, 1992.Shepard, W. Mazes and Labyrinths: A Book of Puzzles. New York: Dover, 1961.Weisstein, E. W. "Books about Mazes." http://www.ericweisstein.com/encyclopedias/books/Mazes.html.Wolfram, S. A New Kind of Science. Champaign, IL: Wolfram Media, pp. 43873, 2002.

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迷宮

引用為

Weisstein, Eric W. “迷宮。” 來自 -- 資源。 https://mathworld.tw/Maze.html

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