迷宫,也称为 labyrinth,是一组通道(带有不可渗透的墙壁)。迷宫的目标是从一个给定的点开始,找到一条穿过通道到达第二个给定点的路径。
上面展示的是希腊皮洛斯出土的泥土会计板的背面(Wolfram 2002,p. 43)。传说它是克里特岛克诺索斯宫殿中牛头怪住所迷宫的平面图,由代达罗斯设计。也有人说它是特洛伊城的标志 - 或者可能是其部分城墙的平面图(Wolfram 2002,p. 873)。
上述图案(无论是方形还是圆形)以非常小的变化出现在世界各地的许多地方 - 从克里特岛的硬币,到庞贝城的涂鸦,到沙特尔大教堂的地板,到秘鲁的雕刻,到土著部落的标志。可能在三千年的时间里,它一直是迷宫最常用的单一设计(Wolfram 2003,p. 873)。
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参考文献
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. 43 和 873, 2002.在 Wolfram|Alpha 中引用
迷宫
引用为
Weisstein, Eric W. “迷宫。” 来自 MathWorld-- Wolfram Web 资源。 https://mathworld.net.cn/Maze.html
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