Solving Mazes
Maze solving is the act of finding a route through the maze from the start to finish. Some maze solving methods are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas others are designed to be used by a person or computer program that can see the whole maze at once.
The mathematician Leonhard Euler was one of the first to analyze plane mazes mathematically, and in doing so made the first significant contributions to the branch of mathematics known as topology.
Mazes containing no loops are known as "standard", or "perfect" mazes, and are equivalent to a tree in graph theory. Thus many maze solving algorithms are closely related to graph theory. Intuitively, if one pulled and stretched out the paths in the maze in the proper way, the result could be made to resemble a tree.
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Famous quotes containing the words solving and/or mazes:
“Science is a dynamic undertaking directed to lowering the degree of the empiricism involved in solving problems; or, if you prefer, science is a process of fabricating a web of interconnected concepts and conceptual schemes arising from experiments and observations and fruitful of further experiments and observations.”
—James Conant (1893–1978)
“Others apart sat on a Hill retir’d,
In thoughts more elevate, and reason’d high
Of Providence, Foreknowledge, Will, and Fate,
Fixt Fate, free will, foreknowledge absolute,
And found no end, in wandring mazes lost.
Of good and evil much they argu’d then,
Of happiness and final misery,
Passion and Apathie, and glory and shame,
Vain wisdom all, and false Philosophie:”
—John Milton (1608–1674)