Maze-solving algorithm: Difference between revisions

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Trémaux's algorithm: rewrite case to work correctly for the start config
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Trémaux's algorithm: Changed diagram to one that follows algorithm more clearly (the markings at the intersection are clearer and there is no continuous path)
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== Trémaux's algorithm ==
[[File:Tremaux Maze tremauxSolving Algorithm.gif|thumb| Trémaux's algorithm. BlueGreen linedot segmentsis showtrying marksto onget from the pathstop-left ofto the maze;bottom-right. redDots dotsand showcrosses junctionsare ormarked deadon endsthe withroutes atfollowing leastthe onealgorithm. markedOnce pathdone, the route is traced through the single dots.]]
Trémaux's algorithm, invented by [[Charles Pierre Trémaux]],<ref>Public conference, December 2, 2010 – by professor [[Jean Pelletier-Thibert]] in Academie de Macon (Burgundy – France) – (Abstract published in the Annals academic, March 2011 – {{ISSN|0980-6032}}) <br/>Charles Tremaux (° 1859 – † 1882) Ecole Polytechnique of Paris (X:1876), French engineer of the telegraph</ref> is an efficient method to find the way out of a maze that requires drawing lines on the floor to mark a path, and is guaranteed to work for all mazes that have well-defined passages.<ref name="Récréations Mathématiques">Édouard Lucas: ''Récréations Mathématiques'' Volume I, 1882.</ref>
A path from a junction is either unvisited, marked once or marked twice. The algorithm works according to the following rules: