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A maze is a path or collection of paths, typically from an entrance to a goal. The word is used to refer both to branching tour puzzles through which the solver must find a route, and to simpler non-branching ("unicursal") patterns that lead unambiguously through a convoluted layout to a goal.
Robot in a wooden maze. A maze-solving algorithm is an automated method for solving a maze.The random mouse, wall follower, Pledge, and Trémaux's algorithms are designed to be used inside the maze by a traveler with no prior knowledge of the maze, whereas the dead-end filling and shortest path algorithms are designed to be used by a person or computer program that can see the whole maze at once.
Maze generation animation using a tessellation algorithm. This is a simple and fast way to generate a maze. [3] On each iteration, this algorithm creates a maze twice the size by copying itself 3 times. At the end of each iteration, 3 paths are opened between the 4 smaller mazes. The advantage of this method is that it is very fast.
In the mathematical field of graph theory, a Hamiltonian path (or traceable path) is a path in an undirected or directed graph that visits each vertex exactly once. A Hamiltonian cycle (or Hamiltonian circuit) is a cycle that visits each vertex exactly once. A Hamiltonian path that starts and ends at adjacent vertices can be completed by adding ...
Maze: Solve the World's Most Challenging Puzzle (1985, Henry Holt and Company) is a puzzle book written and illustrated by Christopher Manson. The book was originally published as part of a contest to win $10,000. Unlike other puzzle books, each page is involved in solving the book's riddle.
Ariadne's thread, named for the legend of Ariadne, is solving a problem which has multiple apparent ways to proceed—such as a physical maze, a logic puzzle, or an ethical dilemma—through an exhaustive application of logic to all available routes. It is the particular method used that is able to follow completely through to trace steps or ...
A style of pen-and-paper picture maze popularized by Japanese publisher Nikoli, known as ukidashi meiro or PictoMazes, involves solving a maze puzzle in the regular way, drawing a path from the entrance to exit of the puzzle, avoiding the dead ends. The shape of this shortest path - particularly if emphasized by coloring in the grid squares ...
The second, the path-drawing mode, is the one the player uses to attempt to solve puzzles. This mode is distinguished from the former by a white border around the screen. In path-drawing mode, the player's avatar is prevented from moving and instead allows the player to use their controls to trace the path through the puzzle's grid.
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