Tour Puzzle
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Tour Puzzle
A tour puzzle is a puzzle in which the player travels around a board (usually but not necessarily two-dimensional) using a token which represents a character. Maze puzzles are often of this type. Sometimes the player has more than one token with which to travel. Sometimes certain objects have to be found or retrieved on the way. In the case of large hedge mazes, the player makes the trip themselves instead of a token. Often there is a given start and finish position for the player's token. Some tour puzzles demand that certain points on the board have to be visited on the way. Examples of tour puzzles * knight's tour * mazes and labyrinth In Greek mythology, the Labyrinth (, ) was an elaborate, confusing structure designed and built by the legendary artificer Daedalus for King Minos of Crete at Knossos. Its function was to hold the Minotaur, the monster eventually killed by ...s * mizmazes * logic mazes * Hiroimono References {{DEFAULTSORT:Tour Puzzle Puzzles< ...
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Puzzle
A puzzle is a game, Problem solving, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, the solver is expected to put pieces together (Disentanglement puzzle, or take them apart) in a logical way, in order to arrive at the correct or fun solution of the puzzle. There are different genres of puzzles, such as crossword puzzles, word-search puzzles, number puzzles, relational puzzles, and logic puzzles. The academic study of puzzles is called enigmatology. Puzzles are often created to be a form of entertainment but they can also arise from serious Mathematical problem, mathematical or logical problems. In such cases, their solution may be a significant contribution to mathematical research. Etymology The ''Oxford English Dictionary'' dates the word ''puzzle'' (as a verb) to the end of the 16th century. Its earliest use documented in the ''OED'' was in a book titled ''The Voyage of Robert Dudley (explorer), Robert Dudley...to the West Indies, 1594–95, narra ...
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Player (game)
Gameplay is the specific way in which players interact with a game, and in particular with video games. Gameplay is the pattern defined through the game rules, connection between player and the game, challenges and overcoming them, plot and player's connection with it. Video game gameplay is distinct from graphics and audio elements. In card games, the equivalent term is play. Overview Arising alongside video game development in the 1980s, the term ''gameplay'' was used solely within the context of video games, though now its popularity has begun to see use in the description of other, more traditional, game forms. Generally, gameplay is considered the overall experience of playing a video game, excluding factors like graphics and sound. Game mechanics, on the other hand, is the sets of rules in a game that are intended to produce an enjoyable gaming experience. Academic discussions tend to favor ''game mechanics'' specifically to avoid ''gameplay'' since the latter is too vagu ...
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Board Game
Board games are tabletop games that typically use . These pieces are moved or placed on a pre-marked board (playing surface) and often include elements of table, card, role-playing, and miniatures games as well. Many board games feature a competition between two or more players. To show a few examples: in checkers (British English name 'draughts'), a player wins by capturing all opposing pieces, while Eurogames often end with a calculation of final scores. '' Pandemic'' is a cooperative game where players all win or lose as a team, and peg solitaire is a puzzle for one person. There are many varieties of board games. Their representation of real-life situations can range from having no inherent theme, such as checkers, to having a specific theme and narrative, such as ''Cluedo''. Rules can range from the very simple, such as in snakes and ladders; to deeply complex, as in ''Advanced Squad Leader''. Play components now often include custom figures or shaped counters, and distin ...
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2D Geometric Model
A 2D geometric model is a geometric model of an object as a two-dimensional figure, usually on the Euclidean or Cartesian plane. Even though all material objects are three-dimensional, a 2D geometric model is often adequate for certain flat objects, such as paper cut-outs and machine parts made of sheet metal. Other examples include circles used as a model of thunderstorms, which can be considered flat when viewed from above. 2D geometric models are also convenient for describing certain types of artificial images, such as technical diagrams, logos, the glyphs of a font, etc. They are an essential tool of 2D computer graphics and often used as components of 3D geometric models, e.g. to describe the decals to be applied to a car model. Modern architecture practice "digital rendering" which is a technique used to form a perception of a 2-D geometric model as of a 3-D geometric model designed through descriptive geometry and computerized equipment. 2D geometric modeling techniques ...
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Maze
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. The term "labyrinth" is generally synonymous with "maze", but can also connote specifically a unicursal pattern. The pathways and walls in a maze are typically fixed, but puzzles in which the walls and paths can change during the game are also categorised as mazes or tour puzzles. Construction Mazes have been built with walls and rooms, with hedges, turf, corn stalks, straw bales, books, paving stones of contrasting colors or designs, and brick, or in fields of crops such as corn or, indeed, maize. Maize mazes can be very large; they are usually only kept for one growing season, so they can be different every year, and are promoted as seasonal tourist attractions. Indoors, mirror ma ...
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Hedge Maze
A hedge maze is an outdoor garden maze or labyrinth in which the "walls" or dividers between passages are made of vertical hedges. History Hedge mazes evolved from the knot gardens of Renaissance Europe, and were first constructed during the mid-16th century. These early mazes were very low, initially planted with evergreen herbs, but, over time, dwarf box became a more popular option due to its robustness. Italian architects had been sketching conceptual garden labyrinths as early as 1460, and hundreds of mazes were constructed in Europe between the 16th and 18th centuries. Initially, the hedge maze was not intended to confuse, but to provide a unicursal walking path. Puzzle-like hedge mazes featuring dead ends and tall hedges arrived in England during the reign of King William III of England. They were now part of the bosquet or wilderness part of the garden, and extended area of highly artificial formal woodland, with groups of trees enclosed by hedges. It was possible to ...
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Knight's Tour
A knight's tour is a sequence of moves of a knight on a chessboard such that the knight visits every square exactly once. If the knight ends on a square that is one knight's move from the beginning square (so that it could tour the board again immediately, following the same path), the tour is closed (or re-entrant); otherwise, it is open. The knight's tour problem is the mathematical problem of finding a knight's tour. Creating a program to find a knight's tour is a common problem given to computer science students. Variations of the knight's tour problem involve chessboards of different sizes than the usual , as well as irregular (non-rectangular) boards. Theory The knight's tour problem is an instance of the more general Hamiltonian path problem in graph theory. The problem of finding a closed knight's tour is similarly an instance of the Hamiltonian cycle problem. Unlike the general Hamiltonian path problem, the knight's tour problem can be solved in linear time. Histor ...
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Maze
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. The term "labyrinth" is generally synonymous with "maze", but can also connote specifically a unicursal pattern. The pathways and walls in a maze are typically fixed, but puzzles in which the walls and paths can change during the game are also categorised as mazes or tour puzzles. Construction Mazes have been built with walls and rooms, with hedges, turf, corn stalks, straw bales, books, paving stones of contrasting colors or designs, and brick, or in fields of crops such as corn or, indeed, maize. Maize mazes can be very large; they are usually only kept for one growing season, so they can be different every year, and are promoted as seasonal tourist attractions. Indoors, mirror ma ...
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Labyrinth
In Greek mythology, the Labyrinth (, ) was an elaborate, confusing structure designed and built by the legendary artificer Daedalus for King Minos of Crete at Knossos. Its function was to hold the Minotaur, the monster eventually killed by the hero Theseus. Daedalus had so cunningly made the Labyrinth that he could barely escape it after he built it. Although early Cretan coins occasionally exhibit branching (multicursal) patterns, the single-path (unicursal) seven-course "Classical" design without branching or dead ends became associated with the Labyrinth on coins as early as 430 BC, and similar non-branching patterns became widely used as visual representations of the Labyrinth – even though both logic and literary descriptions make it clear that the Minotaur was trapped in a complex branching maze. Even as the designs became more elaborate, visual depictions of the mythological Labyrinth from Roman times until the Renaissance are almost invariably unicursal. Branching ma ...
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Mizmaze
Mizmaze (or Miz-Maze or Miz Maze) is the name given to two of England's eight surviving historic turf mazes, and also to a third, presumably once similar site (at Leigh in Dorset) that is now merely a relic. Of the two which survive, one is at Breamore, in Hampshire; the other is on top of St Catherine's Hill, overlooking the city of Winchester, Hampshire. A mizmaze forms a pattern unlike conventional mazes and is classed as a labyrinth because the path has no junctions or crossings. The pattern appears more like a very long rope, neatly arranged to fill the area. Breamore Mizmaze The ''Breamore'' Mizmaze, set on a hill close to Breamore House, is a quartered labyrinth similar in design to the labyrinth at Chartres Cathedral. It is enclosed by a grove of yew trees; close to it is a Bronze Age barrow or burial mound. The Mizmaze itself is fenced which aids its conservation. In early 2010 a few surrounding trees were felled as water falling from overhanging branches was eroding ...
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Logic Maze
Logic mazes, sometimes called mazes with rules or multi-state mazes, are logic puzzles with all the aspects of a tour puzzle that fall outside of the scope of a typical maze. These mazes have special rules, sometimes including multiple states of the maze or navigator. A ruleset can be basic (such as "you cannot make left turns") or complex. Popular logic mazes include tilt mazes and other novel designs which usually increase the complexity of the maze, sometimes to the point that the maze has to be designed by a program to eliminate multiple paths. History Robert Abbott invented the logic maze. The first logic maze ever published, ''Traffic Maze in Floyd's Knob'', appeared in the October 1962 issue of ''Scientific American'' in the ''Mathematical Games'' column. Abbott 1997, pp. vii-ix Examples ''Theseus and the Minotaur Theseus and the Minotaur is a type of logic maze designed by Robert Abbott. In this maze, the player acts as Theseus, the king of Athens who is attemp ...
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Hiroimono
Goishi Hiroi, also known as Hiroimono, is a Japanese variant of peg solitaire. In it, pegs (or stones on a Go board) are arranged in a set pattern, and the player must pick up all the pegs or stones, one by one. In some variants, the choice of the first stone is fixed, while in others the player is free to choose the first stone. After the first stone, each stone that is removed must be taken from the next occupied position along a vertical or horizontal line from the previously-removed stone. Additionally, it is not possible to reverse direction along a line: each step from one position to the next must either continue in the same direction as the previous step, or turn at a right angle from the previous step. These puzzles were used for bar bets in 14th-century Japan, and a collection of them was published in a Japanese puzzle book from 1727. Determining whether a given puzzle can be solved is NP-complete. This can be proved either by a many-one reduction from 3-satisfiability, or ...
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