Maze

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Obludiste - hedge maze Czech republic Maze bludiste.jpg
Obludiste - hedge maze Czech republic

A hedge maze at Longleat stately home in England Longleat maze.jpg
A hedge maze at Longleat stately home in England

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. [1] 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.

Contents

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, [2] 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.[ citation needed ]

Indoors, mirror mazes are another form of maze, in which many of the apparent pathways are imaginary routes seen through multiple reflections in mirrors. Another type of maze consists of a set of rooms linked by doors (so a passageway is just another room in this definition). Players enter at one spot, and exit at another, or the idea may be to reach a certain spot in the maze. Mazes can also be printed or drawn on paper to be followed by a pencil or fingertip. Mazes can also be built with snow.[ citation needed ]

A small maze with one entrance and one exit. Maze simple.svg
A small maze with one entrance and one exit.

Generation

Maze generation is the act of designing the layout of passages and walls within a maze. There are many different approaches to generating mazes, with various maze generation algorithms for building them, either by hand or automatically by computer.

There are two main mechanisms used to generate mazes. In "carving passages", one marks out the network of available routes. In building a maze by "adding walls", one lays out a set of obstructions within an open area.

Solution

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.[ citation needed ]

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. [3]

Psychology experiments

Mazes are often used in psychology experiments to study spatial navigation and learning. Such experiments typically use rats or mice. Examples are:

Types

A fractal maze (top) with 3 iterations (left) and a solution (right) Wolfram fractal maze.svg
A fractal maze (top) with 3 iterations (left) and a solution (right)
Ball-in-a-maze puzzles
Dexterity puzzles which involve navigating a ball through a maze or labyrinth.
Fractal maze
A maze containing holes inside which the maze is indefinitely repeated at a smaller scale. [4]
Hamilton maze
A maze in which the goal is to find the unique Hamiltonian cycle. [5] [6]
Logic mazes
These are like standard mazes except they use rules other than "don't cross the lines" to restrict motion.
Picture maze
A standard maze that forms a picture when solved.
Turf mazes and mizmazes
A pattern like a long rope folded up, without any junctions or crossings.

Public attractions

Asia

Dubai

India

Japan

Pacific

New Zealand

Europe

Austria

Belgium

Czech Republic

Denmark

Germany

Greece

Italy

Netherlands

Portugal

Spain

United Kingdom

Traquair House Maze, Scotland Traquair House Maze.jpg
Traquair House Maze, Scotland

North America

Public maze at Wild Adventures theme park, Valdosta, Georgia, United States. It was removed before the 2010 season. MysteryMaze.jpg
Public maze at Wild Adventures theme park, Valdosta, Georgia, United States. It was removed before the 2010 season.
Maze at Missouri Botanical Garden in St. Louis Hedge Maze, St Louis Botanical Gardens (St Louis, Missouri - June 2003).jpg
Maze at Missouri Botanical Garden in St. Louis

Canada

  • In 2012, the Kraay Family Farm in Alberta, Canada created the world's largest QR code in the form of a massive corn maze, popularly known as The Edmonton Corn Maze. [47] [48]

United States

South Africa

Chartwell Castle in Johannesburg claims to have the biggest known uninterrupted hedgerow maze in the Southern world, with over 900 conifers. It covers about 6000 sq.m. (approximately 1.5 acres), which is around 5 times bigger than The Hampton Court Maze. The center is about 12m × 12m. The maze was designed and laid out by Conrad Penny. [53]

Caribbean

Cuba

The colonial city of Camagüey, Cuba, founded in 1528, layout resembles a real maze, with narrow, short streets always turning in one direction or another. After pirate Henry Morgan burned the city in the 17th century, it was designed like a maze so attackers would find it hard to move around inside the city. It is a UNESCO World Heritage Site.

South America

Brazil

  • Labirinto Verde, [54] Nova Petrópolis, (Circular hedge maze built in 1989; Latitude 29°22'32.71"S Longitude 51°06'43.68"W)

Television

The Shining

See also

Related Research Articles

<span class="mw-page-title-main">Labyrinth</span> Elaborate, confusing structure in Greek mythology

In Greek mythology, the Labyrinth was an elaborate, confusing structure designed and built by the legendary artificer Daedalus for King Minos of Crete at the 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.

<span class="mw-page-title-main">Topiary</span> Horticulture practice to shape trees and shrubs

Topiary is the horticultural practice of training perennial plants by clipping the foliage and twigs of trees, shrubs and subshrubs to develop and maintain clearly defined shapes, whether geometric or fanciful. The term also refers to plants which have been shaped in this way. As an art form it is a type of living sculpture. The word derives from the Latin word for an ornamental landscape gardener, topiarius, a creator of topia or "places", a Greek word that Romans also applied to fictive indoor landscapes executed in fresco.

<span class="mw-page-title-main">Hampton Court Maze</span> A hedge maze at Hampton Court Palace

Hampton Court Maze is a hedge maze at Hampton Court Palace and the oldest surviving hedge maze in Britain.

<span class="mw-page-title-main">Longleat</span> Stately home in Wiltshire, England

Longleat is a stately home about 4 miles (7 km) west of Warminster in Wiltshire, England. A leading and early example of the Elizabethan prodigy house, it is a Grade I listed building and the seat of the Marquesses of Bath.

Adrian Fisher is a British pioneer, inventor, designer and creator of mazes, puzzles, public art, tessellations, tilings, patterns and networks of many kinds. He is responsible for more than 700 mazes in 42 countries since 1979.

<span class="mw-page-title-main">Turf maze</span> Labyrinth made by cutting a path into turf

Historically, a turf maze is a labyrinth made by cutting a convoluted path into a level area of short grass, turf or lawn. Some had names such as Mizmaze, Troy Town, The Walls of Troy, Julian's Bower, or Shepherd's Race. This is the type of maze referred to by William Shakespeare in A Midsummer Night's Dream when Titania says:

<span class="mw-page-title-main">Mizmaze</span>

Mizmaze is the name given to two of England's eight surviving historic turf mazes, and also to a third, presumably once similar site 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.

<span class="mw-page-title-main">Matthaei Botanical Gardens</span> Botanical garden

The University of Michigan Matthaei Botanical Gardens includes botanical gardens, natural areas with trails, and several research-quality habitats and is part of the organization Matthaei Botanical Gardens and Nichols Arboretum. It was established in 1907.

<span class="mw-page-title-main">Picture maze</span>

A picture maze is a maze puzzle designed to resemble something visually, or one where the solution traces out a particular picture.

Gilbert Randoll Coate was a British diplomat, maze designer and "labyrinthologist".

<span class="mw-page-title-main">Hedge maze</span> Outdoor garden maze or labyrinth

A hedge maze is an outdoor garden maze or labyrinth in which the "walls" or dividers between passages are made of vertical hedges.

<span class="mw-page-title-main">Corn maze</span> Mazes produced from patterns cut or grown into farmland

A corn maze or maize maze is a maze cut out of a corn field. Corn mazes have become popular agritourism attractions in North America, and are a way for farms to generate tourist income. Corn mazes appear in many different designs. Most have a path which goes all around the whole pattern, either to end in the middle or to come back out again, with various false trails diverging from the main path. In the United Kingdom, they are known as maize mazes, and are especially popular with farms in the east of England.

<span class="mw-page-title-main">Palazzo Giusti</span> Palace and garden in Verona, Italy

The Giusti Palace and Garden are located in the east of Verona, Italy, a short distance from Piazza Isolo and near the city centre. The palace was built in the sixteenth century. The garden is considered one of the finest examples of an Italian garden.

<span class="mw-page-title-main">Finca Los Alamos</span>

Finca Los Alamos is a historic Argentine estancia located in San Rafael, Mendoza. The estate was built in 1830 by the Bombal family, and originally served as a frontier fort. Domingo Bombal, who served eleven terms as Governor to the Mendoza Province, owned the estate until his death in 1908.

<span class="mw-page-title-main">Parc del Laberint d'Horta</span>

The Parc del Laberint d'Horta is a historical garden in the Horta-Guinardó district in Barcelona and the oldest of its kind in the city. Located on the former estate of the Desvalls family, next to the Collserola ridge, the park comprises an 18th-century neoclassical garden and a 19th-century romantic garden. On the lower terrace is the hedge maze that gives the park its name.

Dave Phillips is a maze and puzzle designer, and writer of The Zen Of The Labyrinth—Mazes For The Connoisseur. Phillips has provided puzzles for Reader's Digest, Highlights, National Geographic World, Die Zeit, Ranger Rick, Omni, Games, Scientific American, and United Features Syndicate. He has also created jigsaw puzzle mazes for Hallmark and die cut puzzle mazes for DaMert.

<span class="mw-page-title-main">The labyrinth of Versailles</span> Labyrinth in Versailles, Kingdom of France

The labyrinth of Versailles was a hedge maze in the Gardens of Versailles with groups of fountains and sculptures depicting Aesop's Fables. André Le Nôtre initially planned a maze of unadorned paths in 1665, but in 1669, Charles Perrault advised Louis XIV to include thirty-nine fountains, each representing one of the fables of Aesop. The work was carried out between 1672 and 1677. Water jets spurting from the animals mouths were conceived to give the impression of speech between the creatures. There was a plaque with a caption and a quatrain written by the poet Isaac de Benserade next to each fountain. A detailed description of the labyrinth, its fables and sculptures is given in Perrault's Labyrinte de Versailles, illustrated with engravings by Sébastien Leclerc.

<span class="mw-page-title-main">Bridge End Gardens</span>

Bridge End Gardens is a group of linked ornamental gardens in Saffron Walden, Essex, England. The gardens are listed Grade II* on the Register of Parks and Gardens. They are located off Castle Street, close to the Fry Art Gallery. Features include a maze.

<span class="mw-page-title-main">Formal garden</span>

A formal garden is a garden with a clear structure, geometric shapes and in most cases a symmetrical layout. Its origin goes back to the gardens which are located in the desert areas of Western Asia and are protected by walls. The style of a formal garden is reflected in the Persian gardens of Iran, and the monastic gardens from the Late Middle Ages. It has found its continuation in the Italian Renaissance gardens and has culminated in the French formal gardens from the Baroque period. Through its design, the garden conveys a sense of established order and transparency to the observer.

<span class="mw-page-title-main">Amantikir Park</span> Garden in Brazil

Amantikir Park or Amantikir Gardens is a park that includes a set of gardens and several points of interest. Located in the municipality of Campos do Jordão, 180 kilometres (110 mi) northeast of the Brazilian city of São Paulo, the park is visited by thousands of tourists annually.

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Further reading