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A **puzzle** is a game, problem, or toy that tests a person's ingenuity or knowledge. In a puzzle, the solver is expected to put pieces together 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.

- Etymology
- Genres
- Puzzle solving
- Puzzle makers
- History of jigsaw puzzles
- History of other puzzles
- Organizations and events
- See also
- References
- External links

Puzzles are often created to be a form of entertainment but they can also arise from serious mathematical or logical problems. In such cases, their solution may be a significant contribution to mathematical research.^{ [1] }

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...to the West Indies, 1594–95, narrated by Capt. Wyatt, by himself, and by Abram Kendall, master* (published circa 1595). The word later came to be used as a noun, first as an abstract noun meaning 'the state or condition of being puzzled', and later developing the meaning of 'a perplexing problem'. The *OED*'s earliest clear citation in the sense of 'a toy that tests the player's ingenuity' is from Sir Walter Scott's 1814 novel * Waverley *, referring to a toy known as a "reel in a bottle".^{ [2] }

The etymology of the verb *puzzle* is described by *OED* as "unknown"; unproven hypotheses regarding its origin include an Old English verb *puslian* meaning 'pick out', and a derivation of the verb *pose*.^{ [3] }

Puzzles can be categorized as:

- Lateral thinking puzzles, also called "situation puzzles"
- Mathematical puzzles include the missing square puzzle and many impossible puzzles — puzzles which have no solution, such as the Seven Bridges of Königsberg, the three cups problem, and three utilities problem
- Sangaku (Japanese temple tablets with geometry puzzles)

- Mechanical puzzles or dexterity puzzles such as the Rubik's Cube and Soma cube can be stimulating toys for children or recreational activities for adults.
- A chess problem is a puzzle that uses chess pieces on a chess board. Examples are the knight's tour and the eight queens puzzle.
- combination puzzles like Peg solitaire
- construction puzzles such as stick puzzles
- disentanglement puzzles,
- folding puzzles
- jigsaw puzzles. Puzz 3D is a three-dimensional variant of this type.
- lock puzzles
- A puzzle box can be used to hide something — jewelry, for instance.
- sliding puzzles (also called sliding tile puzzles) such as the 15 Puzzle and Sokoban
- tiling puzzles like Tangram
- Tower of Hanoi

- Metapuzzles are puzzles which unite elements of other puzzles.
- Paper-and-pencil puzzles such as
*Uncle Art's Funland*, connect the dots, and nonograms- Also the logic puzzles published by Nikoli: Sudoku, Slitherlink, Kakuro, Fillomino, Hashiwokakero, Heyawake, Hitori, Light Up, Masyu, Number Link, Nurikabe, Ripple Effect, Shikaku, and Kuromasu.

- Spot the difference
- Tour puzzles like a maze
- Word puzzles, including anagrams, ciphers, crossword puzzles, Hangman (game), and word search puzzles. Tabletop and digital word puzzles include Bananagrams, Boggle, Bonza, Dabble, Letterpress (video game), Perquackey, Puzzlage, Quiddler, Ruzzle, Scrabble, Upwords, WordSpot, and Words with Friends. Wheel of Fortune (U.S. game show) is a game show centered on a word puzzle.
- Puzzle video games

This section possibly contains original research .(November 2018) |

Solutions of puzzles often require the recognition of patterns and the adherence to a particular kind of ordering. People with a high level of inductive reasoning aptitude may be better at solving such puzzles than others. But puzzles based upon inquiry and discovery may be solved more easily by those with good deduction skills. Deductive reasoning improves with practice. Mathematical puzzles often involves BODMAS. BODMAS is an acronym and it stands for Bracket, Of, Division, Multiplication, Addition and Subtraction. In certain regions, PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction) is the synonym of BODMAS. It explains the order of operations to solve an expression. Some mathematical puzzle requires Top to Bottom convention to avoid the ambiguity in the order of operations. It is an elegantly simple idea that relies, as sudoku does, on the requirement that numbers appear only once starting from top to bottom as coming along.^{[ citation needed ]}

Puzzle makers are people who make puzzles. In general terms of occupation, a *puzzler* is someone who composes and/or solves puzzles.

Some notable creators of puzzles are:

Jigsaw puzzles are perhaps the most popular form of puzzle. Jigsaw puzzles were invented around 1760, when John Spilsbury, a British engraver and cartographer, mounted a map on a sheet of wood, which he then sawed around the outline of each individual country on the map. He then used the resulting pieces as an aid for the teaching of geography.

John Spilsbury, an engraver and mapmaker, was also credited with inventing the first jigsaw puzzle in 1767.^{ [4] }

After becoming popular among the public, this kind of teaching aid remained the primary use of jigsaw puzzles until about 1820.^{ [5] }

The largest puzzle (40,320 pieces) is made by German game company Ravensburger.^{ [6] } The smallest puzzle ever made was created at LaserZentrum Hannover. It is only five square millimeters, the size of a sand grain.

The puzzles that were first documented are riddles. In Europe, Greek mythology produced riddles like the riddle of the Sphinx. Many riddles were produced during the Middle Ages, as well.^{ [7] }

By the early 20th century, magazines and newspapers found that they could increase their readership by publishing puzzle contests, beginning with crosswords and in modern days sudoku.

There are organizations and events that cater to puzzle enthusiasts, such as:

- List of impossible puzzles – Wikipedia list article
- List of Nikoli puzzle types
- Riddle – Statement or question or phrase having a double or veiled meaning, put forth as a puzzle to be solved

Derived from the Greek word for '5', and "domino", a **pentomino** is a polyomino of order 5, that is, a polygon in the plane made of 5 equal-sized squares connected edge-to-edge. When rotations and reflections are not considered to be distinct shapes, there are 12 different *free* pentominoes. When reflections are considered distinct, there are 18 *one-sided* pentominoes. When rotations are also considered distinct, there are 63 *fixed* pentominoes.

The **Rubik's Cube** is a 3-D combination puzzle invented in 1974 by Hungarian sculptor and professor of architecture Ernő Rubik. Originally called the **Magic Cube**, the puzzle was licensed by Rubik to be sold by Ideal Toy Corp. in 1980 via businessman Tibor Laczi and Seven Towns founder Tom Kremer. Rubik's Cube won the 1980 German Game of the Year special award for Best Puzzle. As of January 2009, 350 million cubes had been sold worldwide, making it the world's bestselling puzzle game and bestselling toy.

A **crossword** is a word puzzle that usually takes the form of a square or a rectangular grid of white- and black-shaded squares. The game's goal is to fill the white squares with letters, forming words or phrases, by solving clues, which lead to the answers. In languages that are written left-to-right, the answer words and phrases are placed in the grid from left to right ("across") and from top to bottom ("down"). The shaded squares are used to separate the words or phrases.

A **cryptic crossword** is a crossword puzzle in which each clue is a word puzzle. Cryptic crosswords are particularly popular in the United Kingdom, where they originated, Ireland, Israel, the Netherlands, and in several Commonwealth nations, including Australia, Canada, India, Kenya, Malta, New Zealand, and South Africa. Compilers of cryptic crosswords are commonly called "setters" in the UK and "constructors" in the US.

A **jigsaw puzzle** is a tiling puzzle that requires the assembly of often oddly shaped interlocking and mosaiced pieces, each of which typically has a portion of a picture; when assembled, they produce a complete picture.

**Rubik's Magic**, like Rubik's Cube, is a mechanical puzzle invented by Ernő Rubik and first manufactured by Matchbox in the mid-1980s.

**Mathematical puzzles** make up an integral part of recreational mathematics. They have specific rules, but they do not usually involve competition between two or more players. Instead, to solve such a puzzle, the solver must find a solution that satisfies the given conditions. Mathematical puzzles require mathematics to solve them. Logic puzzles are a common type of mathematical puzzle.

**Kakuro** or **Kakkuro or Kakoro** is a kind of logic puzzle that is often referred to as a mathematical transliteration of the crossword. Kakuro puzzles are regular features in many math-and-logic puzzle publications across the world. In 1966, Canadian Jacob E. Funk, an employee of Dell Magazines, came up with the original English name *Cross Sums* and other names such as *Cross Addition* have also been used, but the Japanese name *Kakuro,* abbreviation of Japanese *kasan kurosu*, seems to have gained general acceptance and the puzzles appear to be titled this way now in most publications. The popularity of Kakuro in Japan is immense, second only to Sudoku among Nikoli's famed logic-puzzle offerings.

**Sudoku** is a logic-based, combinatorial number-placement puzzle. In classic sudoku, the objective is to fill a 9 × 9 grid with digits so that each column, each row, and each of the nine 3 × 3 subgrids that compose the grid contain all of the digits from 1 to 9. The puzzle setter provides a partially completed grid, which for a well-posed puzzle has a single solution.

**Nikoli Co., Ltd.** is a Japanese publisher that specializes in games and, especially, logic puzzles. *Nikoli* is also the nickname of a quarterly magazine issued by the company in Tokyo. *Nikoli* was established in 1980 and became prominent worldwide with the popularity of *Sudoku*.

A **sliding puzzle**, **sliding block puzzle**, or **sliding tile puzzle** is a combination puzzle that challenges a player to slide pieces along certain routes to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a larger picture, numbers, or letters.

* GAMES World of Puzzles* is a puzzle magazine formed from the merger of

**God's algorithm** is a notion originating in discussions of ways to solve the Rubik's Cube puzzle, but which can also be applied to other combinatorial puzzles and mathematical games. It refers to any algorithm which produces a solution having the fewest possible moves, the idea being that only an omniscient being would know an optimal step from any given configuration.

The following outline is provided as an overview of and topical guide to games and gaming:

In mathematics, a **combinatorial explosion** is the rapid growth of the complexity of a problem due to how the combinatorics of the problem is affected by the input, constraints, and bounds of the problem. Combinatorial explosion is sometimes used to justify the intractability of certain problems. Examples of such problems include certain mathematical functions, the analysis of some puzzles and games, and some pathological examples which can be modelled as the Ackermann function.

**Rubik's Games** is a, five games in one, PC game created for Windows 95/98 developed in part by Ernő Rubik with Androsoft and was published by Hasbro Interactive. It was part of Hasbro's classical games collection of PC related games, translating their most famous board games into best possible quality video games. A history of the Rubik's Cube and its inventor, written out in a webpage type file, with pictures is available from the Menu.

**KenKen** and **KenDoku** are trademarked names for a style of arithmetic and logic puzzle invented in 2004 by Japanese math teacher Tetsuya Miyamoto, who intended the puzzles to be an instruction-free method of training the brain. The name derives from the Japanese word for cleverness. The names **Calcudoku** and **Mathdoku** are sometimes used by those who do not have the rights to use the KenKen or KenDoku trademarks.

**Hidato**, also known as "Hidoku", is a logic puzzle game invented by Dr. Gyora M. Benedek, an Israeli mathematician. The goal of Hidato is to fill the grid with consecutive numbers that connect horizontally, vertically, or diagonally. The name Hidato is a registered trademark of Doo-Bee Toys and Games LTD, a company co-founded by Benebek himself. Some publishers use different names for this puzzle such as Number Snake, Snakepit, Jadium or Numbrix.

The **Nine-Colour Cube** is a cubic twisty puzzle. It was invented in 2005 by Milan Vodicka and mass-produced by Meffert's seven years later. Mechanically, the puzzle is identical to the Rubik's Cube; however, unlike the Rubik's Cube, which only has 6 different colours, the Nine-Colour Cube has 9 colours, with the individual pieces having one colour each.

- ↑ Kendall G.; Parkes A.; and Spoerer K. (2008)
*A Survey of NP-Complete Puzzles*, International Computer Games Association Journal, 31(1), pp 13–34. - ↑ "puzzle, n." OED Online. Oxford University Press, December 2019. Web. 21 January 2020.
- ↑ "puzzle, v." OED Online. Oxford University Press, December 2019. Web. 21 January 2020.
- ↑ "History of Puzzles | PuzzleWarehouse.com".
*www.puzzlewarehouse.com*. Retrieved 2019-11-20. - ↑ History of Jigsaw Puzzles Archived 2014-02-11 at the Wayback Machine The American Jigsaw Puzzle Society
- ↑ "The worlds biggest Puzzle | Ravensburger".
*www.ravensburger.us*. Retrieved 2018-06-23. - ↑ "A Brief History of Puzzles".
*Puzzle Museum*. 6 April 2017. Archived from the original on 14 April 2020.

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