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Puzzle

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A puzzle is a game, a toy, or a problem designed to test human ingenuity or knowledge.

Set of various puzzles
Set of various puzzles

To find a solution, a solver must typically assemble or disassemble pieces using logical methods. While many puzzles exist for entertainment, they can also stem from serious mathematical or logical challenges. In some cases, solving these problems provides a significant contribution to mathematical research. The academic study of these objects and challenges is known as enigmatology.

Solving a puzzle involves specific mental processes. Many solutions require the recognition of patterns and a strict adherence to a particular order. People with high inductive reasoning aptitude may find certain puzzles easier to solve. Others may rely on deduction, which is the process of reaching a conclusion through logical inquiry. While some skills are innate, deductive reasoning can be improved through regular practice. Mathematical puzzles often require the use of BODMAS, an acronym for Brackets, Of, Division, Multiplication, Addition, and Subtraction. In some regions, this order of operations is called PEMDAS, which includes Exponents.

There are many distinct categories of puzzles. Mechanical or dexterity puzzles, such as the Rubik's Cube or Soma cube, serve as stimulating toys. Combination puzzles include Peg solitaire, while construction puzzles involve items like stick puzzles. Disentanglement and folding puzzles are also common types. Word puzzles range from simple anagrams and ciphers to complex crosswords and word searches. Paper-and-pencil puzzles include nonograms and connect the dots. Digital versions exist as well, such as tile-matching video games or hidden object games.

Raetselkreuz
Raetselkreuz

Logic and math-based puzzles form another major group. This includes Nikoli publications like Sudoku, Kakuro, and Slitherlink. Chess problems, such as the eight queens puzzle, use pieces on a board to create a challenge. Some mathematical puzzles are categorized as "impossible," meaning they have no solution. Examples include the Seven Bridges of Königsberg and the three utilities problem. There are also Sangaku, which are Japanese temple tablets featuring geometry puzzles. Lateral thinking puzzles, often called situation puzzles, require a different approach to problem-solving.

The history of puzzles stretches back thousands of years. One of the earliest documented devices is the nine linked-rings puzzle from China. It was invented during the Warring States period, between 475 and 221 BCE. Before physical toys, riddles were the first documented puzzles. Greek mythology includes the famous riddle of the Sphinx, and many riddles were produced during the Middle Ages. The word "puzzle" was first documented as a verb in the 16th century. It appeared in a 1595 book titled The Voyage of Robert Dudley. Later, it became a noun meaning a perplexing problem or a toy testing ingenuity.

Jigsaw puzzles have a specific origin story from the 18th century. Around 1760, a British engraver named John Spilsbury created the first version. He mounted a map on a sheet of wood and sawed around the outlines of countries. He originally designed these as teaching aids for geography. They remained primarily educational tools until about 1820. Today, the scale of puzzles can vary wildly. A German company, Ravensburger, created a puzzle containing 40,320 pieces. Conversely, the smallest puzzle was made at LaserZentrum Hannover and is only five square millimeters in size.

Puzzles connect to many different fields and organized communities. Puzzlers and puzzlists are people who compose or solve these challenges. Famous creators include Ernő Rubik, Sam Loyd, and Martin Gardner. Enthusiasts participate in organized events like the World Puzzle Championship and the Nob Yoshigahara Puzzle Design Competition. There are also groups like the National Puzzlers' League and the World Cube Association. These organizations show how puzzles have moved from simple toys to a global community of dedicated solvers.

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File:Set of various puzzles.jpg
Set of various puzzles.jpg
File:Raetselkreuz.jpg
Raetselkreuz.jpg
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