Recreational mathematics

Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research and application-based professional activity. Although it is not necessarily limited to being an endeavor for amateurs, it often involves mathematical puzzles and games.

Many topics in this field require no knowledge of advanced mathematics, and recreational mathematics often appeals to children and untrained adults, inspiring their further study of the subject. [1] Mathematical competitions (such as those sponsored by mathematical associations) are also categorized under recreational mathematics.

Topics

Some of the more well-known topics in recreational mathematics are magic squares, fractals, logic puzzles and mathematical chess problems, but this area of mathematics includes the aesthetics and culture of mathematics, peculiar or amusing stories and coincidences about mathematics, and the personal lives of mathematicians.

Mathematical games

Mathematical games are multiplayer games whose rules, strategies, and outcomes can be studied and explained using mathematics. The players of the game may not need to use explicit mathematics in order to play mathematical games. For example, Mancala is a mathematical game because mathematicians can study it using combinatorial game theory, but no mathematics is necessary in order to play it.

Mathematical puzzles

Mathematical puzzles require mathematics in order to solve them. They have specific rules, as do multiplayer games, but mathematical puzzles don't usually involve competition between two or more players. Instead, in order to solve such a puzzle, the solver must find a solution that satisfies the given conditions.

Logic puzzles and classical ciphers are common examples of mathematical puzzles. Cellular automata and fractals are also considered mathematical puzzles, even though the solver only interacts with them by providing a set of initial conditions.

As they often include or require game-like features or thinking, mathematical puzzles are sometimes also called mathematical games.

Other activities

Other curiosities and pastimes of non-trivial mathematical interest include:

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