Recreational mathematics explained

Recreational mathematics is mathematics carried out for recreation (entertainment) rather than as a strictly research- and application-based professional activity or as a part of a student's formal education. Although it is not necessarily limited to being an endeavor for amateurs, many topics in this field require no knowledge of advanced mathematics. Recreational mathematics involves mathematical puzzles and games, often appealing to children and untrained adults and inspiring their further study of the subject.[1]

The Mathematical Association of America (MAA) includes recreational mathematics as one of its seventeen Special Interest Groups, commenting:

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 Rubik's Cubes, 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 studied in the mathematical field of 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 do not 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.

Mathemagics

Magic tricks based on mathematical principles can produce self-working but surprising effects. For instance, a mathemagician might use the combinatorial properties of a deck of playing cards to guess a volunteer's selected card, or Hamming codes to identify whether a volunteer is lying.[2]

Other activities

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

Online blogs, podcasts, and YouTube channels

There are many blogs and audio or video series devoted to recreational mathematics. Among the notable are the following:

Publications

People

Prominent practitioners and advocates of recreational mathematics have included professional and amateur mathematicians:

Full name Last name Born Died NationalityDescription
Lewis Carroll (Charles Dodgson) Carroll 1832 1898 EnglishMathematician, puzzlist and Anglican deacon best known as the author of Alice in Wonderland and Through the Looking-Glass.
Loyd 1841 1911 AmericanChess problem composer and author, described as "America's greatest puzzlist" by Martin Gardner.[3]
Dudeney 1857 1930 EnglishCivil servant described as England's "greatest puzzlist".[4]
Perelman 1882 1942 RussianAuthor of many popular science and mathematics books, including Mathematics Can Be Fun.
Kaprekar 1905 1986 IndianDiscovered several results in number theory, described several classes of natural numbers including the Kaprekar, harshad and self numbers, and discovered the Kaprekar's constant
Gardner 1914 2010 AmericanPopular mathematics and science writer; author of Mathematical Games, a long-running Scientific American column.
Smullyan 1919 2017 AmericanLogician; author of many logic puzzle books including "To Mock a Mockingbird".
Madachy 1927 2014 AmericanLong-time editor of Journal of Recreational Mathematics, author of Mathematics on Vacation.
Golomb 1932 2016 AmericanMathematician and engineer, best known as the inventor of polyominoes.
Conway 1937 2020 EnglishMathematician and inventor of Conway's Game of Life, co-author of Winning Ways, an analysis of many mathematical games.
Lee SallowsSallows1944EnglishInvented geomagic squares, golygons, and self-enumerating sentences.

See also

Further reading

External links

Notes and References

  1. Kulkarni, D. Enjoying Math: Learning Problem Solving With KenKen Puzzles, a textbook for teaching with KenKen Puzzles.
  2. Book: Teixeira, Ricardo. Mathemagics: A Magical Journey through Advanced Mathematics. World Scientific. 2020. 9789811214509. USA.
  3. Loyd, Sam (1959). Mathematical Puzzles of Sam Loyd (selected and edited by Martin Gardner), Dover Publications Inc., p. xi,
  4. .