Mathematical game: Difference between revisions
→List of games: An additional Topic that can be concidered part of the Category |
imported>Katsutoshi Seki |
||
| Line 3: | Line 3: | ||
{{more citations needed|date=August 2021}} | {{more citations needed|date=August 2021}} | ||
[[File:Clumsy wagon (IME-USP).webm|thumb|The wagon must travel a path that is given by a mathematical function.]] | [[File:Clumsy wagon (IME-USP).webm|thumb|The wagon must travel a path that is given by a mathematical function.]] | ||
A '''mathematical game''' is a [[game]] whose rules, strategies, and outcomes are defined by clear [[mathematics|mathematical]] parameters.<ref>{{Cite web|title=Games, theory of - Encyclopedia of Mathematics|url=https://encyclopediaofmath.org/wiki/Games,_theory_of|access-date=2021-08-11|website=encyclopediaofmath.org}}</ref>{{Verify source|date=August 2021}}{{clarify|reason=What's a mathematical parameter?|date=February 2024}} Often, such games have simple rules and match procedures, such as [[tic-tac-toe]] and [[dots and boxes]]. Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings. For example, even though the rules of [[Mancala]] are relatively basic, the game can be rigorously analyzed through the lens of [[combinatorial game theory]].{{Citation needed|date=August 2021}} | A '''mathematical game''' is a [[game]] whose rules, strategies, and outcomes are defined by clear [[mathematics|mathematical]] parameters.<ref>{{Cite web|title=Games, theory of - Encyclopedia of Mathematics|url=https://encyclopediaofmath.org/wiki/Games,_theory_of|access-date=2021-08-11|website=encyclopediaofmath.org}}</ref>{{Verify source|date=August 2021}}{{clarify|reason=What's a mathematical parameter?|date=February 2024}} Often, such games have simple rules and match procedures, such as [[tic-tac-toe]] and [[dots and boxes]]. Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings. For example, even though the rules of [[Mancala]] are relatively basic, the game can be rigorously analyzed through the lens of [[combinatorial game theory]].{{Citation needed|date=August 2021}} | ||
| Line 26: | Line 27: | ||
** [[Chess variants]] | ** [[Chess variants]] | ||
* [[Chomp]] | * [[Chomp]] | ||
* [[Dodgem]] | |||
* [[Domineering]] | * [[Domineering]] | ||
* [[Dots and boxes]] | * [[Dots and boxes]] | ||
Latest revision as of 11:01, 17 November 2025
Template:Short description Script error: No such module "about". Template:More citations needed
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters.[1]Script error: No such module "Unsubst".Template:Clarify Often, such games have simple rules and match procedures, such as tic-tac-toe and dots and boxes. Generally, mathematical games need not be conceptually intricate to involve deeper computational underpinnings. For example, even though the rules of Mancala are relatively basic, the game can be rigorously analyzed through the lens of combinatorial game theory.Script error: No such module "Unsubst".
Mathematical games differ sharply from mathematical puzzles in that mathematical puzzles require specific mathematical expertise to complete, whereas mathematical games do not require a deep knowledge of mathematics to play. Often, the arithmetic core of mathematical games is not readily apparent to players untrained to note the statistical or mathematical aspects.Script error: No such module "Unsubst".
Some mathematical games are of deep interest in the field of recreational mathematics.[2]Script error: No such module "Unsubst".
When studying a game's core mathematics, arithmetic theory is generally of higher utility than actively playing or observing the game itself. To analyze a game numerically, it is particularly useful to study the rules of the game insofar as they can yield equations or relevant formulas. This is frequently done to determine winning strategies or to distinguish if the game has a solution.Script error: No such module "Unsubst".
Additionally, mathematical games can aid children in grasping fundamental concepts such as addition, subtraction, multiplication,[3] and division, enhancing their arithmetic skills in an engaging manner.
List of games
Sometimes it is not immediately obvious that a particular game involves chance. Often a card game is described as "pure strategy" and such, but a game with any sort of random shuffling or face-down dealing of cards should not be considered to be "no chance". Several abstract strategy games are listed below:
Lattice board
- Angels and Devils
- Arimaa
- Checkers (English draughts)
- Chess
- Chomp
- Dodgem
- Domineering
- Dots and boxes
- Go
- Gomoku
- Hex
- Hexapawn
- L game
- Othello
- Pente
- Philosopher's football
- Rhythmomachy
- Tak
- Tic-tac-toe