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In more modern times the sometimes confusing and arbitrary nature of word problems has been the subject of satire. Gustave Flaubert wrote this nonsensical problem, now known as the Age of the captain: Since you are now studying geometry and trigonometry, I will give you a problem. A ship sails the ocean. It left Boston with a cargo of cotton.
A mathematical game is a game whose rules, strategies, and outcomes are defined by clear mathematical parameters. [1] [verification needed] [clarification needed] 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 ...
Mutilated chessboard problem – Place 31 dominoes of size 2×1 on a chessboard with two opposite corners removed. [4] Coloring the edges of the Petersen graph with three colors. [5] Seven Bridges of Königsberg – Walk through a city while crossing each of seven bridges exactly once. [6]
This problem has a graph-theoretic solution in which a graph with four vertices labeled B, G, R, W (for blue, green, red, and white) can be used to represent each cube; there is an edge between two vertices if the two colors are on the opposite sides of the cube, and a loop at a vertex if the opposite sides have the same color. Each individual ...
Game elements are things that appear within a video game that contribute to the gameplay experience. In most game design frameworks, game elements are categorized into groups to help describe their roles in the games. A game element refers to anything ranging from a player's special ability to the relations between different game mechanics in a ...
If two squares of opposite colors are removed, then the remaining board can always be tiled with dominoes; this result is Gomory's theorem, [22] after mathematician Ralph E. Gomory, whose proof was published in 1973. [18] [20] Gomory's theorem can be proven using a Hamiltonian cycle of the grid graph formed by the chessboard squares. The ...