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Dots and boxes is a pencil-and-paper game for two players (sometimes more). It was first published in the 19th century by French mathematician Édouard Lucas, who called it la pipopipette. [1] It has gone by many other names, [2] including dots and dashes, game of dots, [3] dot to dot grid, [4] boxes, [5] and pigs in a pen.
Sprouts is an impartial paper-and-pencil game which can be analyzed for its mathematical properties. It was invented by mathematicians John Horton Conway and Michael S. Paterson [1] at Cambridge University in the early 1960s. The setup is even simpler than the popular dots and boxes game, but gameplay develops much more artistically and ...
Dots (game) Dots is played with two pens of two different colors and a piece of squared paper. The goal is to surround more dots than the opponent. Dots ( Czech: Židi, Polish: Kropki, Russian: Точки) is an abstract strategy game, played by two or more people on a sheet of squared paper. The game is somewhat similar to Go, in that the goal ...
The rule of "swap after 1st move" is a variant of the freestyle gomoku rule, and is mostly played in China. The game can be played on a 19×19 or 15×15 board. As per the rule, once the first player places a black stone on the board, the second player has the right to swap colors. The rest of the game proceeds as freestyle gomoku.
The first volume introduces combinatorial game theory and its foundation in the surreal numbers; partizan and impartial games; Sprague–Grundy theory and misère games. The second volume applies the theorems of the first volume to many games, including nim, sprouts, dots and boxes, Sylver coinage, philosopher's phutball, fox and geese.
Connect Four (also known as Connect 4, Four Up, Plot Four, Find Four, Captain's Mistress, Four in a Row, Drop Four, and Gravitrips in the Soviet Union) is a game in which the players choose a color and then take turns dropping colored tokens into a six-row, seven-column vertically suspended grid. The pieces fall straight down, occupying the ...
In recent times, they have been supplanted by mobile games. [2] Some popular examples of pencil-and-paper games include tic-tac-toe, sprouts, dots and boxes, hangman, MASH, paper soccer, and spellbinder. [3] The term is unrelated to the use in role-playing games to differentiate tabletop games from role-playing video games.
Induction puzzles are logic puzzles, which are examples of multi-agent reasoning, where the solution evolves along with the principle of induction. [1][2] A puzzle's scenario always involves multiple players with the same reasoning capability, who go through the same reasoning steps. According to the principle of induction, a solution to the ...
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