Information AboutDomineering |
| CATEGORIES ABOUT DOMINEERING | |
| abstract strategy games | |
| mathematical games | |
| combinatorial game theory | |
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Domineering (also called '''Stop-Gate''') is a Mathematical Game played on a sheet of Graph Paper , with any set of designs traced out. For example, it can be played on a 6x6 square, a Checkerboard , an entirely irregular Polygon , or any combination thereof. Two players have a collection of Domino es which they place on the grid in turn, covering up squares. One player, Left, plays his tiles vertically, while the other plays his horizontally. As in most games in Combinatorial Game Theory , the first player who cannot move loses. BASIC EXAMPLES Single box Other than the empty game, where there is no grid, the simplest game is a single box. _ | ||
| The Leftmost Game Is A 2-by-1 Grid As In Most Games, We As The | "http://wwwinformationdelightinfo/encyclopedia/entry/mathematician" class="copylinks">Mathematician are "rooting" for Left, so when he is winning, the game has a Positive value In this case, Left has no moves, while Right can play a domino to cover the entire board, leaving nothing, which is clearly a zero game Thus in Surreal Number notation, this game is <nowiki>{</nowiki>0} = -1 This makes sense, as this grid is a 1-move advantage for Right The second box is also <nowiki>{</nowiki>0} = -1, because a single box is unplayable |
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