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Omny
DescriptionOmny is a drawless connection game for two players: Black and White. It is played on the spaces (cells) of a finite, initially empty patch of a hexagonal tiling. Each player must have access to a sufficient number of stones of their own color. DefinitionsA group is a set of interconnected stones of the same color. A cut of a group is a set of interconnected cells (empty or occupied by either color) including no stones in that group. PlayBefore the game starts, some cells on the board are designated as star cells. Black plays first, then turns alternate. On your turn, place a stone of your color on an empty cell. You win by making a group of your color such that none of its cuts include more than half of the star cells on the board. Komi and pie ruleKomi or the pie rule (or both) can be used in order to make the game fair. The pie rule gives White the option, on their first turn only, to swap sides with their opponent instead of making a regular move. Komi is either a whole number or a whole number plus 0.5. When komi is used, Black wins by making a black group such that none of its cuts include more than half of the star cells on the board minus komi, and White wins by making a white group such that none of its cuts include more than half of the star cells on the board plus komi. Komi works best when the number of star cells is fairly large. Before the game starts, the first player chooses the value of komi, and then the second player chooses sides. Alternatively, experienced players may agree on a standard value for all games. When komi and the pie rule are used together, Black on their first turn chooses komi and places a black stone on the board, and then White has the option to swap sides with Black instead of making a regular move. NotesRaces (but not draws) are possible when the sum of the number of star cells and twice the value of komi is an even number. Different board shapes and star cell configurations result in different games:
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