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Le Trioker is a corner-matching puzzle game played using 25 equilateral triangle-shaped tiles.Each corner is marked with zero, one, two, or three dots and newly placed pieces must match the values on pieces already placed on the game board, similar to the gameplay of the earlier Triominoes.
Tri-nim is played on a game board that has on it an equilateral triangle cut into 36 smaller triangles. The centre triangles are marked with zeros, while the rest are marked with a point value from one to six moving towards the corners. [1] Players take turns moving stacks of counters from the centre towards one of the three corners marked with ...
For another proof that there must eventually be a triangle of either color, see the Theorem on friends and strangers. Computer search has verified that the second player can win Sim with perfect play, but finding a perfect strategy that humans can easily memorize is an open problem. [1] The game of Sim is one example of a Ramsey game.
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[4] [2] The game is for two players and is the same as triangular chess in all respects except the moves of the bishop, rook, queen, and king are increased. A bishop moves in six directions constituting board diagonals. A rook moves in six directions along horizontal ranks or oblique files. The queen moves as a rook or bishop. (Twelve directions.)