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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.
[1] [2] The game is played on a hexagon-shaped gameboard comprising 96 triangular cells. Each player commands a full set of chess pieces in addition to three extra pawns and a unicorn . Triangular chess and its variation tri-chess were included in World Game Review No. 10 edited by Michael Keller.
A triomino tile is in the shape of an equilateral triangle approximately 1 in (2.5 cm) on each side and approximately 1 ⁄ 4 in (6.4 mm) thick. Each point of the triangle has a number (most often from 0 to 5, as in the Pressman version), [2] and each triomino has a unique combination of numbers, subject to the following restrictions:
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Triangular Dominoes is a variant of dominoes using equilateral triangle tiles, patented by Franklin H. Richards in 1885. Two versions were made: a starter set of 35 unique tiles, with each side numbered from zero to four pips, and an advanced set of 56 unique tiles, with each side numbered from zero to five pips.
In a review of the game in Games & Puzzles No.41, David Wells praised it for its "ample entertainment and tactical possibilities." [2] Marvin Kaye, writing for Galileo, concluded that the game was "an excellent abstract strategy game" but that "unless one is a game buff, one can become hopelessly confused as to the object of Tri-Nim, which is to finish last."
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.
The apparent triangles formed from the figures are 13 units wide and 5 units tall, so it appears that the area should be S = 13×5 / 2 = 32.5 units. However, the blue triangle has a ratio of 5:2 (=2.5), while the red triangle has the ratio 8:3 (≈2.667), so the apparent combined hypotenuse in each figure is actually bent.
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