Trigony is a game of strategy for two or more players, any number of which may be computer players. Players attempt to form chains by occupying kitty-corner areas. For each player’s turn, the player may either select a triangular area or pass. The game is over when all areas are occupied. At the end of the game, the score is calculated based on the length of the chains formed, and the highest score wins.

Figure 1 shows an empty Trigony board. The board may be made larger or smaller, depending on the complexity of the game desired.

When a player selects an area, that player gets Options on all kitty-corner areas. Imagine each line is a street. To get to the corner which is kitty-corner to the one you are on, you would have to cross each street exactly once. Below, in Figure 2, the arrow shows how areas ‘a’ and ‘b’ are kitty-corner.

As stated above, when a player selects an area, that player gets an Option on all kitty-corner areas to the selected one. When a player has an Option on an area, no other player may select that area, unless they too have an option on it. Figures 3 shows the Options a player has when various areas are selected. Options are shown by the little yellow tabs which are in the corners kitty-corner to the selected area.

A player may select an area if either they have an Option on an area or no players have an Option on an area. Figure 4 shows an example of two players having an Option on the same area. They both have options on the area that has the green tab in one corner and a yellow tab in another.

Players get points by forming chains of kitty-corner areas. Figure 5, below, shows examples of chains. The point value of a chain is calculated by multiplying it’s length by itself. Therefore, a chain with two areas in it would be worth 2x2=4 points. A chain of twelve areas would be worth 12x12=144 points.

Players also get points by occupying the four areas of a square. Figure 6 shows this and the player gets an additional 16 points. Therefore, in Figure 6, the player gets 16 points for the square, and 4 points for each of the two area chains which make up the square, totaling 24 points.

That is all there is to Trigony! The computer has many options that will help you learn Trigony.

If you would like to pass, click this button

This button will show the Options each player has by displaying the little colored tabs

This button will show the chains as you form them during the game

This button will highlight the last move made

This button will grey out areas which the current player can not select

As you play the game, the score will automatically appear at the bottom of the window, so you don't need to calculate it. Near the end of the game, when all of the unselected areas have options on them, don’t be surprised if you can not make a move and must pass. Good luck and have fun!