Connex'Oh

Connex'Oh, aka Connexion, is a 1992 game by Sébastien Sjoholm, and published by Carlit.

The game is played on a 6x6 board. There are 36 tiles each divided into a dark triangle and a light triangle, and each player owns six pieces of his color. 

All tiles and pieces are initially placed as in the following diagram:

 Rules:

• On his turn, each player can either:
• Slide a friendly piece along a path made of empty adjacent triangles of the same color (two triangles are connected if they share one edge)
• note: the moving piece cannot jump over other pieces, nor stop on an occupied triangle
  
• Rotate a tile, whether it has pieces on it or not, by a quarter-turn or half-turn in either direction
• If the rotated tile made new connections of the player's color, then neither one of these tiles can be rotated next
• The game has a red token to identify the last rotated tile (cf. next picture) and its adjacent connections

 

• Wins the player that moves his army out of the board from to the player's opposite side
• To exit a piece from the game, the path it is on must be connected to the opposite side of the board; this requires the last triangle of the path to touch the edge of the game frame
• Once a path is connected to the exit, all pieces on that path are immediately removed from the game without waiting for the next turn. This rule applies regardless of which player connected the path.
• If a tile rotation causes both last pieces of both players to exit the board, the player that rotated the tile loses the game.
  

The rule of any number of pieces immediately leaving the game when a path is open to the board's edge, seems a way to allow the game to quickly converge to its end, but at the cost of loss of uniformity: it is a rule quite different in nature with regards to the regular move of just one piece per turn.

There is a 4x4 version of this game named Connexo published in 1995.