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Trike is a perfectly simple abstract.  Starting with an empty board, place a pawn then move it in a straight line.  When the pawn can't be moved, the game is over.  Read the complete rules here.

Trike has no obvious strategy, but once the number of acessible cells is small enough an exact solution is easily calculated.  Calculable situations are effetively traps for the unwary.

Robots:  Impossible to beat once the endgame is in sight. You must have won before that.

sample board

Trike rankings at Boardspace
Trike win/loss database
Trike official rules
Trike at BoardGameGeek
Trike game archives

The back story: 
One of many games I spotted on BoardGameGeek, but the book of puzzles caught my attention.  

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