Edges is an abstract stategy game for two, played on the 31 edges (not squares or points) of a three by four rectangular grid representing a canal network. The goal of Edges is to surround squares with more points worth pieces than your opponent. Large pieces are worth three strength points, medium pieces are worth two strength points, and small pieces are worth one strength point.
 
Play consists of players alternately placing pieces on the edges on the board. On their first turn only, the second player (Red) may replace the piece Blue played on the first turn, returning it to Blue's hand. In order to make play easier for Zillions, only one piece of a type is playable at any time. Once all fifteen pieces per player have been placed on the board, you score one point per square where you have more strength points worth of pieces surrounding it than your opponent, and two points if you have the only pieces surrounding it. Squares surrounded by equal strengths of pieces are worth no points to either player.
 
The idea of playing on the lines of the grid from Jared B. McComb's game of Danadazo (see http://www.chessvariants.com). Edges was originally designed to be played with Icehouse pyramids (see http://www.wunderland.com/icehouse.html for more details) on the author's coffee table.
 
More information about this game can be found at: http://home.att.net/~pbaronson/edges.html.