Superstring is the latest installment in the "nD" game series, a collection of games designed to explore the unique environment of n-space. These games, including to date Wormhole, Hyperspace, and Skava, are characterized by simple rule sets that allow the player to focus on the interconnections of "hyperboards."
 
Superstring is unique among the nD games in that it is cross-dimensional, meaning that its rule set works in space of arbitrary dimensions. The rules are:
 
The players take turns placing two pieces on the board.
 
Each piece must be placed orthogonally adjacent to the last piece played by that player.
 
Win by stalemating your opponent.
 
Black opens the game by placing only one piece.
 
The paths created by placing pieces in orthogonal series are called "superstrings." A superstring snakes through n-space until entering a space surrounded on all sides, from which it cannot emerge. The first player so stalemated loses the game. There are only two superstrings in any game, yours and the opponent's, and strategy consists of forcing the opponent into portions of the board with limited space. If the board is completely filled, a draw is declared.
 
Superstring is presented in this rules file in 3D, 4D, 5D, and 6D, with the more intuitive 3D version the default. A description of the hyperboards is included in the strategy section for each variant. The game has also been implemented for 2D, hex, toroidal, and 7D boards.
 
The 3D boards are ideal for learning to think spatially. A superstring follows simple orthogonal paths along all three axes, and the players can focus on how those paths fill up the "box." The stalemate concept also helps players understand the construction of the hyperboards. Because a superstring terminates only in spaces surrounded on all orthogonal sides, a player must quickly learn to identify how spaces are connected along the multiple axes.
 
N-space has long been familiar to mathematicians and physicists. As strange as the concept seems, contemporary string theory in physics, now widely accepted as the most promising path toward a unified field theory (the so-called "Theory of Everything"), holds that there are nine spatial dimensions (or even ten!) in the universe, at least at the particle level. The nD series offers a glimpse of these extra degrees of freedom.
 
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You should extract the game preserving path names.