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Play the Hex-7 puzzle for free
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Your Objective:
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The Controls:
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The players take turns placing their pieces on any unoccupied hex. The object of the game is for each player to connect their sides of the board with an unbroken chain of their own pieces. For White, the chain of white pieces would run from the lower left to upper right edge. For Black, from the lower right to upper left. The chain may twist and turn freely on its way from one edge to the other.
White plays first, but cannot make its opening move on the center hex. Play continues until one side or the other has won; the game cannot end in a draw.
Hex was created in 1942 by the Danish inventor Piet Hein, and independently by the American mathematician John Nash in 1948. The game was known as Polygon in Denmark, where it was very popular in the 1940's, and as Nash in the United States, where it was played in university mathematics departments.
In 1952 it was marketed in the U.S. by Parker Brothers, who gave it the name Hex. The commercial game is no longer available, but Hex has retained its popularity over the years among game players, mathematicians, and computer scientists. |
Click with the mouse where you want the piece to go. |
Hex-7
has been played 32 times
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Our Most Played Games:
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Hex-7 Strategy
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The entire basic strategy for playing Hex can be seen by analyzing a game played on a 2x2 Hex board. We'll assume here that White always moves first.
the simplest game
White wins if the opening move is made on one of the two marked hexes a1 and b2, called the main diagonal of the board. White will lose otherwise. Why? Opening on the main diagonal creates a bridge for White to the opposite edge. Forming a bridge (referred to as a 2-bridge) means that White has a double-play to create a chain of pieces.
For example, if White opens on a1, then on her next move White can play either a2 or b2; either move will win.
White builds a bridge
Black, on his first play, cannot block both moves. If he plays on a2, White plays b2 and wins. If he plays b2, White plays a2 and wins. (Of course, if Black plays b1, White can play either a2 or b2 and win.) Likewise, if White opens on b2, she creates the bridge a1/b1 to the other edge, forcing a win.
However, if White opens on one of the acute corners of the board, off the main diagonal, it is Black who creates the bridge. If White opens on b1, for example, Black responds with b2. This move blocks White's winning move to b2 and creates the bridge a1/a2, forcing a win for Black.
Black builds a bridge
The basic strategy for each player, then, on any size board, is to:
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create bridges connecting their two edges of the board
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prevent the other player from creating bridges
Playing closer to the center of the board, especially early in the game, makes the creation of bridges easier.
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Copyright © 2002 David Herzog. All rights reserved.
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and associated documentation files (the "Software"), to deal in the Software without restriction, including without limitation the rights to use, copy, modify, merge, publish, distribute, and/or sell copies of the Software, and to permit persons to whom the Software is furnished to do so, provided that the above copyright notice and this permission notice appear in all copies of the Software and that both the above copyright notice and this permission notice appear in supporting documentation.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT OF THIRD PARTY RIGHTS. IN NO EVENT SHALL THE COPYRIGHT HOLDER INCLUDED IN THIS NOTICE BE LIABLE FOR ANY CLAIM, OR ANY SPECIAL INDIRECT OR CONSEQUENTIAL DAMAGES, OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
Except as contained in this notice, the name of the copyright holder shall not be used in advertising or otherwise to promote the sale, use or other dealings in this Software without prior written authorization of the copyright holder.
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