Mar 16, 2007

Play Hex in different boards

[from here] Here are some alternate boards to play Hex on. This first one I call "Pex11" because the cells are all pentagons, and the tiling is number 11 on the list of all known classes of pentagon that tile the plane. The complete list can be found here (Check also the Penrose tilings).

Of all the classes given, only two of them, 11 and 14, meet these criteria:
* nowhere do more than three pentagons meet in a point.
* the pattern is topologically distinct from a hexagonal grid.

In a normal hex grid, each interior cell is adjacent to six other cells.
In the type 11 pattern, half the interior cells are adjacent to five neighbors.
and the other half are adjacent to seven. The pentagons are colored accordingly.

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