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Daniil Frolov wrote on Sun, Oct 17, 2010 02:06 PM UTC:
Playing on corners of squares changes nothing: board is still rectangular.
Playing on borders (there is a game - Border wars by Jared McComb), at
first sight makes new shape, but acrually board is still rectangular (turn
it 45 degrees).
Playing on hex interesections will make triangular board and vice versa.
And what will be if game will be played on borders of hexes and triangles?!
And, if it will make new shape, what about playing on corners of borders of
these shapes?! And what with other shapes? It's quite interesting way to
make new board shapes.